In the high-dimensional limit the spherical Boltzmann machine admits exact equations for training dynamics, Bayesian evidence, and cascades of phase transitions tied to mode alignment with data, which connect to generative phenomena including double descent and out-of-equilibrium biases.
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Coherent-state propagation enables quasi-polynomial classical simulation of bosonic circuits with logarithmically many Kerr gates at exponentially small trace-distance error, with polynomial runtime in the weak-nonlinearity regime.
Experimental observation of coexisting extended, localized, and critical states in a quasiperiodic Floquet-modulated orbital optical lattice using ultracold atoms.
Introduces a TAP-motivated framework and constructs explicit parameter-free spectral algorithms that achieve strong detection and weak recovery thresholds in three canonical correlated two-view models with matching lower bounds.
Neural ODEs reproduce 2RDM dynamics from data only when three-particle cumulant correlations are strong, mapping the validity regime of cumulant expansions.
k-local quantum Hamiltonians admit system-size-independent spectral gap for Gibbs samplers at high temperature, enabling FPT quantum approximation algorithms for partition functions.
At special drive frequencies, the leading perturbative Floquet Hamiltonian of a driven Rydberg chain maps to the XXZ model, producing emergent prethermal integrability confirmed by level statistics and entanglement in exact diagonalization.
Double-scaled fermionic and bosonic embedded ensembles are equivalent to double-scaled complex SYK and solvable via the Wick product of non-commuting Gaussian random variables, yielding a duality to the chord Hilbert space.
Quantum thermalization occurs in chaotic and integrable regimes of a multispecies Bose-Josephson junction, with quantum scars remaining athermal in the chaotic regime.
Quantum systems reach a Maximal Entanglement Limit where entanglement geometry produces thermal reduced density matrices and probabilistic behavior in statistical and high-energy physics.
Microcanonical free cumulants of central-system observables scale universally with system-bath interaction strength in closed setups, connecting to thermalization dynamics.
Energy eigenstates in SU(2)-symmetric quantum many-body systems obey a KMS relation whose finite-size correction scales as usual or polynomially larger depending on circumstances, supported by numerics on small Heisenberg chains.
In the fully chaotic regime of the kicked top, long-time freeness is reached exponentially fast, accompanied by a hierarchy of time scales indicating a multifractal approach.
A framework detects chaos via divergence of speed-Fisher information under slow driving, controlled by low-frequency spectral weight and tied to entropy production, applying to classical, quantum, and non-Hamiltonian systems.
Polfed.jl provides an efficient implementation of polynomially filtered Lanczos diagonalization for mid-spectrum eigenpairs in quantum many-body systems, supporting larger sizes via on-the-fly polynomial transformations and GPU acceleration.
In the long-range Haldane-Shastry model, pristine Poisson level statistics emerge only with combined position disorder and random magnetic fields, with an approximate scaling collapse governed by the product αδ when SU(2) symmetry is broken.
Thermalization after a quench in the Hubbard-Holstein model occurs via sharp fronts in real time and DMFT iteration space, with electron fronts appearing earlier than phonon fronts at weak coupling.
In the disorder-free SYK model, off-diagonal matrix elements of operators built from n≥4 Majorana fermions follow a generalized inverse Gaussian distribution.
Authors characterize the MBL crossover via many-body quantum metric and localization parameter, extracting a localization length from wavefunction spread measurable by the metric.
A review that contrasts common assumptions about the Lindblad equation with refined expectations drawn from examples, culminating in a checklist for assessing its breakdown.
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.
citing papers explorer
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Spherical Boltzmann machines: a solvable theory of learning and generation in energy-based models
In the high-dimensional limit the spherical Boltzmann machine admits exact equations for training dynamics, Bayesian evidence, and cascades of phase transitions tied to mode alignment with data, which connect to generative phenomena including double descent and out-of-equilibrium biases.
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Coherent-State Propagation: A Computational Framework for Simulating Bosonic Quantum Systems
Coherent-state propagation enables quasi-polynomial classical simulation of bosonic circuits with logarithmically many Kerr gates at exponentially small trace-distance error, with polynomial runtime in the weak-nonlinearity regime.
-
Observation of a tripartite quantum phase for coexisting extended, localized, and critical states
Experimental observation of coexisting extended, localized, and critical states in a quasiperiodic Floquet-modulated orbital optical lattice using ultracold atoms.
-
Optimal Spectral Algorithms for Correlated Two-view Models in High Dimensions
Introduces a TAP-motivated framework and constructs explicit parameter-free spectral algorithms that achieve strong detection and weak recovery thresholds in three canonical correlated two-view models with matching lower bounds.
-
Capturing reduced-order quantum many-body dynamics out of equilibrium via neural ordinary differential equations
Neural ODEs reproduce 2RDM dynamics from data only when three-particle cumulant correlations are strong, mapping the validity regime of cumulant expansions.
-
Fast mixing of all-to-all quantum systems at high temperatures
k-local quantum Hamiltonians admit system-size-independent spectral gap for Gibbs samplers at high temperature, enabling FPT quantum approximation algorithms for partition functions.
-
Emergent prethermal Bethe integrability in a periodically driven Rydberg chain
At special drive frequencies, the leading perturbative Floquet Hamiltonian of a driven Rydberg chain maps to the XXZ model, producing emergent prethermal integrability confirmed by level statistics and entanglement in exact diagonalization.
-
Double-scaled bosonic and fermionic embedded ensembles, complex SYK, and the dual Hilbert space
Double-scaled fermionic and bosonic embedded ensembles are equivalent to double-scaled complex SYK and solvable via the Wick product of non-commuting Gaussian random variables, yielding a duality to the chord Hilbert space.
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Quantum Thermalization beyond Non-Integrability and Quantum Scars in a Multispecies Bose-Josephson Junction
Quantum thermalization occurs in chaotic and integrable regimes of a multispecies Bose-Josephson junction, with quantum scars remaining athermal in the chaotic regime.
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The Maximal Entanglement Limit in Statistical and High Energy Physics
Quantum systems reach a Maximal Entanglement Limit where entanglement geometry produces thermal reduced density matrices and probabilistic behavior in statistical and high-energy physics.
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Scaling of free cumulants in closed system-bath setups
Microcanonical free cumulants of central-system observables scale universally with system-bath interaction strength in closed setups, connecting to thermalization dynamics.
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Kubo-Martin-Schwinger relation for energy eigenstates of SU(2)-symmetric quantum many-body systems
Energy eigenstates in SU(2)-symmetric quantum many-body systems obey a KMS relation whose finite-size correction scales as usual or polynomially larger depending on circumstances, supported by numerics on small Heisenberg chains.
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Long-time Freeness in the Kicked Top
In the fully chaotic regime of the kicked top, long-time freeness is reached exponentially fast, accompanied by a hierarchy of time scales indicating a multifractal approach.
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Universal Dynamical Response to Slow Driving in Chaotic Systems
A framework detects chaos via divergence of speed-Fisher information under slow driving, controlled by low-frequency spectral weight and tied to entropy production, applying to classical, quantum, and non-Hamiltonian systems.
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Computing eigenpairs of quantum many-body systems with Polfed.jl
Polfed.jl provides an efficient implementation of polynomially filtered Lanczos diagonalization for mid-spectrum eigenpairs in quantum many-body systems, supporting larger sizes via on-the-fly polynomial transformations and GPU acceleration.
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Level statistics of the disordered Haldane-Shastry model with $1/r^\alpha$ interaction
In the long-range Haldane-Shastry model, pristine Poisson level statistics emerge only with combined position disorder and random magnetic fields, with an approximate scaling collapse governed by the product αδ when SU(2) symmetry is broken.
-
Thermalization Fronts in the Hubbard-Holstein Model
Thermalization after a quench in the Hubbard-Holstein model occurs via sharp fronts in real time and DMFT iteration space, with electron fronts appearing earlier than phonon fronts at weak coupling.
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Statistics of Matrix Elements of Operators in a Disorder-Free SYK model
In the disorder-free SYK model, off-diagonal matrix elements of operators built from n≥4 Majorana fermions follow a generalized inverse Gaussian distribution.
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Characterizing the Many Body Localization Crossover as a Metal-Insulator Transition: Localization length from Polarization and Quantum Metric
Authors characterize the MBL crossover via many-body quantum metric and localization parameter, extracting a localization length from wavefunction spread measurable by the metric.
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Is Lindblad for me?
A review that contrasts common assumptions about the Lindblad equation with refined expectations drawn from examples, culminating in a checklist for assessing its breakdown.
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Krylov Complexity
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.