Soft Condensed Matter
Beyond Dry Flocking: Shape-Dependent Hydrodynamic Alignment
Abhishek Thakur, Taniya Khatun, Soumyadeep Kundu et al. (+3 more)
Flocking results from dynamical
alignment among neighbors in a collection of active self-propelling objects. The intervening medium, typically a fluid, however, is not considered to be important for
alignment, except for acting as a momentum sink. The flocking system is therefore described as momentum nonconserving "dry" active matter. Here we investigate a confined system of self-propelled Marangoni swimmers where feedback from the fluid medium, which crucially depends on the shape of the swimmers, influences their
alignment. Using up to thirty partially camphor-coated triangular paper boats as polar swimmers, we uncover a disorder-to-order transition, and an unusual re-entrant order-to-disorder transition, as functions of camphor concentration and swimmer density, respectively. We reproduce these transitions by formulating a reaction-
diffusion model for the camphor field, coupled to the swimmer dynamics, where propulsion forces arise from surface tension gradients. The shape-dependent hydrodynamic interaction discussed here could be central to efficient flocking in living organisms too.
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All authors Abhishek Thakur, Taniya Khatun, Soumyadeep Kundu, Nitin Kumar, P. Parmananda, Anirban Sain
Strongly Correlated Electrons
Symmetric Mode Ansatz: Theory of Magnon Collective Modes in Chern Insulators
Miguel Gonçalves, Jonah Herzog-Arbeitman, Juan Felipe Mendez-Valderrama et al. (+3 more)
Moiré materials host integer and fractional Chern
insulators (FCIs) where time-reversal is broken spontaneously by flat band ferromagnetism. In twisted MoTe2, unlike in
quantum Hall, opposite
spins carry opposite Chern numbers and realize Ising ferromagnetism with gapped
magnon excitations. Clarifying the nature of these collective modes and the origin of the
magnon gap is key to understanding the stability of the Chern magnets in these materials. To do so, we develop a generalized single-mode approximation, which we call the symmetric mode ansatz (SyMA), to describe the low-energy
magnon spectrum. We find it to be in exceptional agreement with numerical calculations at integer filling, and qualitatively accurate across fractional fillings including FCIs. To explain the accuracy of the SyMA, we present two families of Hubbard models (including the Haldane model and continuum ideal bands) whose collective modes are analytically solvable and for which the SyMA is either exact or an accurate approximation. For a class of these models where SyMA is exact, we prove two-sided bounds on the zero-momentum
magnon gap in terms of the Chern number, Berry
curvature, and
quantum metric, revealing that uniform
quantum geometry is sufficient for stabilizing magnetism in Chern bands.
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All authors Miguel Gonçalves, Jonah Herzog-Arbeitman, Juan Felipe Mendez-Valderrama, Andreas Feuerpfeil, B. Andrei Bernevig, Nicolas Regnault
Mesoscale and Nanoscale Physics
Millisecond phonon lifetimes in piezoelectric nanomechanical resonators
Oliver A. Hitchcock, Matthew P. Maksymowych, Kaveh Pezeshki et al. (+5 more)
Piezoelectric nanomechanical resonators operating at gigahertz frequencies are a promising platform for
quantum information processing and precision sensing, but
phonon lifetimes have been limited to the microsecond range, widely attributed to the higher intrinsic loss of piezoelectric materials. Here we show that this limitation is not fundamental. Using a fabrication process informed by recent studies of defect-mediated loss in lithium niobate, we combine chemical restoration of ion-milled surfaces with a shadow-mask metallization process to produce lithium niobate phononic
crystal resonators with inferred internal
phonon lifetimes of up to 21 milliseconds at 3.6 gigahertz, corresponding to quality factors exceeding $4\times10^8$ ($f\cdot Q_i > 10^{18}$) at millikelvin temperatures. By systematically varying the electrode-to-resonator spacing, we demonstrate that the measured lifetime is set by external coupling between the device and the measurement
circuit rather than material loss. This establishes that lithium niobate, once fabrication-induced surface damage is removed, achieves an intrinsic quality comparable to the best mechanical materials while remaining an intrinsically piezoelectric platform with strong electromechanical coupling.
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All authors Oliver A. Hitchcock, Matthew P. Maksymowych, Kaveh Pezeshki, Takuma Makihara, Erik Szakiel, Chou-Wei Kiang, Daniel Rugar, Amir H. Safavi-Naeini
Statistical Mechanics · Cross-listed from quant-ph
On linearity or non-linearity in machine learning for quantum chaotic dynamics
Francesco Perciavalle, Agostino Gallo, Francesco Plastina et al. (+3 more)
Accurately simulating chaotic
quantum many-body dynamics remains a major computational challenge for classical methods, due to the rapid buildup and spatial spreading of
entanglement during the
evolution. This raises the question of whether machine learning can provide an effective alternative for predicting
quantum dynamics. We address this question by formulating
quantum dynamics as a time-series forecasting problem, using a few-
qubit PXP chain, realizable with Rydberg-atom arrays, as a
benchmark. By varying the initial state, the system spans dynamical regimes ranging from ergodic behavior to
quantum many-body scarring, providing a controlled setting for testing forecasting models across qualitatively different dynamics. We compare two contrasting architectures: an expressive nonlinear
Transformer and DLinear, a simple linear forecasting model. The
Transformer accurately predicts dynamics in the more ergodic regime, but its performance progressively deteriorates as the initial state approaches the scarred limit. In contrast, DLinear remains accurate across the entire family of initial states, with its main deviations consisting of small high-frequency oscillations that have little effect on the overall prediction error. Remarkably, these results show that observables generated by complex
quantum many-body dynamics can be forecast with high accuracy through a simple linear mapping from past to future observations. This reveals that the complexity of the underlying
quantum evolution need not translate into an equally complex forecasting problem.
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All authors Francesco Perciavalle, Agostino Gallo, Francesco Plastina, Gianluigi Greco, Nicola Lo Gullo, Carlo Adornetto
Strongly Correlated Electrons
Anthony Rey, Ömer M. Aksoy, Claudio Chamon et al. (+2 more)
We investigate how spontaneous
symmetry breaking and
symmetry-protected
topology compete and cooperate in one-dimensional
quantum spin-1/2 systems. We introduce two families of local
Hamiltonians with $\mathbb{Z}^{\,}_{2}\times\mathbb{Z}^{\,}_{2}\times\mathbb{Z}^{T}_{2}$
symmetry which host a zoo of broken-
symmetry phases with and without gapless boundary
spins, namely, six long-range-ordered gapped phases that differ by their $\mathbb{Z}^{\,}_{2}$-
symmetry-breaking patterns (FM$^{\,}_{x,y,z}$ and Neel$^{\,}_{x,y,z}$), their partner
symmetry-protected topological phases (FM$^{\mathrm{SPT}}_{x,y}$ and Neel$^{\mathrm{SPT}}_{x,y}$), and two gapless phases (gFM$^{\,}_{z}$ and gNeel$^{\,}_{z}$) with incommensurate $\mathbb{Z}^{T}_{2}$-breaking
magnetic long-range order and central charge $\mathsf{c}=1$. Direct transitions between competing gapped phases can be continuous or weakly first order. We demonstrate that continuous phase transition lines have exotic critical properties. For example, a line of deconfined
quantum critical points (between the Neel$^{\,}_{x}$ and Neel$^{\,}_{y}$ phases) described by Tomonaga-Luttinger
liquid theory is terminated by the gFM$^{\,}_{z}$ phase at a Lifshitz tricritical point which exhibits spontaneous breaking of the continuous U(1)
symmetry despite the locality and one-dimensionality of the
Hamiltonian, contrary to a naive expectation from the Hohenberg-Mermin-Wagner-Coleman
theorem. Furthermore, critical lines between
symmetry-protected topological phases with different $\mathbb{Z}^{\,}_{2}$-
symmetry breaking (e.g., Neel$^{\mathrm{SPT}}_{x}$ and Neel$^{\mathrm{SPT}}_{y}$) additionally retain low-energy boundary degrees of freedom, realizing
symmetry-enriched criticality (or a gapless SPT phase). Our results reveal unconventional mechanisms by which competing
symmetry breaking and
topology generate ordered critical phases and multicriticality.
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All authors Anthony Rey, Ömer M. Aksoy, Claudio Chamon, Akira Furusaki, Christopher Mudry
Statistical Mechanics · Cross-listed from quant-ph
Quantum non-Markovian response spectra
Aaron Sander, John F. Kam, Gauthameshwar S. et al. (+2 more)
Quantum systems are rarely isolated from their surroundings. These hidden environments can retain information and return it later, producing correlated errors in
quantum computers and complicating the interpretation of experiments. On a
quantum processor, for example, one job can therefore leave an environmental trace that affects the next, even after the
qubits themselves have been reset. Learning how this hidden influence persists and affects later behavior is therefore important, but the environment is often impossible to measure directly, and fully reconstructing its effects through
tomography rapidly becomes impractical. Here, we introduce a response
matrix that uses controlled interventions and observations of the system alone to reveal the temporal structure of environmental
memory. The
matrix records how future observations change across different controlled histories. Its spectrum characterizes how
memory is structured and how it persists under specified system resets, while suitable linear combinations of its entries can rule out specified classical models of that
memory. Because its history-future queries can be evaluated independently, numerical response
matrices can be assembled in parallel. We establish the framework theoretically, characterize response spectra in an interacting
spin process, and certify
quantum memory in a two-
qubit benchmark. This approach turns system observations into a probe of inaccessible environments and could support the diagnosis of correlated noise, tests of open system models, and
memory-aware control design.
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All authors Aaron Sander, John F. Kam, Gauthameshwar S., Robert Wille, Kavan Modi
Strongly Correlated Electrons
Spin Chain with Continuous Exponential Symmetry: Topological Phase and Beyond
Biao Lian and Zhen Bi
We study symmetric gapped ground states of one-dimensional
spin $S$ chains with a continuous exponential
symmetry $U(1)\rtimes\mathbb Z_2$ with integer base $q$, where the U(1) charge has a modulated unit of charge $q^{L-j}$ decaying exponentially with site $j$. The simplest model is a
quantum breakdown model that can be viewed as a $q$-deformation of the XXZ Haldane
spin chain. We show that the
topology of their symmetric ground states crucially depends on $S$ and $q$. For integer $S$, odd $q$ allows a nontrivial $\mathbb Z_2$ Haldane-type
symmetry-protected topological (SPT) phase with protected edge modes, while even $q$ allows no nontrivial SPT phase. For half-odd integer $S$, odd $q$ prohibits any unique symmetric gapped ground state due to a Lieb-Schultz-Mattis obstruction, whereas even $q$ enforces a novel symmetric gapped phase which we name as the “half-SPT" phase. Unconventionally, the half-SPT phase only has a
symmetry protected edge mode on one edge, and has half of the string orders of an SPT phase. Our results uncover a new type of
symmetry-protected gapped phases beyond existing classification schemes.
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Strongly Correlated Electrons
SC$^\sharp$: superconductivity intertwined with topological order
Zhi-Qiang Gao, Yan-Qi Wang, Hui Yang et al. (+2 more)
Superconductivity and intrinsic topological order can intertwine in ways that go beyond simple coexistence. Here we develop a classification framework for (2+1)D gapped
superconductors with condensate charge $2ne$. By focusing on the topological properties of superconducting
vortices, we precisely characterize this interplay. We obtain a classification with increasing levels of intertwinement, from the well known invertible
superconductors without topological order, to untwisted and twisted SC$^\ast$, and finally to SC$^{\sharp}$. Our main finding is the family SC$^{\sharp}$, in which the elementary
vortex carrying $h/(2ne)$ flux cannot be factorized into an invertible
superconductor vortex dressed by bulk anyons, and every elementary
vortex is necessarily non-Abelian. For such phases, we also obtain no-go results: the elementary
vortex sector has
quantum dimension at least $\sqrt{6}$ and cannot satisfy Fibonacci fusion rules. We develop a systematic algebraic framework to obtain all these superconducting phases through anyon condensation, allowing us to construct several infinite families of examples and make connections to anyon superconductivity. Finally, we introduce primitive SC$^\sharp$ phases for which factorization of every nontrivial
vortex sector is obstructed, and argue that they cannot arise by disordering the relative phases of lower-charge superconducting condensates. Our classification scheme based on
vortex properties allows us to uncover new distinctions between topologically ordered
superconductors and constrain how they can be realized.
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All authors Zhi-Qiang Gao, Yan-Qi Wang, Hui Yang, Zhaoyu Han, Ashvin Vishwanath
Statistical Mechanics · Cross-listed from hep-th
Thermodynamics of interacting magnetic chain molecules
Alexios P. Polychronakos and Konstantinos Sfetsos
We study magnets composed of molecules with an arbitrary number $m$ of magnetically active atoms in a chain configuration interacting with nearest-neighbor couplings. We derive the thermodynamics of a chain of
spin-$j$ $SU(2)$
magnetic atoms using a mean-field approach and determine the
equilibrium states and stability conditions. The system exhibits a rich phase structure with a cascade of ferromagnetic phase transitions, their number ranging from $m$, for maximal ferromagnets, to zero, for paramagnets, depending on the relative strengths of the couplings. In the presence of impurities (modified couplings) at the ends of the chain, boundary states emerge that coexist with the paramagnetic phase or the fully ferromagnetic phase. For long chains, a continuum approximation can be taken that clarifies the structure of the phases. In the continuum description, magnetized states at temperatures lower than the critical temperature at which they appear correspond to kink
solitons.
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Strongly Correlated Electrons
Theory of Topologically Ordered Superfluids in 2+1 Dimensions
Chao-Ming Jian
Topologically ordered superfluids (TOSFs) support deconfined, gapped anyonic excitations while remaining gapless because of Goldstone modes. We develop a general framework for characterizing their topological data in $(2+1)$-dimensional bosonic systems with spontaneously broken charge ${\rm U}(1)_{\rm c}$
symmetry. Gauging ${\rm U}(1)_{\rm c}$ maps a TOSF to a gapped topological order enriched by a dual ${\rm U}(1)_{\rm dual}$
symmetry with vanishing Hall conductance, while gauging ${\rm U}(1)_{\rm dual}$ recovers the TOSF. This two-way mapping allows the topological data of the TOSF, including the condensate charge, deconfined anyon content, and topological properties of
vortices, to be systematically encoded using the algebraic framework of
symmetry-enriched topological orders. In particular, superfluid
vortices share the topological properties of flux defects associated with the residual discrete
symmetry in the gapped anyon sector. We develop complementary algebraic and field-theoretic formulations of this framework, with the latter also suggesting a natural transition to a gapped topologically ordered phase. Additionally, using parton constructions, we present examples of TOSFs with non-Abelian
vortices in bosonic systems.
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Materials Science · Cross-listed from cs.LG
PXtal: Learning to Align Powder X-Ray Diffraction and Crystal Structures under Information Asymmetry across Modalities
Zhuoran Yang, Christopher M. Collins, Bei Peng et al. (+3 more)
Scientific
multimodal learning commonly assumes that paired views are comparably informative. Powder X-ray diffraction (PXRD) makes this mismatch explicit: compressing a three-dimensional
crystal structure into a one-dimensional diffraction pattern loses information and makes the pattern harder to connect to the
crystal structure that produced it. We introduce PXtal, a framework for learning aligned PXRD and
crystal representations under this physically imposed information asymmetry. PXtal uses Unbalanced Optimal Transport (UOT) to adapt the cross-modal coupling and coupling-level generalized Kullback-Leibler (GKL) divergence to supervise the full transport plan. Across six test sets, including four zero-shot transfer sets, PXtal consistently outperforms the baseline models in PXRD-to-
crystal candidate
retrieval, with the largest gains when PXRD patterns have close but crystallographically distinct nonpaired neighbors, meaning similar input patterns associated with different
crystals. The resulting
crystal and PXRD encoders transfer more effectively to downstream materials and crystallographic tasks. These results identify information asymmetry as a general design problem in scientific
multimodal learning:
alignment objectives should reflect what each modality preserves.
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All authors Zhuoran Yang, Christopher M. Collins, Bei Peng, Luke M. Daniels, Matthew J. Rosseinsky, Vladimir V. Gusev
Statistical Mechanics
Efficiency fluctuations in quantum heat engines with non-quasi-static adiabatic strokes
Bikram Keshari Behera and Shyamal Biswas
We have presented an analytical and numerical study of efficiency fluctuations in
quantum Carnot and Otto engines with pistons operating under non-quasi-static adiabatic expansion and compression processes at constant speed, along with quasi-static isothermal (for the Carnot engine) or isochoric processes (for the Otto engine). We have considered the two-point measurement scheme during the adiabatic strokes in this regard. By considering each of the pistons as a single
quantum particle in a 1-D box with a non-quasi-statically movable boundary, we capture the
stochastic nature of the work output resulting from the
unitary evolution of the
quantum mechanical state of the system during non-
equilibrium processes. Furthermore, we have explicitly shown how the piston speed during
quantum non-
equilibrium strokes introduces additional
quantum fluctuations that modify the average efficiency of both the engines.
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Statistical Mechanics
Axiomatic Incompatibility Between Thermal Equilibrium and Volume-Dependent Entropy in Ideal Gas Theory
Andrea Paglietti
A rigorous macroscopic analysis of classical thermodynamics reveals an overlooked contradiction at the foundations of ideal gas theory: the traditional volume dependent formula for
entropy violates the fundamental axiom of thermal
equilibrium during reversible isothermal processes. This paper resolves this inconsistency by establishing a strict operational distinction between strictly isothermal and quasi isothermal processes. We show that in order for the perfect gas to be strictly consistent with the laws of classical thermodynamics, the thermodynamic
entropy of a perfect gas must be a function of temperature only. This independence of volume is also confirmed by a new analysis of the adiabatic free expansion of an ideal gas, which is found to be intrinsically reversible. To reconcile these results with standard thermodynamic practice, we introduce the concept of a pseudo isothermal process (a finite sequence of small adiabatic and isochoric steps) and show that the classical equations for work and heat apply rigorously to these real processes, as opposed to strictly isothermal ones. We conclude by discussing the profound implications of these findings for statistical mechanics, showing that while the corrected thermodynamic
entropy is in perfect agreement with Maxwell's kinetic theory, it is essentially different from the Planck Boltzmann formula. Thus, thermodynamic
entropy and statistical microstate counting are two different physical quantities, and the present analysis provides a simple way to free classical thermodynamics from the paradoxes of microscopic disorder.
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Soft Condensed Matter · Cross-listed from physics.flu-dyn
Kinetic Reduction and Hydrodynamics under Time-Dependent Helical Symmetry
Qingyun Zeng and Fan Feng
Translational and helical
symmetries provide idealized descriptions of many flows encountered in nature and engineering. While translationally symmetric flows have been extensively studied within kinetic and continuum frameworks, the corresponding connection between microscopic dynamics and continuum behaviour for helical flows is less developed. Here, we investigate this connection for a dilute gas with time-dependent helical
symmetry. Using the objective molecular dynamics framework, we derive a reduced Boltzmann equation that retains radial variations while preserving the classical collision operator under helical
symmetry. Formal hydrodynamic expansions then yield the corresponding Euler and Navier-Stokes-
Fourier equations. The resulting models describe how cylindrical geometry and axial deformation influence transport, including viscous transport and heat conduction, and how deformation generates unequal stresses along and across the axis in competition with collisional relaxation. Comparisons with direct simulation Monte Carlo solutions examine both spatially uniform and radially varying flows. In the cases studied, the first-order fluid corrections capture the leading stress anisotropy and improve the prediction of radial temperature variations, while larger Knudsen numbers expose limitations of the approximation.
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Strongly Correlated Electrons
Landau Theory for Non-relativistic Magnetism Beyond Altermagnetism
Hana Schiff, Judit Romhányi, Paul McClarty et al. (+1 more)
In this work we study phenomenological Landau theories of non-relativistic
magnetic systems, generalizing work on the collinear case to coplanar and non-coplanar orders. Focusing on zero-wavevector ($\boldsymbol{k}=0$)
magnetic orders described by a single irreducible representation of the crystallographic point group, we construct the
symmetry-allowed free energies to quartic order for all possible multi-dimensional irreducible ordering channels. We find distinct Landau theories for tetragonal, trigonal/hexagonal, and cubic
symmetry. Similar to the case of
spin-nematic fluids, we find two natural outcomes: a collapse to a lower-
symmetry collinear phase or a genuinely coplanar or non-coplanar order where the order parameters form a mutually orthogonal set in
spin space – reminiscent of the $A$ and $B$ phases in ${}^3$He. We show in general that this
symmetry-broken phase realizes the
spin space group associated with the spatial representation of the order parameter sharing the same parent space group as the paramagnetic phase. This provides a direct link between the Landau and
spin space group approaches. We calculate key observables using this Landau approach, including net magnetization,
spin conductivity, multipolar moments, and piezomagnetism, connecting our results to constraints from the underlying
spin space group. Examples of coplanar and non-coplanar
magnetic orders for each case are worked out in detail. Finally, we discuss the relationship of the lower-
symmetry collinear phases to the usual collinear
spin groups, as well as connections to atomic altermagnetism, superfluid ${}^3$He and electronic nematic phases.
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All authors Hana Schiff, Judit Romhányi, Paul McClarty, Jeffrey G. Rau
Statistical Mechanics
Trend formation with sparse global sampling
Sarath Sankar, Abhijit Sinha, Shankar Ghosh et al. (+2 more)
Achieving global coordination without a central controller or dense global communication is a defining challenge for both biological collectives and engineered swarms. We introduce and analyze a minimal model in which self-propelled
agents in a bounded domain periodically reorient their motions toward the centroid of a small, randomly chosen subset of their peers, with no direct sensing of any individual neighbor's position or heading. We show that this sparse, non-local sampling rule reliably drives an initially disordered population to a globally aligned, nematic state, and that shrinking the sampled subset – down to the minimum of two
agents – accelerates ordering rather than impeding it: the resulting estimation noise, filtered through a
geometric turning rule, is itself the engine of
symmetry breaking. We derive an analytical criterion, in quantitative agreement with simulation, that predicts when this ordering succeeds as a function of the sampling size and sampling frequency. We confirm the mechanism experimentally in a swarm of up to fifteen differential-drive
robots. These results identify sparse random sampling as an information-efficient route to collective coordination, with implications for understanding animal collectives and for designing communication-limited robotic swarms.
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All authors Sarath Sankar, Abhijit Sinha, Shankar Ghosh, Vikram Tripathi, Amitava Bhattacharya
Statistical Mechanics · Cross-listed from econ.EM
From a Hierarchy of Stochastic Differential Equations to a Hierarchy of Generalized Beta Distributions
Siqi Shao and R. A. Serota
We introduce a mean-reverting
stochastic differential equation with a three-component
stochastic term and show that it generates a hierarchy of steady-state (stationary) distributions. At the top level, the hierarchy is described by a modified-Beta distribution, while one- and two-parameter reductions produce compact-support, power-law-tailed, and exponential-type limiting families within a single
stochastic framework. We then construct two generalized extensions of this hierarchy. In the first, the power transformation is applied directly at the level of the
stochastic differential equation; in the second, the same transformation is applied only after the stationary modified-Beta hierarchy has been obtained. While these two procedures agree on important lower branches and limiting cases they generally differ at the top level. The generalized hierarchy is therefore not unique: nonlinear transformation and stationary-state reduction do not commute. For both routes, we derive the probability density and cumulative distribution functions, express their parameters in terms of the underlying
stochastic dynamics, clarify the relations among their limiting cases, and compare the resulting families with the traditional Generalized Beta framework.
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Statistical Mechanics · Cross-listed from math-ph
Iterated Graph Systems (II): Bernoulli percolation and critical-exponent universality classes on hierarchical lattices
Ziyu Neroli
We study Bernoulli percolation and its universality classes on hierarchical
lattices generated by edge iterated graph systems (EIGS). By examining eight critical exponents, we prove that no finite family of substitution-multiplicative dimensions completely determines universality, providing a rigorous proof of the failure of dimension-based universality discussed by Hauser and Saxena [Phys. Rev. B 34 (1986), 8193-8195]. Although the six exponentials
theorem provides number-theoretic criteria for scale commensurability, we further disprove the
conjecture that critical-exponent universality requires commensurate discrete renormalisation scales.
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Statistical Mechanics
Effective-Geometry Rescaling and Universal Critical Behavior in the Anisotropic Three-State Potts Model on the Square Lattice
Fan Yang, Jian Gao, Lu Liu et al. (+1 more)
We study the two-dimensional anisotropic three-state Potts ferromagnet on the square
lattice using Wolff single-cluster Monte Carlo simulations and finite-size scaling. For coupling ratios $\lambda=J_y/J_x=0.5$, $0.75$, and $1$, finite-size scaling of the correlation ratio yields critical behavior consistent with the two-dimensional three-state Potts universality class. The scaling of the leading Fisher zeros gives a correlation-length exponent consistent with $\nu=5/6$, while their cumulative density is consistent with the expected specific-heat exponent $\alpha=1/3$. We further characterize the anisotropy at criticality using directional correlation ratios $R_x$ and $R_y$ together with directional FK wrapping probabilities. For $\lambda=0.5$ on a physically square
lattice, $R_x$ and $R_y$ approach distinct critical values while yielding a common correlation-length exponent. From the wrapping probabilities, we independently determine an effective aspect ratio $\rho_e^\square=0.6413(5)$, in close agreement with the theoretical value $\rho_e^{\square,\mathrm{th}}\simeq0.64150030$ obtained from the isoradial representation. Using the theoretical value to set the physical aspect ratio restores directional equivalence, $R_x\simeq R_y$, and brings the overall correlation ratio toward the isotropic-square reference. The results show that spatial anisotropy changes the effective critical geometry without altering the bulk three-state Potts universality class.
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All authors Fan Yang, Jian Gao, Lu Liu, Yuhai Liu
Strongly Correlated Electrons
Excitation Spectra of the Frustrated Spin-1/2 $J_1$-$J_2$ Model via Dual Spin-Sector Variational Quantum Eigensolvers
Sk Saniur Rahaman
Finding excited states and excitation gaps in frustrated
spin systems using Variational
Quantum Eigensolvers (VQE) is complicated by state-ordering inversions. In the frustrated
spin-1/2 $J_1$-$J_2$ Heisenberg model, standard single-sector
algorithms like Variational
Quantum Deflation (VQD) in $S_z=0$ fail when $J_2/J_1 < 0.25$. In this regime, the lowest-lying excitation in $S_z=0$ is a Triplet ($S=1$), which lies below the Excited Singlet ($S=0$). Standard deflation projects out the ground singlet and converges onto the Triplet state, misidentifying it as the Excited Singlet. Here, this work presents a Dual
Spin-Sector VQE framework that resolves these state-ordering inversions applied to frustrated $J_1-J_2$ models on 1D
spin chains and 2D rectangular
lattices. Firstly, by optimizing the ground Triplet state in the $S_z=1$ sector (where singlet states cannot exist), mapping it into $S_z=0$ via the total
spin-lowering operator $S^- = \sum_i S_i^-$, and evaluating a dual-sector penalty cost function, the Excited Singlet ($E_S$) is isolated without variational ambiguity. Numerical state-vector simulations confirm exact convergence to machine precision with unit overlap fidelity. The method captures key physical features, including the gapless phase, the gapless-gapped critical point at $J_2/J_1 \approx 0.2411$, the Majumdar-Ghosh dimer point ($J_2/J_1 = 0.50$), and the 2D non-
magnetic frustrated regime ($J_2/J_1 \approx 0.40 - 0.60$). Finite-shot sampling simulations and gate-scaling analytics up to $N=100$
qubits demonstrate the resource efficiency and shot resilience of the
algorithm for near-term
quantum execution.
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Soft Condensed Matter · Cross-listed from physics.flu-dyn
Phase-controlled lateral forcing of droplets on a vibrating bath
Lawrence A. Wilen, Zahra Shamsi, Johnathan Hoggarth et al. (+1 more)
We introduce a method for controlling the lateral motion of droplets bouncing on a vibrated
liquid bath by superimposing a small periodic rocking motion onto the conventional vertical forcing. We show experimentally that the lateral velocity varies linearly with the rocking amplitude $\alpha$ and sinusoidally with its phase $\phi$ relative to the vertical forcing, while the response depends strongly on the droplet's vertical bouncing mode. A time-averaged model of a harmonic bouncer yields a time-averaged lateral force $\overline{F}_x=mg\alpha\sin(\Phi_b+\phi)$, where $\Phi_b$ is the droplet impact phase. Periodic rocking thus provides a simple, programmable means of exerting lateral forces on bouncing droplets, enabling controlled manipulation of passive and active droplets in pilot-wave hydrodynamics.
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All authors Lawrence A. Wilen, Zahra Shamsi, Johnathan Hoggarth, Bauyrzhan K. Primkulov
Superconductivity
Correlating DC SQUID Performance with the Location of Trapped Magnetic Flux Using Scanning SQUID Microscopy
Bochao Xu, Ian W. Haygood, Kyle Jackman et al. (+3 more)
Holes in the ground planes of superconducting
circuits, commonly referred to as moats, are known to be an effective means of mitigating the deleterious effects of residual
magnetic flux in superconducting
circuits. Previous studies have utilized scanning SQUID microscopy (SSM) to image the effectiveness of various moat geometries and the maximum
magnetic fields where they no longer prevent
vortices in the ground plane but have not directly correlated the location of flux with
circuit performance measurements. In this study we employ SSM to image the effectiveness of various moat configurations in trapping unwanted flux near a DC SQUID, and when the moats are not effective, the location of
vortices in the ground plane. During the same cooldown, and without disturbing the
circuit, we measure the
circuit performance to directly correlate this with the
vortex location. We show that there are preferential pinning sites for fluxons regardless of moat configuration, demonstrating the utility of the SSM in provide feedback for
circuit layout, modeling, and failure analysis.
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All authors Bochao Xu, Ian W. Haygood, Kyle Jackman, Coenrad J. Fourie, Pete F. Hopkins, Michael L. Schneider
Materials Science
Magnetic Order from First-Principles Linear Response
Yaroslav Zhumagulov, Emiliano Cruz-Aranda, Denis Kochan et al. (+1 more)
The
magnetic order of a material is usually predicted by comparing the energies of trial
spin configurations, a strategy that cannot reach orders outside the chosen set and rapidly becomes intractable as the number of
magnetic sites grows. We show that the order can instead be identified directly from the paramagnetic state: the leading eigenmodes of its self-consistent magnetization response, obtained with
spin–orbit coupling at arbitrary wavevector within the primitive
cell, determine both the ordering wavevector and the pattern of moments, with no candidate configurations. With no prior assumption about the order, the method correctly reproduces the G-type stacking with out-of-plane moments in the altermagnet candidate KV$_2$Se$_2$O, the $3{:}1$ ferrimagnetic tetrahedra of Cu$_2$OSeO$_3$, and the incommensurate spiral instability of monolayer NiI$_2$. Our results establish the response of the paramagnetic state as a predictive and unbiased route to assessing
magnetic order, enabling systematic searches for complex magnets.
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All authors Yaroslav Zhumagulov, Emiliano Cruz-Aranda, Denis Kochan, Oleg V. Yazyev
Materials Science
Interface Doping Mechanism of p-Type Conductivity in Mist-CVD-Grown LiGa5O8 Thin Films
Dong Su Yu, Shashu Tomar, Zixiu Huang et al. (+7 more)
LiGa5O8 is an ultrawide-bandgap oxide
semiconductor that has recently been experimentally demonstrated to exhibit p-type conductivity; however, the origin of the observed p-type transport remains poorly understood. In this work, we investigate the origin of p-type conductivity by systematically comparing the electrical, compositional, and structural properties of mist chemical vapor deposition (mist-CVD) grown LiGa5O8 thin films exhibiting either p-type conductivity or insulating behavior under different growth conditions. The p-conductive films exhibit room-temperature hole concentrations on the order of 10^18 cm^-3. The emergence of p-type conductivity is found to be strongly correlated with the elemental composition of the films, with X-ray photoelectron spectroscopy (XPS) revealing a reduced Li/Ga ratio in the p-conductive films, indicative of a Li-deficient composition. Raman spectroscopy and X-ray diffraction (XRD) further reveal signatures of e̱ta}-Ga2O3 in the p-conductive films that are absent in the insulating films, demonstrating the formation of a secondary e̱ta}-Ga2O3 phase. Considering the reported type-II band
alignment between LiGa5O8 and e̱ta}-Ga2O3, together with theoretically predicted acceptor levels associated Li vacancies (V_Li) in LiGa5O8, the formation of mixed LiGa5O8/e̱ta}-Ga2O3 phases is proposed to facilitate electron transfer from the e̱ta}-Ga2O3 valence band to acceptor states in LiGa5O8, thereby promoting hole accumulation and p-type conductivity.
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All authors Dong Su Yu, Shashu Tomar, Zixiu Huang, Kaitian Zhang, Sarker Md. Sadman, Vijay Gopal Thirupakuzi Vangipuram, Ye Lin, Walter R. L. Lambrecht, Roberto C. Myers, Hongping Zhao
Mesoscale and Nanoscale Physics
Pseudospin Hall Transport Induced by Berry Curvature
Qinhui Jiang, Jidong Song, Qingyang Mo et al. (+4 more)
Pseudospin-1 Dirac systems exhibit unique physics distinct from conventional Dirac cones, such as flat-band crossings and non-Abelian characteristics, yet their topological transport properties have remained largely untapped in passive, time-reversal-invariant settings. Here we uncover an in-plane polarity of the Berry-
curvature texture in a pseudospin-1 Dirac
Hamiltonian, a previously unexplored
geometric degree of freedom encoded in the sign-resolved distribution of Berry
curvature despite zero net Berry flux, and reveal a new mechanics where Berry
curvature induce pseudospin Hall behaviors in a system. We show that the oriented coupling between this momentum-space polarity and a real-space mass gradient governs a
geometric selection rule that dictates the emergence of gapless pseudospin Hall modes. By engineering the intracell couplings of a four-site planar
lattice, we independently program the Berry-
curvature polarity and the spatial mass gradient without altering the host
lattice symmetry. Acoustic experiments directly confirm this directional selection rule: reversing the mass gradient closes or reopens the dispersive gap, while pseudospin-selective source excitation launches counterpropagating pseudospin branches along arbitrary prescribed axes. Our work establishes
quantum geometric polarity as a versatile tool for reconfigurable wave routing, sensing, and high-capacity
quantum applications.
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All authors Qinhui Jiang, Jidong Song, Qingyang Mo, Bo Li, Dongyi Wang, Shuang Zhang, Mengyao Li
Quantum Gases · Cross-listed from quant-ph
Quantum simulation of the Heisenberg XXZ model on a Rydberg atom array
Matthias Werner and Artur García-Sáez
A major application of analog
quantum hardware is
quantum simulation, where a system evolves over time according to a given
Hamiltonian. One challenge when implementing the
Hamiltonian on a programmable
quantum simulator is the availability of distinct coupling types, many of which go beyond the conventional ZZ-couplings found in Ising
Hamiltonians that are naturally implemented by various platforms. In prior work, we have developed a method based on domain wall encoding to simulate one-dimensional
spin chains using only Ising
Hamiltonians, which would otherwise require XX+YY-couplings as well. Here, we implement the method on a commercially accessible Rydberg atom
quantum device, and simulate the time
evolution of the Heisenberg XXZ model with various anisotropies. We successfully probe the XY and Ising phases of the model and reproduce the qualitative behavior of several one- and two-body observables in both phases, as well as at the critical point. Our work augments the toolbox to simulate canonical
quantum many-body systems on analog
quantum simulators.
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Mesoscale and Nanoscale Physics
Exciton switching and tunable exciton-phonon coupling in Oxygen doped ZnO nanorods
Aiswarya Rath, Kalyan Ghosh and Pratap K Sahoo
Self ion doping in ZnO nanorods offers a powerful route to dynamically control excitonic states and light matter interactions. Here, vertically aligned hexagonal ZnO nanorods were irradiated with 250 keV oxygen ions to establish a direct link between irradiation induced defects and excitonic and optical responses. Increasing ion fluence progressively quenches the near band edge emission at 380 nm, leading to a complete
exciton OFF state, while thermal annealing restores the emission, yielding a reversible
exciton OFF or ON response. This switching originates from defect mediated modification and thermal recovery of excitonic states. The defect band emission, between 400 to 750 nm, exhibits quasi periodic whispering gallery mode like resonances that are progressively suppressed as irradiation alters nanorod geometry and optical confinement. Low-temperature photoluminescence resolves D0X, FX 1LO, and FX 2LO transitions, whose temperature
evolution follows the Bose Einstein model. The non-monotonic variation of excition
phonon coupling strength reveals a competition among irradiation induced defects,
lattice distortion, and
exciton localization in determining
exciton phonon coupling. These results establish Oxygen ion irradiation as a means to simultaneously engineer excitonic switching,
exciton phonon interactions, and optical resonances, providing a pathway toward defect programmable ZnO nanophotonic and optoelectronic devices.
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Statistical Mechanics · Cross-listed from hep-lat
Finite-size scaling analysis of three dimensional Z(2) and O(2) spin models with non-vanishing symmetry breaking parameter
Jishnu Goswami, Frithjof Karsch and Sabarnya Mitra
We present results from a detailed finite-size scaling analysis of the $3$-$d$, $Z(2)$ and $O(2)$
spin models in an external field $H$. Using high statistics Monte Carlo data, we obtain the leading finite-size scaling correction to the infinite volume scaling functions. We show that these corrections are proportional to $\widetilde{z}_L^2=1/(H L^{3/(1+1/\delta))})^{2}$. This provides the parametric form for finite-size corrections to bulk thermodynamic observables as well as the pseudo-critical temperatures determined at non-vanishing $H$. In particular, it allows to eliminate systematic errors in the analysis of the chiral phase transition temperature in (2+1)-flavor QCD, that arose from the previously not well-controlled ansatz for infinite volume extrapolations. We also establish the validity range of this leading order correction and point out that there are significant differences between the $3$-$d$, $O(2)$ and $Z(2)$ universality classes.
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Statistical Mechanics
Gaussian Scrooge Ensemble from Deep Thermalization in Free-Fermions
Angelo Russotto, Katja Klobas, Pasquale Calabrese et al. (+1 more)
Deep thermalization indicates the emergence of universal ensembles of pure states in a subsystem after measuring its environment. We investigate this phenomenon in a free-
fermion chain using local measurements that preserve Gaussianity and break particle-number conservation. Although the measurement outcomes provide partial information about local conserved charges within a finite subsystem, we argue that this information becomes negligible in the thermodynamic limit. This effective non-revelation underlies the emergence of a fermionic Gaussian Scrooge ensemble, determined by the subsystem's generalized Gibbs ensemble. We construct this universal ensemble directly at the subsystem level and provide numerical evidence that it describes the late-time projected ensemble at finite temperature. Our results extend the description of thermalization in non-interacting integrable systems beyond the reduced density
matrix to universal statistics of conditional pure states.
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All authors Angelo Russotto, Katja Klobas, Pasquale Calabrese, Bruno Bertini
Materials Science
Electronic Structure Descriptors for CO$_2$ Conversion Activity in Perovskite Oxides
Hyo-sun Jin, Jiyeon Kim and Sooran Kim
Electronic structure descriptors have been widely used to rationalize catalytic activity, but their application to CO$_2$-to-CH$_4$ conversion in perovskite oxides remains relatively limited. Here, we investigate six electronic structure descriptors related to band centers and bandwidths. We find that the unoccupied transition-metal (TM) $3d$-band center, charge-transfer energy, and the ratio of the unoccupied TM $3d$ to occupied O $2p$ bandwidths, $W_{3d}/W_{2p}$, exhibit negative correlations with CH$_4$ activity. These qualitative trends are further quantified using a parametric brute-force searching (BFS) approach to obtain explicit fitting equations. Notably, the selected equations depend only on $W_{3d}/W_{2p}$, providing an electronic structure perspective on the enhanced activity in double perovskites. We apply the selected equation to screen 24 La-based double perovskites. This screening suggests that La$_2$CoGaO$_6$, La$_2$CoAlO$_6$, and Ti-containing compositions are promising candidates. The present approach can help identify descriptor-activity relationships and guide materials screening in perovskite oxides.
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