Strongly Correlated Electrons
Unusual upper critical field in UTe2 revealed by magnetotransport measurements up to 42 T
Macha Méplan, Ilya Sheikin, Pierre Pugnat et al. (+16 more)
The heavy-
fermion superconductor UTe2 is unique in that, at ambient pressure, it exhibits three distinct superconducting phases, two of which are induced by
magnetic field. When the field is applied along the crystallographic b axis in the orthorhombic structure, the field-induced phase SC2 develops above approximately 20 T and persists up to the metamagnetic transition at Hm about 34 T. When the
magnetic field is tilted towards the c axis, another superconducting phase, SC3, emerges at very high fields above about 40 T over a certain angular range. The origin of this exotic phase remains under debate. One of the key open questions regarding the origin of SC3 is whether it is confined to the
spin-polarized state above Hm, or whether it already develops at lower fields. Here, we report magnetoresistance measurements performed on a high-quality single
crystal of UTe2 in static
magnetic fields up to 42 T applied in the (bc) plane at temperatures down to 0.35 K. At this temperature, we find that the SC3 phase first appears at an angle of 20 deg from the b axis. At larger angles, the onset of the SC3 phase, defined by a maximum in resistivity, occurs below Hm. However, zero resistivity is reached only above Hm throughout the entire angular range investigated. These results are summarized in the resulting field-angle phase diagram. Furthermore, we find that at 21 deg the SC3 phase is rapidly suppressed with increasing temperature, whereas at 24 deg it becomes considerably more robust and persists up to about 1 K. Finally, we observe Shubnikov de Haas (SdH) oscillations in the vicinity of the c axis. The observed oscillation frequencies are in good agreement with our previous results. The field dependence of the strongest SdH frequency and of the effective mass is discussed.
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All authors Macha Méplan, Ilya Sheikin, Pierre Pugnat, Romain Barbier, François Debray, Cédric Grandclément, Steffen Krämer, Yuriy Krupko, Frédéric Molinié, Kévin Paillot, Robert Pankow, Rolf Pfister, Luc Ronayette, Benjamin Vincent, Charles Simon, Midori Amano Patino, Gérard Lapertot, Georg Knebel, Dai Aoki
Mesoscale and Nanoscale Physics
Reproducible Ohmic bismuth contacts to $\textrm{MoS}_2$ nanotubes and nanoribbons
Robin T. K. Schock, Stefan Obloh, Korbinian Fink et al. (+4 more)
Attaching metallic contacts to transition metal dichalcogenide nanostructures and in particular to $\textrm{MoS}_2$ has posed significant challenges over the past years. For $\textrm{MoS}_2$ nanotubes and nanoribbons, a highly promising material for field effect transistors as well as
quantum electronic devices, this is even more the case due to the small, curved surface. So far all attempts there have led to a wide scatter of contact resistances on the same chip. Recently, for quasi two-dimensional, flat $\textrm{MoS}_2$ flakes, the use of semimetals has led to a breakthrough, making transparent and Ohmic contacts possible. Here, we demonstrate the steps required to reproducibly fabricate contacts to single, vapor phase grown $\textrm{MoS}_2$ nanotubes and nanowires. All devices display finite room-temperature two-point resistances in absence of gating, with a median value of $340\,\textrm{k}\Omega$ in a large fabrication series. A detailed analysis elucidates the impact of the different fabrication changes.
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All authors Robin T. K. Schock, Stefan Obloh, Korbinian Fink, Matthias Kronseder, Matjaž Malok, Maja Remškar, Andreas K. Hüttel
Instrumentation and Methods for Astrophysics
Characterization of the RF Board for microwave SQUID multiplexing readout electronics
Junbo Wang, Jianing Dong, Zhekai Cheng et al. (+1 more)
Microwave SQUID multiplexing ($\mu$MUX) is a widely used readout technique for large-scale transition-edge sensor (TES) arrays. It uses
radio-frequency (RF) probe tones to interrogate cryogenic resonators, requiring frequency conversion between the baseband electronics and the cryogenic RF signal chain. This work describes the RF Board, a room-temperature frequency-conversion board deployed in the AliCPT $\mu$MUX readout system. The board up-converts 0-4 GHz baseband I/Q signals to the 4-8 GHz RF band for injection into the cryogenic chain and down-converts returned RF signals to baseband I/Q for ADC digitization. For the current 1000-tone operation, with a DAC output tone power of -30 dBm/tone, the required power windows are -35 to -25 dBm/tone for the RF tones transmitted to the cryostat and -45 to -35 dBm/tone at the ADC input for the returned tones. The RF Board is characterized using swept single-tone measurements covering up-conversion, down-conversion, and RF loopback. Based on these measurements, the RF output power is calculated to be -31.06 to -25.53 dBm, satisfying the RF output window. Assuming a representative cryogenic-chain transmission of -40 dB, the loopback result gives an estimated returned power of -45 to -35 dBm, within the target range. These results show that the RF Board meets the wideband frequency-conversion and tone-power requirements for the $\mu$MUX readout system.
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All authors Junbo Wang, Jianing Dong, Zhekai Cheng, Xiangxiang Ren
Chemical Physics · Cross-listed from math.DS
Lumping of reaction networks: Generic and critical parameters
Justin Eilertsen, Valery G. Romanovski, Santiago Schnell et al. (+1 more)
We investigate linear lumping for parameter-dependent mass action reaction networks, distinguishing between generic and critical parameter regimes. For generic parameters – those ranging in some non-empty open subset of parameter space – we prove that exact linear lumping yields only "obvious" reductions: elimination of non-reactant species or projections along stoichiometric first integrals. This characterization extends to reaction networks with product-form kinetics, including Michaelis-Menten and Hill-type rate laws. For mass action systems we proceed to develop an algorithmic approach to identify critical parameter sets – algebraic subvarieties in parameter space where non-trivial lumpings become available. This procedure reduces the determination of lumping maps to a system of finitely many
polynomial equations. It also applies to constrained lumping scenarios (which are frequently motivated by chemical considerations). We then review and extend results about proper lumpings. Finally, we discuss lumpings of a self-replicator system, and of a two-pathway enzyme mechanism, to document the viability of our methods in relevant scenarios. Our results clarify the relationship between structural (parameter-independent) and fine-tuned (parameter-dependent) reductions, with implications for approximate lumping when system parameters lie near critical values
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All authors Justin Eilertsen, Valery G. Romanovski, Santiago Schnell, Sebastian Walcher
Computational Physics
Unit-Circle Moment Closure
Yu Su and Yao Wang
Moment closure is a central problem in reduced descriptions of
stochastic, kinetic, and
quantum dynamics, where equations for low-order observables are coupled to an unresolved hierarchy of higher-order moments. Existing closures usually impose a prescribed form on the distribution or directly truncate the hierarchy, which can become inaccurate or unstable for strongly non-Gaussian states. Here we introduce unit-circle moment closure, which recasts the problem as analytic continuation. Raw moments are mapped to bounded unit-circle moments, whose unresolved tail is reconstructed by a Takagi-Prony procedure from the effective pole structure of a mapped generating function. The resulting continuation yields stable higher-order moments without assuming a fixed distributional ansatz. Illustrative static and dynamical examples demonstrate accurate reconstruction of non-Gaussian distributions and stable
evolution of moment hierarchies. Our approach provides a general perspective for moment closure based on analytic structure rather than direct truncation.
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Quantum Physics
Kinetics of electron-phonon scattering in silicon resolved by Rydberg transitions of donors
Nils Dessmann, Aidan G. McConnell, Sergey G. Pavlov et al. (+6 more)
Rydberg states of atoms in
vacuum are now well recognized as a resource for
quantum technologies. Donors in
semiconductors also display analogous states, which have been proposed for similar applications. While they benefit from permanent locations in their host
crystals, electron-
lattice coupling leads to much shorter excited-state lifetimes than for neutral atoms in
vacuum. Here we provide a quantitative description of donor-
phonon kinetics, creating a basis for engineering donor systems in realistic material stacks for
quantum devices. Our theory incorporates both form factors for the Rydberg states, which given their large extents in real space provide strong selectivity in momentum space, and tabulated deformation potentials for all six
phonon branches throughout the Brillouin zone. By confronting this framework with carefully controlled time-resolved free electron
laser measurements, we show that the widely quoted position of the silicon conduction band minimum, $k_0$, is inconsistent with observed donor relaxation rates and that quantitative agreement is obtained for a value further from the X-point than commonly assumed. This stringent experiment-theory comparison establishes donor relaxation as a precision metrology for conduction band parameters and scattering processes in silicon, with consequences spanning from
quantum devices to classical electronics.
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All authors Nils Dessmann, Aidan G. McConnell, Sergey G. Pavlov, Guy Matmon, Gabriel Aeppli, Nikolay V. Abrosimov, Hari Paudyal, Michael E. Flatté, Benedict N. Murdin
Statistical Mechanics
Reply to Comment on "Scaling and universality at noisy quench dynamical quantum phase transitions"
S. Ansari, R. Jafari, A. Akbari et al. (+1 more)
The Comment by J. Sirker [arXiv:2511.16509] raises an important issue concerning dynamical
quantum phase transitions (DQPTs) in noisy and mixed-state dynamics, namely that the extension of the Loschmidt echo from pure to mixed states is not unique and different extensions preserve different physical properties. The Comment examines a noise-averaged mixed-state fidelity and shows that DQPTs cannot occur for any nonzero noise when the return rate is defined through the Uhlmann-Bures fidelity of the noise-averaged density
matrix. This conclusion is valid for the mixed-state fidelity observable discussed in the Comment and is consistent with prior studies [https://doi.org/10.1103/PhysRevB.109.L180303, arXiv:2504.03005]. Our article [https://doi.org/10.1103/mkll-nd46] investigated a different operationally defined quantity: the logarithm of the Loschmidt echo obtained by first determining the noise-averaged excitation probabilities generated during the noisy ramp and then performing a coherent post-ramp
evolution of a pure state constructed from these noise-averaged transition probabilities. As emphasized explicitly in our original publication, this observable is defined through an operational assumption and is not the same quantity as the mixed-state fidelity. The nonanalyticities reported in Ref. [https://doi.org/10.1103/mkll-nd46] therefore concern this two-stage operational protocol and should not be identified with zeros of the Uhlmann-Bures fidelity. There is therefore no direct contradiction between the
theorem established for the Uhlmann-Bures return rate and the conclusions obtained for the different operational protocol studied in Ref. [https://doi.org/10.1103/mkll-nd46].
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All authors S. Ansari, R. Jafari, A. Akbari, M. Abdi
Mathematical Physics
How to Untwist Twisted Gauge Fields
Serge Lazzarini, Thierry Masson and Louis Usala
This paper provides an isomorphism between the space of twisted gauge fields on a principal bundle $\mathcal{P}(M,H)$ and the space of standard gauge fields on a different principal bundle $\mathcal{Q}(M,G)$ associated to $\mathcal{P}$. This isomorphism extends to local fields on the base
manifold, which enables the use of local twisted fields in standard gauge theories (e.g. Yang-Mills-like theories). This allows one to deal with two
symmetry groups, coming from $\mathcal{P}$ and $\mathcal{Q}$, respectively. The construction makes use of a larger principal bundle $\mathcal{S}$ which has $\mathcal{P}$ and $\mathcal{Q}$ as quotient bundles. $\mathcal{S}$ is a Hilsum-Skandalis bibundle between the action groupoids $H\ltimes\mathcal{P}$ and $G\ltimes\mathcal{Q}$. The gauge structure on $\mathcal{S}$ encodes both standard and twisted gauge structures on $\mathcal{P}$. In addition, the isomorphism classes of bundles $\mathcal{S}$ up to an isomorphism covering the identity map on $\mathcal{P}$ are in 1:1 correspondence with the equivalence classes of cocycles (up to a coboundary). This paper also provides a new interpretation of (full) dressing fields as dynamic (or active) sections of a principal bundle.
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Solar and Stellar Astrophysics
Center-to-limb variations of solar active regions: Observations of spots, faculae, and network in the 6173 Å\ continuum
A.G.M. Pietrow, S. Sumra, D.J.M. Petit dit de la Roche et al. (+3 more)
Accurate modeling of
stellar active regions (ARs) remains a major bottleneck for radial-velocity and transmission-spectroscopy studies aimed at finding Earth-like
planets. While much effort has been devoted to AR modeling, their center-to-limb variations (CLV) have been largely overlooked. We take a step toward remedying this by measuring the CLV of the 6173 Å continuum intensity for sunspots (the whole spot, and separate umbrae and penumbrae), faculae, network, and the quiet Sun using the Helioseismic and
Magnetic Imager (HMI) onboard the
Solar Dynamics Observatory (SDO). This study is based on four simple round $\alpha$-sunspots and their surroundings, as well as one strongly evolving region. After correcting for stray light, we find that relative to the quiet Sun, all components except for the umbra display reduced darkening towards the limb. Additionally, strongly evolving active regions do not appear to display significantly altered CLV profiles compared to stable active regions. Faculae and network show contrast enhancements that peak near $\mu \approx 0.3$ before declining toward the limb, reaching maxima of approximately 4% and 2% respectively in contrast excess relative to the quiet Sun, while the spot-to-quiet-Sun contrast rises to approximately 15% near the limb. For both types of AR, this change in CLV behavior near the limb is likely related to the three-dimensional structure of the active regions and the rapidly changing viewing geometry. This behavior is not captured by synthetic CLVs based on PHOENIX and ATLAS model atmospheres with
solar values and a different effective temperature, underscoring the need for more realistic treatments of
stellar activity.
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All authors A.G.M. Pietrow, S. Sumra, D.J.M. Petit dit de la Roche, E. J. Lößnitz, C. Denker, M. Aßmus
High Energy Physics (Phenomenology)
Analytic two-loop electroweak corrections at high energies
Hantian Zhang
The high-energy behaviour of electroweak scattering amplitudes is of theoretical and phenomenological interest. In these proceedings, we summarize recent progress in analytic high-energy calculations for two-loop four-point electroweak amplitudes in the full Standard Model. As a representative application, we discuss the electroweak corrections to
Higgs boson pair production, where rich structures of logarithmic and power corrections appear and sizeable effects are found in the high-energy region.
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Mesoscale and Nanoscale Physics
Coherent and Incoherent Interfacial Spin Transport: Quantum-to-Classical Crossover in Spin Superfluids
A. R. Moura and L. S. L. Barbosa
We investigate the thermodynamics of interfacial
spin transport within a normal metal/
ferromagnetic insulator/normal metal ($\mathrm{NM/FMI/NM}$) trilayer
heterostructure, where the central
magnetic layer is described by the anisotropic
quantum XXZ model. By employing the self-consistent harmonic approximation (SCHA) combined with a microscopic linear response formulation, we evaluate the interfacial
spin-mixing conductance $g_{\uparrow\downarrow}$ across all
spin regimes. We demonstrate that $g_{\uparrow\downarrow}$ uniquely decomposes into a coherent condensed component ($g_{\mathrm{cond}}$), driven by the macroscopic phase of the
spin superfluid, and an incoherent fluctuation-driven term ($g_{\mathrm{fluct}}$) mediated by
stochastic thermal
magnons. Crucially, in the extreme
quantum limit of $S = 1/2$, $g_{\mathrm{cond}}$ drops steeply and vanishes at a finite coherence temperature $T_{\mathrm{coh}}$. Conversely, the fluctuation-driven term $g_{\mathrm{fluct}}$ vanishes at $T = 0$, exhibits a characteristic $T^2$ quadratic scaling at low temperatures, and undergoes a systematic $1/S$ amplitude suppression as the macroscopic magnetization becomes robust. Our microscopic insights bridge the gap between
quantum many-body fluctuations and macroscopic
spin-superfluid hydrodynamics, providing clear foundational principles for optimizing long-range coherent transport in
quantum spintronic devices.
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Instrumentation and Methods for Astrophysics
Energy estimation of cosmic rays by air shower radio signals
Fateme Latifian and Gohar Rastegarzadeh
We present a method for reconstructing the primary energy of
cosmic ray air showers using
radio emission. The approach is based on CoREAS simulations performed for both the SURA experiment and a dense reference array of
antennas. By comparing the simulated electric field intensity from the dense array with that obtained for the SURA configuration, we derive a scale factor (Ci j). This scale factor exhibits a correlation with the primary energy, decreasing as energy increases. Unlike previous approaches employed by various experiments, our technique shows limited sensitivity to the shower core location. Even for the farthest core positions allowed by the array, the scale factor remains effectively independent of the core location. We also examined the accuracy and reliability of the reconstruction method. Finally, we reconstructed the primary energy of
cosmic rays using our method with a maximum error of about 11% in our simulation tests.
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Astrophysics of Galaxies
Stellar Surface Density Modulates MgII Cool-gas Outflow Absorption in DESI Star-forming Galaxies
Yu Rong and Shihong Liu
Galaxy outflows are usually ordered by
stellar mass and
star-formation rate (SFR), but the same feedback budget may couple differently to gas in diffuse and compact
galaxies. We use Dark Energy Spectroscopic Instrument (DESI) Data Release 1 stacked spectra of massive
star-forming
galaxies at $0.35<z<1.0$ to test whether
stellar surface density, $\Sigma_\star=M_\star/(2\pi R_e^2)$, is an independent empirical coordinate of down-the-barrel singly ionized magnesium (MgII) cool-gas absorption. In AGN-clean samples matched in
stellar mass, and in a stricter sample matched in both
stellar mass and a Balmer-line SFR proxy, the MgII
outflow equivalent width (EW) rises monotonically with $\Sigma_\star$ in every
redshift bin. From the lowest to highest $\Sigma_\star$ tertile, EW increases by 0.37-0.61 Angstrom, while the absolute
outflow velocity changes only weakly. DESI therefore shows that cool-gas
outflow strength in massive
star-forming
galaxies is not set only by how much
stellar mass or
star formation a
galaxy has, but also by how tightly the
galaxy is built. The structural dependence points to changes in the absorbing velocity distribution and/or the effective covering fraction of cool outflowing gas.
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Physics Education
Testing the Validity of Embedding-Based Similarity and Clustering for Handwritten Physics Solutions
Maike Tauschhuber and Gerd Kortemeyer
Text
embeddings are increasingly used in physics education research to organize, compare, and cluster large collections of written text. Their appeal is clear: once student responses have been mapped into a vector space, similarity comparisons and clustering become computationally inexpensive. However, in assessment contexts, the relevant question is not merely whether clusters can be produced, but whether the geometry of the
embedding space preserves grading-relevant distinctions. We tested this premise using 992 handwritten student-problem solutions from a high-stakes engineering thermodynamics exam, transcribed into five textual representations and embedded using nine
embedding mechanisms. We compared
embedding similarity and
embedding-based hierarchical clusters against human-assigned scores. Across models, representations, and clustering choices,
embedding similarity showed a consistent but modest relationship to score similarity, and the resulting clusters were score-enriched but not score-equivalent. Experiments with a synthetic data set suggest that this may be due to
embeddings behaving like novices when categorizing physics-problem solutions, that is, their similarity geometry is strongly influenced by surface features rather than conceptual, semantic structure. These findings suggest that state-of-the-art
embeddings can support exploratory organization and human-in-the-loop review of physics solutions, but they do not provide an unsupervised basis for grading without external validation against the assessment construct of interest.
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Computational Physics · Cross-listed from stat.ML
A Bayesian latent Gaussian process framework for aerodynamic uncertainty quantification
Geoffrey Davis and Ashwin Renganathan
Predicting the aerodynamic performance (e.g. lift, drag, and moment coefficients) of an aircraft is challenging – computational models are biased and direct simulations are prohibitive. A pragmatic way to overcome this limitation is by calibrating low-fidelity computational predictions with experimental measurements. This, however, requires calibrating against sparse measurements contaminated with uncertainty in both the control inputs and the measured aerodynamic response. We develop a methodology to address this problem based on Gaussian process surrogates and the classical Kennedy-O'Hagan calibration. A surrogate model learned on abundant-but-cheap low-fidelity data is calibrated with a sparse set of measurement data. Crucialy, we develop a
Bayesian latent Gaussian process based approach that marginalizes the calibrated surrogate model over the input uncertainty, while also matching the marginal mean and variance of the measured output uncertainty. Once calibrated, our surrogate model predicts the uncertainty in aerodynamic coefficients with very high accuracy, including at extrapolative input settings. We validate our calibrated surrogate model predictions against measurement data with true uncertainty intervals to demonstrate that the model places $94.2-95.8\%$ of its predictive samples inside the released $95\%$ truth intervals, with endpoint cumulative probabilities very close to the nominal 0.025 and 0.975 levels.
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Mathematical Physics
Metric Congruence in Finite-Dimensional Non-Hermitian Quantum Mechanics
Ramirez Romina and Reboiro Marta
We study metric representations in finite-dimensional non-Hermitian
quantum mechanics. The main purpose of this work is to emphasize that the physical description of a non-Hermitian system may be formulated in different, but isomorphic,
Hilbert spaces. In particular, within the Krein-space formalism, we show that the vector space endowed with an indefinite Krein metric can be explicitly related to the standard
Hilbert space through a suitable isomorphism. This observation is essential for a consistent description of non-Hermitian
Hamiltonians. Physical states, metrics, and operators must be transported through the corresponding
Hilbert-space isomorphism. In this way, equivalent representations of the same system can be used without changing the physical content of the theory. We illustrate these theoretical aspects by studying a two-level non-Hermitian
spin model. We use the Robertson uncertainty relation as a consistency test. Apparent violations can arise when operators and states are kept fixed while the metric is changed, and therefore reflect a mismatch of representations rather than a failure of the uncertainty principle.
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Quantum Physics
Quantum Variational Approaches to the Maximum Independent Set Problem at Utility Scale
Kalyan Dasgupta, Sumanta Mukherjee, Dhriti Verma et al. (+4 more)
Near-optimal solutions to Maximum Independent Set on dense graphs sit in local optima that greedy correction and maximality extension cannot escape. We encode near-optimal seeds as a uniform
quantum superposition on ancilla
qubits and evolve them under an excitation-preserving variational ansatz that holds the search inside the feasible Hamming-weight subspace. A preprocessing stage of spectral reordering and distance-based sparsification, together with history-guided post-processing of the sampled bitstrings, takes the method to 200 nodes. The ansatz entangles the seed branches and the bond dimension of the simulated state grows with
circuit depth, which places deeper
circuits outside the reach of exact
matrix product state simulation at the bond dimensions available to us. Larger instances therefore need
quantum hardware. Measured on the data register alone, the superposition behaves as a classical mixture over the seeds, so coherence between the branches has to be created and then looked for. We do this with a CRZ phase layer and post-selection on the ancilla
qubits, which brings the branches into interference and exposes the cross terms. The idea is to see if interference between near-optimal seeds widens the range of independent sets the
circuit returns. Standard VQE with this pipeline recovers the certified optimum for instances up to 125 nodes, and these run on ibm_marrakesh with parameters transferred from noiseless simulation. The ancilla construction is introduced for the sizes past that point. On a 180-node hard instance the superposition recovers the certified MIS. Five 200-node instances are solved to the certified optimum, and on the 400-node brock400-1
benchmark the method reaches size 25 against a certified optimum of 27. These are the largest hard general-graph instances we know of where a gate-based variational
algorithm optimises the full
circuit directly.
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All authors Kalyan Dasgupta, Sumanta Mukherjee, Dhriti Verma, Surya Shravan Kumar Sajja, Abhishek Singh, Dzung Phan, Jayant Kalagnanam
High Energy Physics (Theory)
Axions on de Sitter space
Vasileios A. Letsios and Stathis Vitouladitis
We study a massless minimally coupled compact scalar, or
axion, on global $D$-dimensional de Sitter space (dS$_D$). We quantise the theory canonically, determine the
quantum dS charges, and find that the
axion zero mode supplies a
quantum-mechanical factor beyond the oscillator Fock space, $\mathcal{F}$. The full
Hilbert space is $\mathcal{H}=L^2(S^1)\otimes\mathcal{F}$, with the integer
quantum-mechanical momentum on $L^2(S^1)$ identified with the conserved $\mathrm{U}(1)$ shift charge. The 1-particle
unitary irreducible representation (UIR) of the dS group, $\mathrm{SO}(D,1)$, captures the oscillator sector, but misses the zero mode. We find that the neutral 0-particle state is dS-invariant and normalisable. Charged 0-particle states are normalisable, but only $\mathrm{SO}(D)$ invariant. This implies that geodesic observers related by dS boosts do not agree on the particle number in a charged sector, an effect absent in QFTs equipped only with the standard Bunch-Davies
vacuum. We compute field-strength Wightman 2-point functions in charged sectors and find that they are Hadamard. For non-zero charge they are not dS-invariant at finite global times, but they are asymptotically so at early and late times. We complement this analysis with a Euclidean perspective. The ordinary $D$-sphere path integral, $Z_{S^D}$, written in terms of Harish-Chandra characters, has access only to the neutral sector. Charged sectors require vertex-operator insertions, and summing over them gives a decorated sphere path integral, $\widehat{Z}_{S^D}=Z_\text{QM}\,Z_{S^D}$, that captures the entire
Hilbert space, with $Z_\text{QM}$ denoting the partition function of a
quantum rotor at a dimension-dependent effective temperature. Finally, in dS$_3$, we use the duality between an
axion and a
photon to translate our results to electromagnetism, where the
axion zero mode gives rise to
magnetic monopoles.
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Strongly Correlated Electrons
Nonequilibrium electron-phonon dynamics with high momentum resolution: Thermalization bottlenecks and the effects of phonon dispersion
Maksymilian Środa and Philipp Werner
The nonequilibrium interplay of electrons and
phonons plays an important role in the thermalization of solids, yet the microscopic picture of transient states and relaxation pathways remains incomplete. Previous nonequilibrium Green's function (NEGF) studies with full two-time dependence were restricted to local
phonons and local self-energy approximations, leaving momentum-dependent
phonon dynamics largely unexplored. Here, we demonstrate the recently developed quantics-tensor-train (QTT) NEGF framework via large-scale
lattice simulations of models with arbitrary
phonon dispersions. QTTs provide a
memory-efficient representation of full two-time Green's functions, enabling momentum-resolved simulations with full electron-
phonon feedback on
lattices up to 256x256 sites. Comparing optical and acoustic
phonon models, we reveal a hierarchy of relaxation bottlenecks that extends the well-known
phonon-window bottleneck effect. For optical
phonons, we confirm the main
phonon-energy window and uncover an additional reduced window separating momentum-space regions with excess and deficit electronic population. We also identify a separate
phonon-thermalization bottleneck rooted in momentum-dependent coupling to the particle-hole continuum. High momentum and frequency resolution makes the
phonon–charge correspondence directly visible. For acoustic
phonons, the
phonon-energy window acquires pronounced momentum dependence dictated by energy and momentum conservation. The reduced window becomes asymmetric, and directional scattering between Brillouin-zone regions produces a persistent bottleneck for low-momentum
phonon modes. Our results establish diagrammatic QTT-NEGF simulations as a scalable framework for quantitative nonequilibrium electron-
phonon dynamics, overcoming previous
lattice-size and propagation-time limitations and providing accurate reference data for time-resolved spectroscopies.
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Cosmology and Nongalactic Astrophysics
Cosmological structure growth in energy-momentum squared gravity
Alvaro de la Cruz-Dombriz, Peter K. S. Dunsby and Payel Sarkar
We investigate the cosmological
evolution of matter perturbations in the modified
gravity model $f(R,T^2)$, where $T^2=T_{\mu\nu}T^{\mu\nu}$ denotes the quadratic contraction of the energy–momentum tensor. Using the gauge-invariant 1+3 covariant formalism, we study the
evolution of the matter density contrast and analyze several growth observables, including the growth factor, the growth index, and the weighted growth rate $f\sigma_8$. We consider representative values $n=1/2$ and $n=1/4$, which probe different regimes of the matter–geometry coupling. We show that the growth index decreases with increasing
redshift and approaches the standard matter-dominated behavior at early times, while mild scale-dependent deviations from the $\Lambda$CDM model emerge at late times. The model predicts small departures from General Relativity for $n=1/4$, whereas stronger deviations appear for $n=1/2$ and larger values of the coupling parameter $\alpha$. We further compare the theoretical predictions for $f\sigma_8$ with current observational data and find that viable parameter choices remain within the observational $\pm2\sigma$ bounds. These results indicate that $f(R,T^2)$
gravity can provide a viable description of late-time
cosmic acceleration and large-scale structure formation while remaining consistent with current growth observations.
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History and Philosophy of Physics
The unreasonable effectiveness of the cathetus rule in ancient and modern optics
Gavin R. Putland
The "cathetus rule" in optics alleges that the image of an object-point, formed by reflection or refraction at a surface, lies on the perpendicular ("cathetus") from the object-point to or through the surface. The first known statement of the rule, attributed to Euclid, was for a plane or spherical mirror. The rule was extended to refraction by Ptolemy.... Kepler was universally credited with the first disproof-and-salvage of the cathetus rule until 2018, when Benedetti's priority was exposed by Goulding. Kepler notwithstanding, the rule was reaffirmed by Tacquet for plane and spherical mirrors, except for the case in which the rays converge toward a point behind the eye; this became known as the "Barrovian case" because it troubled Barrow, in spite of his modern concept of an image. Barrow demolished the cathetus rule for the tangential image except in the paraxial limit, and Newton salvaged it for the sagittal image. The rule then seems to fade from history. But the rule is equivalent to the assumption that the image is stigmatic and the cathetus well defined. This narrow assumption is approximately true in the first-order (paraxial, "Gaussian") analysis of lenses and mirrors; and unacknowledged applications of the ancient rule can indeed be discerned in modern expositions of that subject. Moreover, the validity of the rule for the sagittal image fills a critical gap in meridional ray-tracing through spherical surfaces: by tracing the chief ray from an off-axis object-point, then applying the cathetus rule to the successive surfaces, one can locate successive sagittal image-points on the chief ray (produced rectilinearly through surfaces as necessary), and hence assess astigmatism to leading order, without tracing any rays outside the meridional plane.
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Mesoscale and Nanoscale Physics
Interplay of Electrode Coupling Engineering, Quasiperiodicity, and Magnetic Flux in Quantum Transport through a Su-Schrieffer-Heeger Ring
Sridhar, Souvik Roy and Malay Bandyopadhyay
We reveal that engineering electrode-coupling configurations can fundamentally reshape coherent transport phenomena in quasiperiodic
quantum systems. Leveraging nonequilibrium Green's function theory, we systematically analyze charge and heat transport, as well as current fluctuations, in a
magnetic-flux-threaded quasiperiodic Su-Schrieffer-Heeger ring with both symmetric and asymmetric multi-site reservoir couplings. Contrary to the conventional expectation that optimal transport is achieved near the homogeneous-hopping limit, our results reveal that multi-site lead coupling fundamentally reshapes the transport landscape, extending the regime of enhanced transport deep into the topological phase. Strikingly, asymmetric source-drain coupling induces a disorder-assisted conducting phase where quasiperiodic modulation enhances, rather than suppresses, charge and energy transport.
Magnetic flux exerts a dual influence: it activates additional interference-mediated transmission channels that amplify transport while simultaneously suppressing the disorder-induced re-entrant conducting regime. Furthermore, we uncover a flux-driven migration of the optimal transport window with increasing disorder strength, shifting from the topological regime toward the trivial-hopping regime. This behavior highlights the intricate interplay among quasiperiodicity, dimerization,
magnetic-flux-induced
quantum interference, and the geometry of the system-reservoir coupling. Collectively, our findings position coupling engineering as a powerful paradigm for the rational control of nonequilibrium transport in quasiperiodic materials and chart a route toward
quantum device configurations in which transport characteristics can be precisely tuned via the interplay of disorder,
topology, and
quantum interference.
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Biological Physics
Classical Coherence and Biological Aging
Yehuda Roth
In previous work it was argued that the
cells of a multicellular organism form a classically coherent system and that such coherence is essential for life. Here we make this claim precise by introducing an explicit classical formalism in which a many-
cell system is represented by a single state vector in an abstract DNA code space. Using Dirac's bra-ket notation purely as a compact representation of classical states, we construct an analogue of the center-of-mass coordinate that encodes the organismal identity and show how a common genetic code shared by all
cells corresponds to a coherent phase in this space. We then map this structure onto DNA sequence space by introducing a classical Biological
Hamiltonian whose generalized coordinates encode DNA codes and their
cell-wise distribution, so that the organismal identity is represented by a global code state rather than by individual molecular constituents. Within this framework we define a time-dependent maintenance operator with code-correcting and code-breaking terms, weighted by coefficients $A(t)$ and $B(t)$, which captures the balance between restorative dynamics and environment-induced damage to the code. Aging is described as a slow drift in these control parameters: as $A(t)$ decreases and $B(t)$ increases, the identity state becomes less stable and the organism moves from robust code coherence to
stochastic code variability. In this picture, death appears as a transition in which the global identity state can no longer be maintained.
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Strongly Correlated Electrons
Survival of the metallic state in a single-hole multiband $p$-orbital molecular system
Keisuke Matsui, Ryan A. Klein, Naoya Yoshikane et al. (+14 more)
Strong correlations and
ferromagnetic Hund's coupling lead to diverse electronic phenomena in transition-metal
oxides that sensitively depend on the $d$-orbital electron filling. Fullerides, their $p$-electron counterparts, exhibit effective
antiferromagnetic Hund's coupling in a different energy range. At half-filling ($n=3$, three electrons in triply degenerate orbitals), both $d-$ and $p$-electron systems are Mott
insulators due to strong correlations and Hund's coupling. Away from half-filling, in single-electron/hole ($n=1,5$) $d$-orbital systems, Hund's coupling opposes the correlations, reducing the Mott gap and allowing survival of
metallicity. Here we report a single-hole multiorbital correlated $p$-electron system, orthorhombic-structured Yb$_2$CsC$_{60}$ comprising pentavalent C$_{60}^{5-}$ anions, which also exhibits a robust metallic state with no Mott transition, just like in the metastable single-electron cubic-structured CsC$_{60}$. We assert that particle-hole
symmetry holds well in ($n=1,5$) fullerides and that their $p$-electron-derived states are analogous to those in $d$-orbital solids, providing impetus for further study of these correlated systems.
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All authors Keisuke Matsui, Ryan A. Klein, Naoya Yoshikane, John Arvanitidis, Matjaž Gomilšek, Urh Klopčič, Shogo Kawaguchi, Hitoshi Yamaoka, Nozomu Hiraoka, Hirofumi Ishii, Qiang Zhang, Shigeo Mori, Hiroki Ishibashi, Yoshiki Kubota, Craig M. Brown, Denis Arčon, Kosmas Prassides
Instrumentation and Methods for Astrophysics
TOA_SP: A Multi-Strategy Framework for Single-Pulse Timing
Songbo Zhang and Xuan Yang
Precision
pulsar timing typically relies on the stability of average pulse profiles, enabling time-of-arrival (TOA) estimation through template cross-correlation. This assumption breaks down for highly variable
radio sources such as Rotating
Radio Transients (RRATs) and fast
radio bursts (FRBs), where individual pulses could exhibit strong variability in morphology and amplitude, and no single averaged profile may represent the underlying emission process. We present toa_sp, an open-source Python package for extracting TOAs directly from PSRFITS search-mode data without requiring profile folding into a stable template. The framework implements a suite of complementary single-pulse timing strategies, including parametric profile fitting, non-parametric
estimators, and adaptive sub-band and time-resolution optimisation, together with empirical diagnostics for assessing model consistency. We apply toa_sp to 688 single pulses from a 3-hour FAST observation of RRAT~J1913+1330. The resulting TOAs residual achieve a weighted RMS residual of 1.33\,ms, a 24% improvement over a standard template-based PSRCHIVE pipeline, while retaining all pulses without statistical outlier rejection. A set of bright FRB 20220529 bursts provides a controlled test of the framework across regimes of increasing pulse complexity, revealing frequency-dependent substructure not captured by band-integrated profiles. We introduce an empirical convergence diagnostic that identifies well-constrained pulses and guides the transition between parametric and non-parametric regimes. Full multi-strategy processing of 688 pulses requires approximately 7.6\,s per pulse on a 10-thread CPU. The package is publicly available via pip install toa_sp.
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Mathematical Physics
The BEG model at the FAD triple point on the square lattice
Estevão F. Borel, Aldo Procacci, Rémy Sanchis et al. (+1 more)
In this note, we prove that the two-dimensional Blume-Emery-Griffiths model at the triple point
Ferromagnetic-Antiquadrupolar-Disordered (FAD) has a unique Gibbs measure at any temperature, thereby establishing the absence of phase transitions. The FAD point lies at the intersection of lines separating three regions of the phase diagram, and it is a singular point where the model exhibits infinitely many ground states. Our proof is based on a random-cluster type representation with configuration-dependent cluster weights and a coupling with Bernoulli site percolation with parameter $1/2$.
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All authors Estevão F. Borel, Aldo Procacci, Rémy Sanchis, Benedetto Scoppola
Mesoscale and Nanoscale Physics
Topological phase and its effective tuning in a ladder lattice
Qi-Bo Zeng
We study a two-leg ladder model consists of a one-dimensional (1D) Su-Schrieffer-Heeger (SSH)
lattice with staggered nearest-neighboring hopping amplitudes and a normal 1D tight-binding
lattice with uniform hopping. By varying the strength of inter-leg coupling, we find that topologically nontrivial phase with zero-energy edge modes will emerge, even when the SSH leg is in the trivial regime. Compared with the single SSH model, the nontrivial region in the parameter space is significantly expanded in the ladder. The topological phase is characterized by quantized Berry phase, and the phase boundaries are determined analytically. We also analyze the distributions of topological zero modes in the ladder, and find that the nontrivial regime can be further divided into two regions, which are separated by a gap closing point in the energy spectrum and correspond to the cases with edge modes residing in different legs. These results indicate that the topological phase and edge modes can be effectively tuned through the manipulations in the trivial
lattice. Our work unveils the emergence of nontrivial
topology in the ladder
lattices and provides a new platform for studying topological phases.
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High Energy Physics (Theory)
CFT Dual for Timelike Geodesic in Lorentzian dS
Xing Huang and Chen-Te Ma
We construct the Euclidean CFT$_{d}$ dual of a generic massive scalar in Lorentzian dS$_{d+1}$ via analytic continuation. The resulting $PT$ defect defines a $PT$-invariant state that reproduces the Bunch-Davies Wightman function. However, the
entanglement entropy captures only the real part of the central charge. This motivates a single-geodesic dual based on the timelike geodesic-integrated Wightman function, which yields the correlators between a bulk operator and a linear combination of an OPE block and its Casimir partner. We also derive the associated conformal defect and anomaly from an integral identity of the dS/CFT
symmetry group.
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Mesoscale and Nanoscale Physics
Inter-band coherence effects in disordered crystals: beyond the non-crossing approximation
Zhanning Wang, James H. Cullen, Roberto Raimondi et al. (+1 more)
We develop a
quantum kinetic theory for Bloch electrons driven by a uniform dc electric field, extending the nonequilibrium density-
matrix formalism beyond the non-crossing approximation. This extension is required to capture steady-state terms that are nominally zeroth order in disorder strength and compete with intrinsic band-
geometric responses, as in anomalous
Hall and related
spin, orbital, and valley transport. Working in the length gauge with Gaussian white-noise disorder, we include
impurity scattering to fourth order in the disorder potential. An iterative solution for the
impurity-induced density-
matrix fluctuations yields a connected $V^4$ collision integral after subtracting disconnected
impurity pairings, thereby avoiding double counting. The resulting terms separate into self-energy corrections, ladder-type vertex renormalization, and crossed
quantum-interference contributions. We clarify the correspondence between this density-
matrix kinetic equation and the Keldysh formalism, and decompose the response into
Fermi-surface and
Fermi-sea components. As an application, we study the two-dimensional massive Dirac
fermion model. We obtain analytical expressions for the single-particle lifetime, transport relaxation time, and longitudinal conductivity at the Born level, and then evaluate the anomalous
Hall conductivity including crossed
impurity processes. These processes generate an extrinsic contribution of order $\tau^0$ that coexists with the intrinsic Berry-
curvature term; for Gaussian white-noise disorder in this model, the $\Psi$-type contribution cancels while the $X$-type term remains finite. The formalism provides a consistent route for incorporating band geometry and crossed-disorder corrections into multiband transport, with applications to
spin, pseudospin, orbital, and valley phenomena.
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All authors Zhanning Wang, James H. Cullen, Roberto Raimondi, Dimitrie Culcer
Superconductivity
Hydrostatic pressure effect on the pseudogap in Y0.77Pr0.23Ba2Cu3O7-\delta single crystals
A. L. Solovjov, L. V. Bludova, A. S. Kolesnik et al. (+6 more)
We studied the changes of resistivity $\rho(T)$, superconducting transition temperature $T_c$, fluctuation conductivity $\sigma'(T)$, and pseudogap $\Delta^*(T)$ of $Y_{1-x}Pr_xBa_2Cu_3O_{7-\delta}$ (YPrBCO) ($x = 0.23$) single
crystal under hydrostatic pressure (HP) up to $\sim 1.1$ GPa. Defects created by
magnetic inclusions of $PrBa_2Cu_3O_{7-\delta}$ (PrBCO) were found to play a significant role in the behavior of the sample. The largest decrease in $\rho(T)$ was found depending on HP at a rate of $d\ln\rho(100~K)/dP = -(29 \pm 0.2) \% \cdot GPa^{-1}$. This indicates that the mechanisms of the influence of HP on the $\rho(T)$ and $T_c$ of YPrBCO and $YBa_2Cu_3O_{7-\delta}$ single
crystals are different. From the analysis of the pseudogap, it was revealed that the mechanism of the interaction of charge carriers with
magnetic PrBCO
impurities changes three times with increasing HP. Relatively low HP, up to $\sim 0.5$ GPa, promotes the formation of defects caused by PrBCO
magnetic inclusions. Starting from 0.6 GPa, the HP neutralizes the influence of
magnetic impurities, and the
magnetic maximum on $\Delta^*(T)$ disappears. Above $\sim 1.0$ GPa, HP aligns the
magnetic moments of PrBCO, and the
magnetic maximum reappears on $\Delta^*(T)$, more pronounced than at $P = 0$.
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All authors A. L. Solovjov, L. V. Bludova, A. S. Kolesnik, E. V. Petrenko, M. V. Shytov, A. Sedda, E. Lähderanta, D. Sergeyev, R. V. Vovk