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Using a Krylov-subspace time evolution algorithm, we simulate the real-time dynamics of translation invariant non-integrable finite spin rings to quite long times with high accuracy. We systematically study the finite-size deviation between…

Quantum Physics · Physics 2025-05-26 Ivo A. Maceira , Andreas M. Läuchli

We consider an ordinary differential equation with a unique hyperbolic attractor at the origin, to which we add a small random perturbation. It is known that under general conditions, the solution of this stochastic differential equation…

Probability · Mathematics 2023-05-05 Gerardo Barrera , Milton Jara

We introduce a one-dimensional correlated-hopping model of spinless fermions in which a particle can hop between two neighboring sites only if the sites to the left and right of those two sites have different particle numbers. Using a…

Statistical Mechanics · Physics 2024-07-11 Sreemayee Aditya , Deepak Dhar , Diptiman Sen

We study the probability distribution and the escape rate in systems with delayed dissipation that comes from the coupling to a thermal bath. To logarithmic accuracy in the fluctuation intensity, the problem is reduced to a variational…

Statistical Mechanics · Physics 2015-06-04 M. I. Dykman , I. B. Schwartz

Understanding how closed quantum systems dynamically approach thermal equilibrium presents a major unresolved problem in statistical physics. Generically, non-integrable quantum systems are expected to thermalize as they comply with the…

The spectrally truncated, or finite dimensional, versions of several equations of inviscid flows display transient solutions which match their viscous counterparts, but which eventually lead to thermalized states in which energy is in…

Fluid Dynamics · Physics 2018-04-06 P. Clark di Leoni , P. D. Mininni , M. -E. Brachet

It is expected that a generic closed many-body system prepared in a well-behaved initial state and subjected to a periodic drive will eventually thermalize, i.e. approach the state of maximal entropy. This property, while compatible with…

Statistical Mechanics · Physics 2026-03-17 Anton Kapustin

We study the thermalization properties of one-dimensional open quantum systems coupled to baths at their boundary. The baths are driven to their thermal states via Lindblad operators, while the system undergoes Hamiltonian dynamics. We…

Strongly Correlated Electrons · Physics 2023-08-02 Cristian Zanoci , Yongchan Yoo , Brian Swingle

We investigate the dissipative dynamics of a quantum critical system in contact with a thermal bath. In analogy with the standard protocol employed to analyze aging, we study the response of a system to a sudden change of the bath…

Statistical Mechanics · Physics 2015-05-13 Dario Patanè , Alessandro Silva , Fernando Sols , Luigi Amico

In the study of the thermalization of closed quantum systems, the role of kinetic constraints on the temporal dynamics and the eventual thermalization is attracting significant interest. Kinetic constraints typically lead to long-lived…

Disordered Systems and Neural Networks · Physics 2024-03-29 Karl Royen , Suman Mondal , Frank Pollmann , Fabian Heidrich-Meisner

We consider the thermal behavior of a large number of matrix degrees of freedom in the planar limit. We work in $0+1$ dimensions, with $D$ matrices, and use $1/D$ as an expansion parameter. This can be thought of as a non-commutative…

High Energy Physics - Theory · Physics 2024-12-03 Takanori Anegawa , Norihiro Iizuka , Daniel Kabat

One of the general mechanisms that give rise to the slow cooperative relaxation characteristic of classical glasses is the presence of kinetic constraints in the dynamics. Here we show that dynamical constraints can similarly lead to slow…

Quantum Physics · Physics 2018-07-31 Zhihao Lan , Merlijn van Horssen , Stephen Powell , Juan P. Garrahan

We study the decoherence and thermalization dynamics of a nanoscale system coupled nonperturbatively to a fully quantum-mechanical bath. The system is prepared out of equilibrium in a pure state of the complete system. We propose a random…

Statistical Mechanics · Physics 2013-09-30 S. Genway , A. F. Ho , D. K. K. Lee

We investigate prethermalization by studying the statistical properties of the time-dependent largest Lyapunov exponent $\Lambda(t)$ for unitary-circuit maps upon approaching integrability. We follow the evolution of trajectories for…

Chaotic Dynamics · Physics 2025-01-15 Xiaodong Zhang , Gabriel M. Lando , Barbara Dietz , Sergej Flach

Many phases of matter, including superconductors, fractional quantum Hall fluids and spin liquids, are described by gauge theories with constrained Hilbert spaces. However, thermalization and the applicability of quantum statistical…

Statistical Mechanics · Physics 2016-12-09 A. Chandran , M. D. Schulz , F. J. Burnell

Warm dense matter is a highly energetic phase characterized by strong correlations, thermal effects, and quantum effects of electrons. Thermal density functional theory is commonly used in simulations of this challenging phase, driving the…

Strongly Correlated Electrons · Physics 2025-09-10 Brittany P. Harding , Francisca Sagredo , Vincent Martinetto , Aurora Pribram-Jones

We consider a one-dimensional chain of coupled oscillators in contact at both ends with heat baths at different temperatures, and subject to an external force at one end. The Hamiltonian dynamics in the bulk is perturbed by random exchanges…

Probability · Mathematics 2019-09-12 Tomasz Komorowski , Stefano Olla , Marielle Simon

We study how the proximity to an integrable point or to localization as one approaches the atomic limit, as well as the mixing of symmetries in the chaotic domain, may affect the onset of thermalization in finite one-dimensional systems. We…

Statistical Mechanics · Physics 2013-02-06 Lea F. Santos , Marcos Rigol

Isolated quantum systems typically approach thermal equilibrium as described by the Eigenstate Thermalization Hypothesis (ETH). Going beyond this involves either higher order correlators (full thermalization) or the formation of state…

Quantum Physics · Physics 2026-05-01 Tabea Herrmann , Felix Fritzsch , Arnd Bäcker

We identify the universal mechanism behind the thermalization of (1+1)d QFTs at high and low temperatures. Viewing these theories as CFTs perturbed by relevant or irrelevant deformations, we show that conformal perturbation theory in the…

High Energy Physics - Theory · Physics 2025-07-09 Richard A. Davison , Luca V. Delacretaz
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