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Relaxation to a thermal state is the inevitable fate of non-equilibrium interacting quantum systems without special conservation laws. While thermalization in one-dimensional (1D) systems can often be suppressed by integrability mechanisms,…

Quantum Physics · Physics 2020-07-01 A. A. Michailidis , C. J. Turner , Z. Papić , D. A. Abanin , M. Serbyn

Understanding various phenomena in non-equilibrium dynamics of closed quantum many-body systems, such as quantum thermalization, information scrambling, and nonergodic dynamics, is a crucial for modern physics. Using a ladder-type…

Simulating strongly-correlated quantum many-body systems at finite temperatures is a significant challenge in computational physics. In this work, we present a scalable finite-temperature tensor network algorithm for two-dimensional quantum…

Strongly Correlated Electrons · Physics 2024-09-10 Meng Zhang , Hao Zhang , Chao Wang , Lixin He

We study the static and dynamical properties of isolated many-body quantum systems and compare them with the results for full random matrices. In doing so, we link concepts from quantum information theory with those from quantum chaos. In…

Statistical Mechanics · Physics 2016-10-19 E. J. Torres-Herrera , Jonathan Karp , Marco Távora , Lea F. Santos

Understanding the collective behavior of a quantum many-body system, a system composed of a large number of interacting microscopic degrees of freedom, is a key aspect in many areas of contemporary physics. However, as a direct consequence…

Quantum Physics · Physics 2011-09-27 Glen Evenbly

Eigenstates of quantum many-body systems are often used to define phases of matter in and out of equilibrium; however, experimentally accessing highly excited eigenstates is a challenging task, calling for alternative strategies to…

Disordered Systems and Neural Networks · Physics 2025-06-18 Pietro Brighi , Marko Ljubotina , Maksym Serbyn

Relaxation of few-body quantum systems can strongly depend on the initial state when the system's semiclassical phase space is mixed, i.e., regions of chaotic motion coexist with regular islands. In recent years, there has been much effort…

Quantum Physics · Physics 2020-03-05 A. A. Michailidis , C. J. Turner , Z. Papić , D. A. Abanin , M. Serbyn

Quantum many-body scarring (QMBS) has emerged as an intriguing paradigm of weak ergodicity breaking in nonintegrable quantum many-body models, particularly lattice gauge theories (LGTs) in $1+1$ spacetime dimensions. However, an open…

Quantum Gases · Physics 2024-03-29 Jesse Osborne , Ian P. McCulloch , Jad C. Halimeh

Quantum entanglement is commonly assumed to be a central resource for quantum computing and quantum simulation. Nonetheless, the capability to detect it in many-body systems is severely limited by the absence of sufficiently scalable and…

Quantum Physics · Physics 2022-03-17 Irénée Frérot , Flavio Baccari , Antonio Acín

We face the problem of detecting and featuring footprints of quantum criticality in the finite-temperature behavior of quantum many-body systems. Our strategy is that of comparing the phase diagram of a system displaying a T=0 quantum phase…

Statistical Mechanics · Physics 2007-08-09 Alessandro Cuccoli , Alessio Taiti , Ruggero Vaia , Paola Verrucchi

We study the eigenstate properties of a nonintegrable spin chain that was recently realized experimentally in a Rydberg-atom quantum simulator. In the experiment, long-lived coherent many-body oscillations were observed only when the system…

Strongly Correlated Electrons · Physics 2019-12-04 Thomas Iadecola , Michael Schecter , Shenglong Xu

The resemblance between the methods used in quantum-many body physics and in machine learning has drawn considerable attention. In particular, tensor networks (TNs) and deep learning architectures bear striking similarities to the extent…

Machine Learning · Statistics 2019-08-05 Ding Liu , Shi-Ju Ran , Peter Wittek , Cheng Peng , Raul Blázquez García , Gang Su , Maciej Lewenstein

The study of thermalization and its breakdown in isolated systems has led to a deeper understanding of non-equilibrium quantum states and their dependence on initial conditions. The role of initial conditions is prominently highlighted by…

Strongly Correlated Electrons · Physics 2024-09-30 Ronald Melendrez , Bhaskar Mukherjee , Prakash Sharma , Arijeet Pal , Hitesh J. Changlani

It is argued that a typical many body energy eigenstate has a well defined thermodynamic entropy and that individual eigenstates possess thermodynamic characteristics analogous to those of generic isolated systems. We examine large systems…

Statistical Mechanics · Physics 2015-05-14 J. M. Deutsch

Motivated by recent experiments realizing long-lived non-equilibrium states in aperiodically driven quantum many-body systems, we investigate the dynamics of a quasiperiodically driven Rydberg atom chain in the strong Rydberg blockage…

Quantum Gases · Physics 2025-06-10 Pinaki Dutta , Sayan Choudhury , Vishwanath Shukla

Deep neural networks have demonstrated remarkable efficacy in extracting meaningful representations from complex datasets. This has propelled representation learning as a compelling area of research across diverse fields. One interesting…

Quantum Physics · Physics 2024-05-28 Philipp Schmidt , Florian Marquardt , Naeimeh Mohseni

We study the dynamics and thermalization of the Fredkin spin chain, a system with local three-body interactions, particle conservation and explicit kinetic constraints. We consider deformations away from its stochastic point in order to…

Statistical Mechanics · Physics 2024-11-05 Luke Causer , Mari Carmen Bañuls , Juan P. Garrahan

Many-body localization, the persistence against electron-electron interactions of the localization of states with non-zero excitation energy density, poses a challenge to current methods of theoretical and numerical analysis. Numerical…

Disordered Systems and Neural Networks · Physics 2014-11-06 Bela Bauer , Chetan Nayak

Thermalization of an isolated quantum system has been a nontrivial problem since the early days of quantum mechanics. In generic isolated quantum systems, nonequilibrium dynamics is expected to result in thermalization, indicating the…

Quantum Physics · Physics 2024-04-22 Tanmay Saha , Pratik Ghosal , Pratapaditya Bej , Abhishek Banerjee , Prasenjit Deb

An interacting quantum system that is subject to disorder may cease to thermalize due to localization of its constituents, thereby marking the breakdown of thermodynamics. The key to our understanding of this phenomenon lies in the system's…

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