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We study fluctuation theorems for open quantum systems with a non-Markovian heat bath using the approach of quantum master equations and examine the physical quantities that appear in those fluctuation theorems. The approach of Markovian…

Statistical Mechanics · Physics 2015-05-28 Tatsuro Kawamoto , Naomichi Hatano

Quantum non-Markovianity represents memory during the system dynamics, which is typically weakened by the temperature. We here study the effects of environmental temperature on the non-Markovianity of an open quantum system by virtue of…

Quantum Physics · Physics 2018-06-13 Zhong-Xiao Man , Yun-Jie Xia , Rosario Lo Franco

Tracing out the environmental degrees of freedom is a necessary procedure when simulating open quantum systems. While being an essential step in deriving a tractable master equation it represents a loss of information. In situations where…

Quantum Physics · Physics 2022-11-02 Dominic Gribben , Aidan Strathearn , Gerald E. Fux , Peter Kirton , Brendon W. Lovett

We define the entropy operator as the negative of the logarithm of the density matrix, give a prescription for extracting its thermodynamically measurable part, and discuss its dynamics. For an isolated system we derive the first, second…

Statistical Mechanics · Physics 2016-07-06 E. Solano-Carrillo , A. J. Millis

The total entropy production fluctuations are studied in some exactly solvable models. For these systems, the detailed fluctuation theorem holds even in the transient state, provided initially the system is prepared in thermal equilibrium.…

Statistical Mechanics · Physics 2009-08-08 Arnab Saha , Sourabh Lahiri , A. M. Jayannavar

We discuss inertial effects in systems outside equilibrium within the framework of non-equilibrium thermodynamics. By introducing a Gibbs equation in which the entropy depends on the probability density, we are able to describe a system of…

Statistical Mechanics · Physics 2015-06-25 J. M. Rubi , A. Perez-Madrid

A link between memory effects in quantum kinetic equations and nonequilibrium correlations associated with the energy conservation is investigated. In order that the energy be conserved by an approximate collision integral, the one-particle…

Statistical Mechanics · Physics 2007-05-23 V. G. Morozov , Gerd Ropke

In classical Markov jump processes, current fluctuations can only be reduced at the cost of increased dissipation. To explore how quantum effects influence this trade-off, we analyze the uncertainty of steady-state currents in Markovian…

Statistical Mechanics · Physics 2021-07-09 Paul Menczel , Eetu Loisa , Kay Brandner , Christian Flindt

The interplay of non-classical volume, von Neumann entropy, entropy production, and ergotropy is investigated in various open quantum systems. Two categories of open quantum system models are utilized: spin-spin and spin-boson interaction…

Quantum Physics · Physics 2025-10-20 Jai Lalita , Subhashish Banerjee

In this study, we model a harmonic oscillator that enters an interferometer partially coupled to a thermal bath of oscillatory fields by employing a Brownian-type Lindblad master equation. More specifically, we investigate the dynamics and…

Quantum Physics · Physics 2019-07-02 Ali Soltanmanesh , Afshin Shafiee

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

We introduce a new analytical method for studying the open quantum systems problem of a discrete system weakly coupled to an environment of harmonic oscillators. Our approach is based on a phase space representation of the density matrix…

Quantum Physics · Physics 2015-02-27 Amir Fruchtman , Brendon W. Lovett , Simon C. Benjamin , Erik M. Gauger

Macroscopic nonextensive thermodynamics is studied without recourse to microscopic statistical mechanics. It is shown that if entropy is nonextensive, the concept of physical temperature introduced through the generalized zeroth law of…

Statistical Mechanics · Physics 2007-05-23 Sumiyoshi Abe

Quantum Brownian motion model is a typical model in the study of nonequilibrium quantum thermodynamics. Entropy is one of the most fundamental physical concepts in thermodynamics. In this work, by solving the quantum Langevin equation, we…

Quantum Physics · Physics 2021-08-11 Tian Qiu , H. T. Quan

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

The concept of entropy in nonequilibrium macroscopic systems is investigated in the light of an extended equation of motion for the density matrix obtained in a previous study. It is found that a time-dependent information entropy can be…

Statistical Mechanics · Physics 2009-11-10 W. T. Grandy

The equilibria formed by the self-gravitating, collisionless collapse of simple initial conditions have been investigated for decades. We present the results of our attempts to describe the equilibria formed in $N$-body simulations using…

Astrophysics of Galaxies · Physics 2015-05-27 Eric I. Barnes , Colin P. Egerer

How is it that entropy derivatives almost in their own are characterizing the state of a system close to equilibrium, and what happens further away from it? We explain within the framework of Markov jump processes why fluctuation theory can…

Statistical Mechanics · Physics 2009-08-24 Christian Maes , Karel Netočný , Bram Wynants

Entropy, its production, and its change in a dynamical system can be understood from either a fully stochastic dynamic description or from a deterministic dynamics exhibiting chaotic behavior. By taking the former approach based on the…

Mathematical Physics · Physics 2025-08-26 Hong Qian , Zhongwei Shen

Entropy is generated in high-multiplying events by a dynamical separation of strongly interacting systems into partons and unobservable environment modes (almost constant field configurations) due to confinement.

High Energy Physics - Phenomenology · Physics 2011-08-04 Hans-Thomas Elze