scholarly journals Out-of-equilibrium states and quasi-many-body localization in polar lattice gases

2015 ◽  
Vol 92 (18) ◽  
Author(s):  
L. Barbiero ◽  
C. Menotti ◽  
A. Recati ◽  
L. Santos
Keyword(s):  
Equilibrium States ◽  
Lattice Gases ◽  
Many Body ◽  
Polar Lattice

scholarly journals Boltzmann generators: Sampling equilibrium states of many-body systems with deep learning

Science ◽  
2019 ◽  
Vol 365 (6457) ◽  
pp. eaaw1147 ◽  
Author(s):  
Frank Noé ◽  
Simon Olsson ◽  
Jonas Köhler ◽  
Hao Wu
Keyword(s):  
Molecular Dynamics ◽  
Deep Learning ◽  
Statistical Mechanics ◽  
Equilibrium Distribution ◽  
Condensed Matter ◽  
Computational Effort ◽  
Equilibrium States ◽  
Many Body ◽  
Reaction Coordinates ◽  
Many Body Systems

Computing equilibrium states in condensed-matter many-body systems, such as solvated proteins, is a long-standing challenge. Lacking methods for generating statistically independent equilibrium samples in “one shot,” vast computational effort is invested for simulating these systems in small steps, e.g., using molecular dynamics. Combining deep learning and statistical mechanics, we developed Boltzmann generators, which are shown to generate unbiased one-shot equilibrium samples of representative condensed-matter systems and proteins. Boltzmann generators use neural networks to learn a coordinate transformation of the complex configurational equilibrium distribution to a distribution that can be easily sampled. Accurate computation of free-energy differences and discovery of new configurations are demonstrated, providing a statistical mechanics tool that can avoid rare events during sampling without prior knowledge of reaction coordinates.

scholarly journals Emergence of stationary many-body entanglement in driven-dissipative Rydberg lattice gases

2015 ◽  
Vol 17 (11) ◽  
pp. 113053 ◽  
Author(s):  
Sun Kyung Lee ◽  
Jaeyoon Cho ◽  
K S Choi
Keyword(s):  
Lattice Gases ◽  
Many Body

scholarly journals Hilbert Space Shattering and Disorder-Free Localization in Polar Lattice Gases

2021 ◽  
Vol 127 (26) ◽  
Author(s):  
Wei-Han Li ◽  
Xiaolong Deng ◽  
Luis Santos
Keyword(s):  
Hilbert Space ◽  
Lattice Gases ◽  
Polar Lattice

Hydrodynamics

2021 ◽  
pp. 49-66
Author(s):  
Robert W. Batterman
Keyword(s):  
Correlation Functions ◽  
Linear Response ◽  
Order Parameters ◽  
Equilibrium States ◽  
Conserved Quantities ◽  
Many Body ◽  
Hydrodynamic Description ◽  
Relative Autonomy ◽  
Many Body Systems ◽  
The Continuum

This chapter begins the argument that the best way to understand the relations of relative autonomy between theories at different scales is through a mesoscale hydrodynamic description of many-body systems. It focuses on the evolution of conserved quantities of those systems in near, but out of equilibrium states. A relatively simple example is presented of a system of spins where the magnetization is the conserved quantity of interest. The chapter introduces the concepts of order parameters, of local quantities, and explains why we should be focused on the gradients of densities that inhabit the mesoscale between the scale of the continuum and that of the atomic. It introduces the importance of correlation functions and linear response.

Biased lattice gases with correlated equilibrium states

1992 ◽  
Vol 68 (3-4) ◽  
pp. 431-455 ◽  
Author(s):  
H. J. Bussemaker ◽  
M. H. Ernst
Keyword(s):  
Equilibrium States ◽  
Lattice Gases ◽  
Correlated Equilibrium

scholarly journals Random matrix theory of the isospectral twirling

2021 ◽  
Vol 10 (3) ◽  
Author(s):  
Salvatore Francesco Emanuele Oliviero ◽  
Lorenzo Leone ◽  
Francesco Caravelli ◽  
Alioscia Hamma
Keyword(s):  
Mutual Information ◽  
Random Matrix Theory ◽  
Random Matrix ◽  
Quantum Dynamics ◽  
Matrix Theory ◽  
Probability Distributions ◽  
Equilibrium States ◽  
Many Body ◽  
Many Body Systems ◽  
Integrable Dynamics

We present a systematic construction of probes into the dynamics of isospectral ensembles of Hamiltonians by the notion of Isospectral twirling, expanding the scopes and methods of ref. [1]. The relevant ensembles of Hamiltonians are those defined by salient spectral probability distributions. The Gaussian Unitary Ensembles (GUE) describes a class of quantum chaotic Hamiltonians, while spectra corresponding to the Poisson and Gaussian Diagonal Ensemble (GDE) describe non chaotic, integrable dynamics. We compute the Isospectral twirling of several classes of important quantities in the analysis of quantum many-body systems: Frame potentials, Loschmidt Echos, OTOCs, Entanglement, Tripartite mutual information, coherence, distance to equilibrium states, work in quantum batteries and extension to CP-maps. Moreover, we perform averages in these ensembles by random matrix theory and show how these quantities clearly separate chaotic quantum dynamics from non chaotic ones.

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