Statistical Mechanics · Cross-listed from physics.comp-ph
Boltzmann Generators for Condensed Matter via Riemannian Flow Matching
Emil Hoffmann, Maximilian Schebek, Leon Klein et al. (+2 more)
Sampling
equilibrium distributions is fundamental to statistical mechanics. While flow matching has emerged as scalable state-of-the-art paradigm for generative modeling, its potential for
equilibrium sampling in condensed-phase systems remains largely unexplored. We address this by incorporating the periodicity inherent to these systems into continuous normalizing flows using Riemannian flow matching. The high computational cost of exact density estimation intrinsic to continuous normalizing flows is mitigated by using Hutchinson's trace
estimator, utilizing a crucial bias-correction step based on cumulant expansion to render the
stochastic estimates suitable for rigorous thermodynamic reweighting. Our approach is validated on monatomic ice, demonstrating the ability to train on systems of unprecedented size and obtain highly accurate free energy estimates without the need for traditional multistage
estimators.
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All authors Emil Hoffmann, Maximilian Schebek, Leon Klein, Frank Noé, Jutta Rogal
Soft Condensed Matter
Shape, confinement and inertia effects on the dynamics of a driven spheroid in a viscous fluid
Aditya Bhowmik, Kevin Stratford, Oliver Henrich et al. (+1 more)
The dynamics of anisotropic particles in viscous flows underpin a wide range of processes in soft matter, microfluidics, and targeted drug delivery. Here, we investigate the motion of externally driven prolate and oblate spheroids suspended in a Newtonian fluid and confined within a square microchannel. Using
lattice Boltzmann simulations, complemented by far-field hydrodynamic theory based on superposition of wall interactions, we systematically quantify how particle aspect ratio, strength of confinement, and fluid inertia influence the dynamics of a spheroid. For unconfined spheroids, we show that the translational velocity is maximized not for a sphere but for a prolate (end-on) or oblate (broadside-on) spheroid of a specific aspect ratio. Under confinement, the optimal aspect ratio shifts toward oblate shapes due to the dominant contribution of wall-induced frictional resistance. Off-center positioning introduces strong translation-rotation coupling, giving rise to two families of oscillatory trajectories - glancing and reversing - whose existence and structure are captured as closed orbits in phase space. Weak fluid inertia breaks these closed loops: glancing trajectories spiral outward and merge with reversing trajectories, and new stable fixed points emerge. Together, these results reveal how modest deviations from sphericity or creeping-flow conditions profoundly alter the dynamics of driven particles in confined geometries. The predictions offer guidelines for optimizing particle shape in microfluidic transport and highlight the rich nonlinear behavior accessible in confined suspensions of nonspherical colloids.
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All authors Aditya Bhowmik, Kevin Stratford, Oliver Henrich, Sumesh P. Thampi
Soft Condensed Matter
Morphological instability of an invasive active-passive interface
Sumit Sinha, Haiqian Yang and L Mahadevan
Morphological instabilities of growing tissues that impinge on passive materials are typical of invasive cancers. To explain these instabilities in experiments on breast epithelial spheroids in an extracellular
matrix, we develop a continuum phase field model of a growing active
liquid expanding into a passive viscoelastic
matrix. Linear stability analysis of the sharp-interface limit of the governing equations predicts that the tissue interface can develops long-wavelength instabilities, but these instabilities are suppressed when the active carcinoid is embedded in an elastic
matrix. We develop a theoretical morphological phase diagram, and complement these with two-dimensional finite element (FEM) phase-field simulations to track the nonlinear
evolution of the interface with results consistent with theoretical predictions and experimental observations. Our study provides a basis for the emergence of interfacial instabilities in active-passive systems with the potential to control them.
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Materials Science
Biaxial Strain Control of Helimagnetism via Chemical Expansion in Thin Film SrFeO3
Jennifer Fowlie, Jiarui Li, Danilo Puggioni et al. (+15 more)
We demonstrate control of helimagnetic order in biaxially strained SrFeO3 thin films using
neutron diffraction and resonant soft x-ray scattering. SrFeO3, a negative charge-transfer
oxide, exhibits a complex
magnetic phase diagram that includes multi-q
spin structures. Tensile epitaxial strain produces a pronounced shortening of the helimagnetic ordering length and a tilting of the
magnetic ordering vector. We interpret this behavior in terms of chemical expansion:
lattice dilation under tensile strain lowers the energetic cost of oxygen vacancies, leading to an expanded unit
cell that modifies Fe-O hybridization and enhances superexchange relative to double exchange. These results reveal how epitaxial strain can indirectly tune helimagnetism through defect-driven chemical expansion, highlighting the strong coupling between
lattice, chemistry, and
magnetic order in transition-metal
oxides. Our findings establish chemical expansion as an effective mechanism for engineering complex
magnetic textures in
oxide thin films, with implications for spintronic, magnonic, and
quantum information applications.
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All authors Jennifer Fowlie, Jiarui Li, Danilo Puggioni, Lucas Barreto, Lin Ding Yuan, James M. Rondinelli, Ronny Sutarto, Teak D. Boyko, Fabio Orlandi, Pascal Manuel, Dmitry Khalyavin, Eder G. Lomeli, Brian Moritz, Thomas P. Devereaux, Skylar Koroluk, Robert J. Green, Steven J. May, Harold Y. Hwang
Quantum Gases
Properties of Bose-Einstein condensates with altermagnetism
Jia Wang, Zhao Liu, Xia-Ji Liu et al. (+1 more)
We investigate a weakly interacting two-component Bose–Einstein condensate in the miscible regime in the presence of altermagnetism, i.e., a collinear and globally compensated
magnetic order that breaks
spin-rotation
symmetry while maintaining zero net magnetization. Within Bogoliubov theory, we derive the quasiparticle spectrum and coherence factors and show that altermagnetic order generically induces an angular dependence of the low-energy excitations. As a result, the sound velocity, momentum-resolved magnetization in the
quantum depletion, and density–
spin response functions acquire anisotropic components. We show that these anisotropic contributions vanish after angular averaging, consistent with the defining feature of altermagnetism: nontrivial local
spin polarization without a global magnetization. Finally, we evaluate the Lee–Huang–Yang correction to the ground-state energy in the altermagnetic phase. Our results should be testable with ultracold-atom experiments in the foreseeable future.
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All authors Jia Wang, Zhao Liu, Xia-Ji Liu, Hui Hu
Materials Science
Self-pinning mechanism for grain boundary stabilization
Omar Hussein and Yuri Mishin
Previous research focused on two different mechanisms of microstructure stabilization in
alloys: thermodynamic stabilization by reducing the grain boundary (GB) free energy and kinetic stabilization by suppressing the GB mobility by solute drag or embedded pinning particles. Here, we propose a new GB stabilization mechanism, called self-pinning, in which the segregation atmosphere of a moving GB spontaneously breaks into solute-rich clusters, which produce a strong pinning effect in addition to the free energy reduction resulting from the segregation. The cluster formation is caused by strong solute-solute attraction at GBs, leading to a first-order transformation between solute-lean and solute-rich GB phases. The effect is demonstrated by kinetic Monte Carlo simulations capturing segregation thermodynamics, GB dynamics, and solute
diffusion. The self-pinning provides an intrinsic stabilization mechanism for suppressing grain growth that couples thermodynamics and kinetics. The mechanism obviates the need for pre-existing second phase inclusions, refocusing the
alloy design on GB phase behavior.
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Strongly Correlated Electrons
Superconductivity in strongly correlated systems for local repulsive interactions
Humberto M. Silva, Francisco Dinola Neto, Griffith M. A. R. et al. (+4 more)
The understanding of the mechanisms responsible for superconductivity in strongly correlated systems is an interesting and important subject in condensed matter physics. Several theoretical proposals were considered for these systems. The Coulomb interaction between electrons allow a new approach to study this problem. In this paper, we use a usual Hubbard model with a local repulsive interaction to describe a 2D system. The system of equations are solved using the Green's functions method, within a Hubbard-I mean field approximation, which allows to treat the strong interaction limit. We consider both cases of attractive and repulsive interactions and obtain the zero temperature phase diagram of the model. Our results show, in the repulsive case, the existence of a superconducting ground state mediated by the kinetic electronic energy and described by a non-local order parameter. A minimum value of the repulsive interaction $U_{min}$ is required to create a pairing state. At finite temperatures, for strong interactions, the critical temperature $T_c$ shows a saturation similar to the Bose-Einstein condensation observed for strong attractive interactions.
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All authors Humberto M. Silva, Francisco Dinola Neto, Griffith M. A. R., Minos A. Neto, Octavio D. R. Salmon, Mucio A. Continentino, Amos Troper
Quantum Gases · Cross-listed from gr-qc
Cosmological production of dark matter in the Universe and in the laboratory
Álvaro Parra-López
This thesis investigates cosmological particle production within
Quantum Field Theory in Curved Spacetimes, both as a dark matter mechanism and through analog simulations using Bose-Einstein condensates. While a full theory of
Quantum Gravity remains elusive, studying
quantum fields on curved backgrounds provides essential insights into the early Universe. We focus on how dynamical spacetimes, particularly during inflation, generate particles from spectator fields influenced solely by geometry. The work is divided into four parts. Part I establishes the theoretical framework, covering cosmology, inflation, and the principles of analog
gravity. Part II analyzes particle production in various inflationary models, showing that scalar and vector fields can account for observed dark matter abundance, especially through tachyonic instabilities. Part III explores BEC experiments, mapping
phonons to scalar fields in expanding universes. We demonstrate the reconstruction of expansion histories, reinterpret production as a scattering problem, and propose methods to measure
entanglement between produced pairs. Finally, Part IV addresses
quantum vacuum ambiguities and the impact of non-adiabatic transitions during the "switch-on" and "switch-off" of expansion. Ultimately, this work highlights the viability of cosmological particle production for dark matter and the power of analog experiments to enhance our understanding of
quantum effects in curved spacetimes.
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Materials Science
Benchmarking of Massively Parallel Phase-Field Codes for Directional Solidification
Jiefu Tian, David Montiel, Kaihua Ji et al. (+4 more)
We present a detailed
benchmark comparing two state-of-the-art phase-field implementations for simulating
alloy solidification under experimentally relevant conditions. The study investigates the directional solidification of Al-3wt%Cu under high-velocity solidification conditions and SCN-0.46wt% camphor under microgravity conditions from National Aeronautics and Space Administration (NASA) DECLIC-DSI-R experiments. Both codes, one employing finite-difference discretization with uniform mesh and GPU-acceleration (GPU-PF) and the other one employing finite-element discretization with adaptive-mesh and CPU-parallelization (PRISMS-PF), solve the same quantitative phase-field formulation that incorporates an anti-trapping current for the solidification of dilute
alloys. We evaluate the predictions of each code for dendritic morphology, primary spacing, and tip dynamics in both 2D and 3D, as well as their numerical convergence and computational performance. While existing
benchmark problems have primarily focused on simplified or small-scale simulations, they do not reflect the computational and modeling challenges posed by employing experimentally relevant time and length scales. Our results provide a practical framework for assessing phase-field code performance as well as validating and facilitating their application in integrated computational materials engineering (ICME) workflows that require integration with realistic experimental data.
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All authors Jiefu Tian, David Montiel, Kaihua Ji, Trevor Lyons, Jason Landini, Katsuyo Thornton, Alain Karma
Superconductivity
Possible Proximity to Ferromagnetism in the V$_2$Ga$_5$ Superconductor
Szymon Królak, Xudong Huai, Wiktoria Jarosz et al. (+6 more)
Superconductivity and ferromagnetism are generally competing ground states in $d$-electron systems, making their interplay of fundamental interest. We report a comprehensive study of high-quality single- and polycrystalline V$_2$Ga$_5$, a bulk type-II
superconductor ($T_c = 3.54 \ K$) with a quasi-one-dimensional
crystal structure, supplemented with density functional theory (DFT) calculations, suggesting possible proximity to
ferromagnetic order. Below $T \approx 10 \ K$,
magnetic susceptibility shows ZFC/FC splitting, along with saturation and hysteresis in $M(H)$. Moreover, electrical transport measurements reveal a
magnetic-field-dependent resistivity upturn, while specific heat is enhanced in
magnetic fields. DFT calculations show that the
Fermi level in V$_2$Ga$_5$ is located at a peak in the density of states, with a small
magnetic moment per unit
cell comparable to the experimental value. Together, these results indicate the possibility that
ferromagnetic correlations develop below $T \approx 10 \ K$, well above $T_c$, with long-range
ferromagnetic order suppressed by the superconducting transition.
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All authors Szymon Królak, Xudong Huai, Wiktoria Jarosz, Filip Košuth, Pavol Szabó, Michał J. Winiarski, Sudip Malick, Thao T. Tran, Tomasz Klimczuk
Materials Science
Device Applications of Heterogeneously Integrated Strain-Switched Ferrimagnets/Topological Insulator/Piezoelectric Stacks
Supriyo Bandyopadhyay
A family of ferrimagnets (CoV2O4, GdCo, TbCo) exhibits out-of-plane
magnetic anisotropy when strained compressively and in-plane
magnetic anisotropy when strained expansively (or vice versa). If such a ferrimagnetic thin film is placed on top of a topological
insulator (TI) thin film and its
magnetic anisotropy is modulated with strain, then interfacial exchange coupling between the ferrimagnet (FM) and the underlying TI will modulate the surface current flowing through the latter. If the strain is varied continuously, the current will also vary continuously and if the strain alternates in time, the current will also alternate with the frequency of the strain modulation, as long as the frequency is not so high that the period is smaller than the switching time of the FM. If the strain is generated with a gate voltage by integrating a piezoelectric underneath the FM/TI stack, then that can implement a transconductance amplifier or a synapse for neuromorphic computation.
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Mesoscale and Nanoscale Physics
J. P. G. Nascimento, J. M. Pereira Jr., R. N. Costa Filho et al. (+4 more)
The sublattice-
symmetry breaking in the $\alpha-T_3$
lattice leads to a bandgap opening. A defect line in the substrate on which the $\alpha-T_3$
lattice is deposited can be viewed as a topological change in the substrate that induces translational in-plane
symmetry breaking, resulting in mid-gap states. These topologically protected states are confined along the defect line and exhibit preferential directional motion, with different signs for the different Dirac valleys. Within this context, we investigate how these unidirectional interface
chiral states are affected in the presence of a perpendicular
magnetic field and how they can be tuned by varying the controlling system parameter $\alpha$. The latter tunes the $\alpha-T_3$ structure from a honeycomb-like
lattice ($\alpha=0$) to a dice
lattice ($\alpha=1$). Our theoretical framework is based on the continuum approximation described by a $3\times 3$
matrix Hamiltonian with a sublattice
symmetry-breaking term given by $\Delta(x) diag(1,\quad -1,\quad 1)$, assuming $\Delta(x)$ as a kink-like mass potential profile. Results for dispersion relations and wavefunction distributions for different $\alpha$ parameters and
magnetic field amplitudes are discussed. We demonstrate lifting of Landau levels degeneracy and of valley degeneracy. Our findings pave the way for proposing valley filter devices based on any evolutionary stage between the honeycomb-like and dice
lattice structures of the $\alpha-T_3$ phase, controlled by external fields.
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All authors J. P. G. Nascimento, J. M. Pereira Jr., R. N. Costa Filho, F. M. Peeters, M. M. Freire, W. P. Lima, D. R. da Costa
Soft Condensed Matter
What is active wetting?
Uwe Thiele
In recent years the term active wetting has gained some traction in works describing, analyzing and modeling a wide variety of wetting phenomena, for instance, in the contexts of biomolecular condensates, of
cell layers or
cell aggregates, and of active Brownian particles. The present perspective discusses a coarse classification of wetting phenomena that accounts for this. First, different categories of static and dynamic wetting of passive
liquids are briefly introduced, in particular, distinguishing
equilibrium wetting, relaxational wetting, driven wetting, and reactive wetting. Second, an overview is given of the various phenomena recently described as active wetting. We conclude by discussing a possible definition of active wetting together with a number of caveats that one might want to keep in mind when using such classifications.
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Strongly Correlated Electrons
Atomically-sharp magnetic soliton in the square-net lattice EuRhAl$_{4}$Si$_{2}$
Kevin Allen, Juba Bouaziz, Yichen Zhang et al. (+17 more)
Topological
spin textures are hallmark manifestations of competing interactions in
magnetic matter. Their effective description by nonlinear field theories reflects an energetic frustration that destabilizes uniform order while selecting finite-size, topologically nontrivial configurations as stationary states. Among the most extreme realizations are atomically-sharp domain wall excitations, namely one-dimensional (1D)
magnetic solitons, which represent the ultimate scaling limit of
magnetic textures. Such
solitons may emerge in
magnetic systems where effective exchange interactions compete directly with uniaxial
magnetic anisotropy. Here we show that the square-net rare earth compound EuRhAl$_{4}$Si$_{2}$ realizes a very susceptible regime where the
magnetic anisotropy competes with highly frustrated exchange interactions stabilizing a rare ferrimagnetic $\uparrow\uparrow\downarrow$ state that, under applied
magnetic field, supports the formation of atomically-sharp
soliton defects. We confirm the bulk response of the 1D
magnetic solitons via magnetization and electrical transport measurements. We establish both the zero- and in-field $\uparrow\uparrow\downarrow$ order via
neutron diffraction, while
magnetic force microscopy visualizes its real-space
evolution into a stripe-like array. To elucidate the microscopic origin of the
soliton, we relate the Ruderman-Kittel-Kasuya-Yosida (RKKY)-driven exchange interactions and the
magnetic anisotropy through density functional theory, and we construct an effective 1D $J_{1}$-$J_{2}$-$K$ model whose atomistic
spin dynamics simulations reproduce the observed
soliton states as a function of external field. Our results demonstrate that EuRhAl$_{4}$Si$_{2}$ hosts atomically-sharp, field-driven 1D
magnetic solitons, providing a new platform for studying 1D topological excitations at the atomic length scale.
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All authors Kevin Allen, Juba Bouaziz, Yichen Zhang, Kai Du, Sanu Mishra, Gustav Bihlmayer, Yiqing Hao, Victor Ukleev, Chen Luo, Florin Radu, Yuxiang Gao, Marta Zonno, Sergey Gorovikov, Christopher Lane, Jian-Xin Zhu, Huibo Cao, Sang-Wook Cheong, Ming Yi, Stefan Blügel, Emilia Morosan
Statistical Mechanics
Cyclic active refrigerators
S. Liu, A. Datta and A. C. Barato
Thermodynamic cycles are idealized processes that can convert heat into work or produce heat flow against a temperature gradient with the input of work. They remain an active area of research in modern
stochastic thermodynamics. In particular, cyclic active heat engines have been shown to display a rich phenomenology, such as “violations” of the Carnot bound on efficiency and an improved performance in comparison to their passive counterparts. We introduce the concept of cyclic active refrigerators using a previously derived second law for cyclic active systems. We show that for cyclic active refrigerators, a naive definition of the coefficient of performance can exceed the bound set by the standard second law for passive refrigerators. We also show that cyclic active systems can behave like a Maxwell's demon, with heat flowing from the cold to the hot reservoir without any work input. Beyond this phase, cyclic active systems can enter a hybrid phase, functioning as both a heat engine and a refrigerator simultaneously. Our results are obtained with two models that involve active Brownian particles, a simpler one that allows for analytical results and a more realistic one that is analyzed through numerical simulations.
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Statistical Mechanics · Cross-listed from physics.chem-ph
Field-driven Ion Pairing Dynamics in Concentrated Electrolytes
Seokjin Moon and David T. Limmer
We investigate ion pairing dynamics in electrolytes driven far from
equilibrium using molecular simulations and nonequilibrium rate theory. Focusing on 0.5 M $\mathrm{LiPF_6}$ in water and acetonitrile under uniform electric fields, we compute transition path theory observables including reactive fluxes and mean first-passage times of ion pairing. Moreover, we introduce a dynamical proxy of free-ion population, where its field-induced change is strongly correlated with the nonlinear enhancement of conductivity, yielding an increase of $40 \ \%$ at 50 mV/Å in acetonitrile, compared to less than $10 \ \%$ in aqueous electrolytes. Further kinetic analysis elucidates that Onsager's classical theory substantially overestimates field-induced enhancement of ion pair dissociation in molecular electrolytes. This discrepancy arises from solvent-mediated dynamical pathways and field-induced dielectric decrement that suppress ion pair dissociation within explicit solvents, highlighting that a faithful description of molecular details is essential. Our results provide a molecular interpretation of nonlinear electrolyte transport beyond continuum theories and establish a general framework for quantifying nonequilibrium reaction kinetics in condensed phase systems.
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Statistical Mechanics
Whodunnit? The case of midge swarms
L. L. Bonilla and R. González-Albaladejo
As collective states of animal groups go, swarms of midge insects pose a number of puzzling questions. Their ordering polarization parameter is quite small and the insects are weakly coupled among themselves but strongly coupled to the swarm. In laboratory studies (free of external perturbations), the correlation length is small, whereas midge swarms exhibit strong correlations, scale free behavior and power laws for correlation length, susceptibility and correlation time in field studies. Data for the dynamic correlation function versus time collapse to a single curve only for small values of time scaled with the correlation time. Is there a theory that explains these disparate observations? Among the existing theories, whodunnit? Here we review and discuss several models proposed in the literature and extend our own one, the harmonically confined Vicsek model, to anisotropic confinement. Numerical simulations of the latter produce elongated swarm shapes and values of the static critical exponents between those of the two dimensional and isotropic three dimensional models. The new values agree better with those measured in natural swarms.
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Materials Science
Computational discovery of cathode materials for rechargeable aqueous zinc-ion batteries
Caio Miranda Miliante, Yuzhen Deng, Brian D. Adams et al. (+2 more)
Rechargeable aqueous zinc-ion batteries (RAZIBs) attract major interest for deployment in grid-scale energy storage due to higher safety and lower cost when compared to lithium-ion batteries. However, currently studied cathode materials suffer from capacity fade when cycling at rates appropriate for grid-scale applications ($<$ C/2). To address the present limitation on cathode material availability, more than 2000 previously synthesized
oxides, chalcogenides, Prussian blue analogues, and polyanion materials were computationally screened for the discovery of highly stable RAZIB cathode materials. The structural, electrochemical, and chemical properties of the materials were respectively evaluated through an investigation of the available Zn$^{2+}$ percolation paths, the stability of the material in aqueous media under RAZIB operation conditions, and the attained transition metal oxidation state during cycling. The transition metal oxidation state and intercalating ion coordination environment were determined to govern the magnitude of the calculated Zn$^{2+}$ intercalation potential, with this finding guiding the development of batteries with high operation voltages. 12 materials previously unexplored as cathodes for RAZIBs were identified to have promising operational properties as cathodes, such as high Zn$^{2+}$ (de)intercalation potential, electrochemical stability, theoretical gravimetric capacity, and energy density. Finally, $\alpha$-FePO$_{4}$ was experimentally tested as a RAZIB cathode, with a main redox peak observed from cyclic voltammetry matching previous results for amorphous FePO$_{4}$ as a cathode for RAZIB. However, the subpar charge storage performance highlights the necessity of further experimental investigations. Overall, the materials identified in this study present a guide for the experimental development of stable next-generation cathode materials for RAZIBs.
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All authors Caio Miranda Miliante, Yuzhen Deng, Brian D. Adams, Drew Higgins, Oleg Rubel
Disordered Systems and Neural Networks · Cross-listed from hep-th
Excited String States and D-branes from Infinite Width Neural Networks
Dmitry S. Ageev and Yulia A. Ageeva
We explore recent proposal to represent worldsheet string path integrals by integrating over parameters of a wide random-feature neural network whose output is identified with the
embedding field $X^\mu$. In this paper we extend it focusing on scattering with excited states insertions and for worldsheets with boundaries introducing fixed-feature Gaussian normal-ordering prescription for derivative composites (removing the neural contact term at finite width), and propose realization of mixed Neumann/Dirichlet boundary conditions interpreted as a neural D$p$-brane. As concrete outputs, we derive the sphere four-point integrand with a single $(1,1)$ insertion and the disk four-tachyon amplitude on a D$p$-brane, recovering the expected derivative prefactors, boundary exponents, and momentum-conservation limits after renormalization.
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Disordered Systems and Neural Networks · Cross-listed from cs.LG
Neural Network Quantum Field Theory from Transformer Architectures
Dmitry S. Ageev and Yulia A. Ageeva
We propose a neural-network construction of Euclidean scalar
quantum field theories from
transformer attention heads, defining $n$-point correlators by averaging over random network parameters in the NN-QFT framework. For a single
attention head, shared random softmax weights couple different width coordinates and induce non-Gaussian field statistics that persist in the infinite-width limit $d_k\to\infty$. We compute the two-point function in an
attention-weight representation and show how Euclidean-invariant kernels can be engineered via random-feature
token embeddings. We then analyze the connected four-point function and identify an "independence-breaking" contribution, expressible as a covariance over query-key weights, which remains finite at infinite width. Finally, we show that summing many independent heads with standard $1/N_h$ normalization suppresses connected non-Gaussian correlators as $1/N_h$, yielding a Gaussian NN-QFT in the large-head limit.
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Strongly Correlated Electrons
A web of exact mappings from RK models to spin chains
Gurkirat Singh and Inti Sodemann
We study Rokhsar-Kivelson (RK) dimer and
spin ice models realizing $U(1)$-
lattice gauge theories in a wide class of quasi-one-dimensional settings, which define a setup for the study of few
quantum strings (closed electric field lines) interacting with themselves and each other. We discover a large collection of mappings of these models onto three
quantum chains: the
spin-1/2 XXZ chain, a
spin-1 chain, and a kinetically constrained
fermion chain whose configurations are best described in terms of tilings of a rectangular strip. We show that the twist of boundary conditions in the chains maps onto the transverse momentum of the electric field string, and their Drude weight to the inverse of the string mass per unit length. We numerically determine the phase diagrams for these
spin chains, employing DMRG simulations and find global similarities but also many interesting new features in comparison to the full 2D problems. For example, the
spin-1 chain we obtain features a continuous family of degenerate ground states at its RK point analogous to a Bloch sphere, but without an underlying microscopic global $SU(2)$
symmetry. We also argue for the existence of a (stable) Landau-forbidden gapless critical point away from the RK point in one of the models we study using bosonization and numerics. This is surprising given that the full 2D problem is generically gapped away from the RK point. The same model also displays extensively many local conserved quantities which fragment the
Hilbert space, arising as a consequence of destructive resonances between the electric field lines. Our findings highlight
spin-chain mappings as a potent technique for the exploration of unusual dynamics, exotic criticality, and low-energy physics in
lattice gauge theories.
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Statistical Mechanics · Cross-listed from hep-th
Disturbing news about the $d=2+\epsilon$ expansion II. Assessing the recombination scenario
Fabiana De Cesare and Slava Rychkov
In [De Cesare, Rychkov (2025)], we revisited the $d=2+\epsilon$ expansion in the $O(N)$ Non-Linear Sigma Model (NLSM), emphasizing the existence of a protected operator which is a closed form with $N-1$ indices. The scaling dimension of this operator stays exactly equal to $N-1$, independently of $\epsilon$. Its existence is problematic for the identification of the NLSM fixed point in $d=2+\epsilon$ with the Wilson-Fisher fixed point family obtained by analytically continuing from near $d=4$, which does not possess such a protected operator. Multiplet recombination is one scenario discussed in [De Cesare, Rychkov (2025)], which could allow to connect the two families continuously (although not analytically). In this scenario, the protected dimension is lifted at some critical value of $\epsilon$, thanks to the short conformal multiplet of scaling dimension $N-1$ eating a long conformal multiplet of higher scaling dimension. In this followup work, we assess this scenario for the cases $N=3$ and $N=4$. We identify the lowest candidates for the long multiplet which could be eaten, and compute their one-loop anomalous dimensions. We find that at one loop, scaling dimensions of these candidates grow with $\epsilon$, while it should decrease down to $N$ for the recombination to occur. We conclude that multiplet recombination is unlikely.
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