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We study how conservation laws shape the spreading of quantum coherence in many-body dynamics. Focusing on $U(1)$-symmetric random circuits, charge-and-dipole conserving circuits, as well as ergodic Hamiltonian dynamics, we probe coherences…

Quantum Physics · Physics 2026-04-28 Sreemayee Aditya , Emanuele Tirrito , Piotr Sierant , Xhek Turkeshi

Recovering properties of correlation functions is typically challenging. On one hand, experimentally, it requires measurements with a temporal resolution finer than the system's dynamics. On the other hand, analytical or numerical analysis…

Quantum Physics · Physics 2025-07-14 Wojciech Górecki , Simone Felicetti , Lorenzo Maccone , Roberto Di Candia

The second law of thermodynamics states that for a thermally isolated system entropy never decreases. Most physical processes we observe in nature involve variations of macroscopic quantities over spatial and temporal scales much larger…

High Energy Physics - Theory · Physics 2017-02-20 Paolo Glorioso , Hong Liu

The relaxation of out-of-time-ordered correlators (OTOCs) has been studied as a mean to characterize the scrambling properties of a quantum system. We show that the presence of local conserved quantities typically results in, at the…

Statistical Mechanics · Physics 2021-09-22 Vinitha Balachandran , Giuliano Benenti , Giulio Casati , Dario Poletti

The confinement of elementary excitations induces distinctive features in the non-equilibrium quench dynamics. One of the most remarkable is the suppression of entanglement entropy which in several instances turns out to oscillate rather…

Statistical Mechanics · Physics 2022-03-17 Stefano Scopa , Pasquale Calabrese , Alvise Bastianello

A reasonable physical intuition in the study of interacting quantum systems says that, independent of the initial state, the system will tend to equilibrate. In this work we study a setting where relaxation to a steady state is exact,…

Statistical Mechanics · Physics 2009-11-13 M. Cramer , C. M. Dawson , J. Eisert , T. J. Osborne

We study numerically and analytically isolated interacting quantum systems that are taken out of equilibrium instantaneously (quenched). The probability of finding the initial state in time, the so-called fidelity, decays fastest for…

Statistical Mechanics · Physics 2014-06-09 E. J. Torres-Herrera , Manan Vyas , Lea F. Santos

We establish a setting - atoms in optical superlattices with period 2 - in which one can experimentally probe signatures of the process of local relaxation and apparent thermalization in non-equilibrium dynamics without the need of…

Statistical Mechanics · Physics 2009-11-13 M. Cramer , A. Flesch , I. P. McCulloch , U. Schollwoeck , J. Eisert

The long-time dynamics of quantum systems, typically, but not always, results in a thermal steady state. The microscopic processes that lead to or circumvent this fate are of interest, since everyday experience tells us that not all spatial…

Statistical Mechanics · Physics 2024-05-13 Ken K. W. Ma , Hitesh J. Changlani

Two generically different but universal dynamical quantum many-body behaviors are discovered by probing the stability of trapped fragmented bosonic systems with strong repulsive finite/long range inter-particle interactions. We use…

Quantum Gases · Physics 2014-10-21 Oksana I. Streltsova , Ofir E. Alon , Lorenz S. Cederbaum , Alexej I. Streltsov

We study quantum coarse-grained entropy and demonstrate that the gap in entropy between local and global coarse-grainings is a natural generalization of entanglement entropy to mixed states and multipartite systems. This "quantum…

Quantum Physics · Physics 2020-12-02 Joseph Schindler , Dominik Šafránek , Anthony Aguirre

Recent years have seen an enormously revived interest in the study of thermodynamic notions in the quantum regime. This applies both to the study of notions of work extraction in thermal machines in the quantum regime, as well as to…

Quantum Physics · Physics 2016-12-28 M. Perarnau-Llobet , A. Riera , R. Gallego , H. Wilming , J. Eisert

According to the second law of thermodynamics the total entropy of a system is increased during almost any dynamical process. The positivity of the specific heat implies that the entropy increase is associated with heating. This is…

Statistical Mechanics · Physics 2015-06-11 Luca D'Alessio , Anatoli Polkovnikov

The behavior near the singularity of an isotropic, homogeneous cosmological model with a viscous fluid source is investigated. This turns out to be a relaxation dominated regime. Full extended irreversible thermodynamics is used, and…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Luis P. Chimento , Alejandro S. Jakubi

The transition between many-body localized states and the delocalized thermal states is an eigen-state phase transition at finite energy density outside the scope of conventional quantum statistical mechanics. In this work we investigate…

Strongly Correlated Electrons · Physics 2019-08-13 Wei Zhang , Ziqiang Wang

One of the outstanding problems in non-equilibrium physics is to precisely understand when and how physically relevant observables in many-body systems equilibrate under unitary time evolution. General equilibration results show that…

Quantum Physics · Physics 2020-02-18 Henrik Wilming , Marcel Goihl , Ingo Roth , Jens Eisert

This colloquium gives an overview of recent theoretical and experimental progress in the area of nonequilibrium dynamics of isolated quantum systems. We particularly focus on quantum quenches: the temporal evolution following a sudden or…

Statistical Mechanics · Physics 2011-09-29 Anatoli Polkovnikov , Krishnendu Sengupta , Alessandro Silva , Mukund Vengalattore

Understanding how complex entanglement structures emerge is a central problem in quantum many-body physics. Recent work by Zhang et al. has considered structured initial states prepared by evolving a product state under a chaotic…

Quantum Physics · Physics 2026-05-21 Chen Xu , Pengfei Zhang

At large scales of space and time, the nonequilibrium dynamics of local observables in extensive many-body systems is well described by hydrodynamics. At the Euler scale, one assumes that each mesoscopic region independently reaches a state…

Statistical Mechanics · Physics 2023-07-26 Benjamin Doyon , Gabriele Perfetto , Tomohiro Sasamoto , Takato Yoshimura

Physical interactions in quantum many-body systems are typically local: Individual constituents interact mainly with their few nearest neighbors. This locality of interactions is inherited by a decay of correlation functions, but also…

Quantum Physics · Physics 2011-01-06 J. Eisert , M. Cramer , M. B. Plenio
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