A framework maps Boltzmann-weighted lattice configurations to correlated random matrix ensembles via real-space to momentum-space variance profiles, deriving spectral moments and resolvent densities benchmarked on Ising and Edwards-Anderson models.
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In a driven-dissipative photon gas, critical slowing of fluctuations and susceptibility to perturbations both peak at the same population size, governed by one collective mode with peak gain set by system size.
Order-parameter fluctuations after symmetry-breaking quenches in Ising models above a lower critical dimension collapse onto a universal curve explained by a new dynamical critical exponent.
Divide-and-conquer QAOA samples and Hamming-weight-conditioned neural network surrogates accelerate MCMC mixing for constrained Ising problems by average factors of 20.3 and 7.6 over classical pair-flip baselines.
Derives area-perimeter dynamical equations for domain-wall loops and shows quantized relaxation rates of spontaneous magnetization with discrete jumps at loop collapses or interactions.
Direct numerical simulations confirm that the Lutsko-Dufty theory for nonequilibrium long-range correlations holds quantitatively across viscous to shear-dominated regimes, and the one-loop Forster-Nelson-Stephen renormalization group prediction for anomalous transport remains accurate even in the強く
citing papers explorer
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Random Matrix Spectra from Boltzmann-Weighted Lattice Ensembles
A framework maps Boltzmann-weighted lattice configurations to correlated random matrix ensembles via real-space to momentum-space variance profiles, deriving spectral moments and resolvent densities benchmarked on Ising and Edwards-Anderson models.
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Giant critical response in a driven-dissipative quantum gas
In a driven-dissipative photon gas, critical slowing of fluctuations and susceptibility to perturbations both peak at the same population size, governed by one collective mode with peak gain set by system size.
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Universal Symmetry-Breaking Dynamics at Continuous Phase Transitions: Evidence for a New Dynamical Critical Exponent
Order-parameter fluctuations after symmetry-breaking quenches in Ising models above a lower critical dimension collapse onto a universal curve explained by a new dynamical critical exponent.
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Divide-and-Conquer Neural Network Surrogates for Quantum Sampling: Accelerating Markov Chain Monte Carlo in Large-Scale Constrained Optimization Problems
Divide-and-conquer QAOA samples and Hamming-weight-conditioned neural network surrogates accelerate MCMC mixing for constrained Ising problems by average factors of 20.3 and 7.6 over classical pair-flip baselines.
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Geometric flow of planar domain-wall loops
Derives area-perimeter dynamical equations for domain-wall loops and shows quantized relaxation rates of spontaneous magnetization with discrete jumps at loop collapses or interactions.
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Quantitative analysis of fluctuating hydrodynamics in uniform shear flow
Direct numerical simulations confirm that the Lutsko-Dufty theory for nonequilibrium long-range correlations holds quantitatively across viscous to shear-dominated regimes, and the one-loop Forster-Nelson-Stephen renormalization group prediction for anomalous transport remains accurate even in the強く