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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

Fluctuations of thermodynamic quantities become non-negligible and play an important role when the system size is small. We develop finite-time thermodynamics of fluctuations in microscopic heat engines whose environmental temperature and…

Statistical Mechanics · Physics 2022-02-16 Gentaro Watanabe , Yuki Minami

Nonequilibrium dynamics of an isolated quantum spin chain with long-range Ising interactions that decay as $1/r^\alpha$ ($0<\alpha<1$) with the distance $r$ is studied. It turns out that long-range interactions give rise to a big timescale…

Statistical Mechanics · Physics 2019-05-22 Takashi Mori

Many experimentally relevant systems are quasi-one-dimensional, consisting of nearly decoupled chains. In these systems, there is a natural separation of scales between the strong intra-chain interactions and the weak interchain coupling.…

Quantum Gases · Physics 2023-02-21 Miłosz Panfil , Sarang Gopalakrishnan , Robert M. Konik

Quantum systems are typically characterized by the inherent fluctuation of their physical observables. Despite this fundamental importance, the investigation of the fluctuations in interacting quantum systems at finite temperature continues…

We derive a necessary and sufficient condition for the thermalization of a local observable in a closed quantum system which offers an alternative explanation, independent of the eigenstate thermalization hypothesis, for the thermalization…

Statistical Mechanics · Physics 2014-04-11 J. Sirker , N. P. Konstantinidis , F. Andraschko , N. Sedlmayr

Fluctuation theorems are a generalization of thermodynamics on small scales and provide the tools to characterize the fluctuations of thermodynamic quantities in non-equilibrium nanoscale systems. They are particularly important for…

Statistical Mechanics · Physics 2014-04-03 Jan Gieseler , Romain Quidant , Christoph Dellago , Lukas Novotny

We consider a system of two coupled oscillators one of which is driven parametrically and investigate both classical and quantum dynamics within Floquet description. Characteristic changes in the time evolution of the quantum fluctuations…

Quantum Physics · Physics 2020-08-27 Sayak Biswas , S. Sinha

We consider two non-interacting infinite quantum spin chains immersed in a common thermal environment and undergoing a local dissipative dynamics of Lindblad type. We study the time evolution of collective mesoscopic quantum spin…

Quantum Physics · Physics 2016-07-12 Fabio Benatti , Federico Carollo , Roberto Floreanini

We consider a discrete quantum system coupled to a finite bath, which may consist of only one particle, in contrast to the standard baths which usually consist of continua of oscillators, spins, etc. We find that such finite baths may…

Quantum Physics · Physics 2007-05-23 Jochen Gemmer , Mathias Michel

It is analytically shown that the asymptotic correlations in exactly solvable models following a quantum quench can behave essentially as thermal correlations provided the entanglement between two eigenmodes is sufficiently strong. We…

Statistical Mechanics · Physics 2015-06-04 Ming-Chiang Chung , Anibal Iucci , Miguel. A. Cazalilla

We study whether a generic isolated quantum system initially set out of equilibrium can be considered as localized close to its initial state. Our approach considers the time evolution in the Krylov basis, which maps the dynamics onto that…

Quantum Physics · Physics 2024-03-22 Youssef Aziz Alaoui , Bruno Laburthe-Tolra

We study the fluctuations of subsystem entropies in closed quantum many-body systems after thermalization. Using a combination of analytics and numerics for both random quantum circuits and Hamiltonian dynamics, we find that the statistics…

Quantum Physics · Physics 2022-02-17 Jordan Cotler , Nicholas Hunter-Jones , Daniel Ranard

The interplay between quantum and thermal fluctuations in the presence of quenched random disorder is a long-standing open theoretical problem which has been made more urgent by advances in modern experimental techniques. The fragility of…

Strongly Correlated Electrons · Physics 2025-01-28 Matthew C. O'Brien , Eduardo Fradkin

The understanding of the emergence of equilibrium statistical mechanics has progressed significantly thanks to developments from typicality, canonical and dynamical, and from the eigenstate thermalization hypothesis. Here we focus on a…

Statistical Mechanics · Physics 2022-05-11 Xiansong Xu , Chu Guo , Dario Poletti

Simulated annealing provides a heuristic solution to combinatorial optimization problems. The cost function of a problem is mapped onto the energy function of a physical many-body system, and, by using thermal or quantum fluctuations, the…

Statistical Mechanics · Physics 2025-12-05 Yoshiaki Horiike , Yuki Kawaguchi

In this work we investigate the late-time stationary states of open quantum systems coupled to a thermal reservoir in the strong coupling regime. In general such systems do not necessarily relax to a Boltzmann distribution if the coupling…

Statistical Mechanics · Physics 2013-01-15 Y. Subasi , C. H. Fleming , J. M. Taylor , B. L. Hu

We investigate the possibility of characterizing the different thermalization pathways through a large-deviation approach. Specifically, we consider clean, disordered and quasi-periodic harmonic chains under energy and momentum-conserving…

Statistical Mechanics · Physics 2024-08-21 Stefano Lepri

A bipartite system whose subsystems are fully quantum chaotic and coupled by a perturbative interaction with a tunable strength is a paradigmatic model for investigating how isolated quantum systems relax towards an equilibrium. It is found…

With a modulated oscillator, we study several effects of quantum fluctuations far from thermal equilibrium. One of them is quantum heating, where quantum fluctuations lead to a finite-width distribution of a resonantly modulated oscillator…

Mesoscale and Nanoscale Physics · Physics 2017-09-15 Vittorio Peano , M I Dykman