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We prove the second law of thermodynamics and the nonequilibirum fluctuation theorem for pure quantum states.The entire system obeys reversible unitary dynamics, where the initial state of the heat bath is not the canonical distribution but…

Statistical Mechanics · Physics 2017-09-13 Eiki Iyoda , Kazuya Kaneko , Takahiro Sagawa

This review provides a brief and quick introduction to the quantum Langevin equation for an oscillator, while focusing on the steady-state thermodynamic aspects. A derivation of the quantum Langevin equation is carefully outlined based on…

Statistical Mechanics · Physics 2024-07-19 Aritra Ghosh , Malay Bandyopadhyay , Sushanta Dattagupta , Shamik Gupta

Within a microscopic theory, we study the quantum Brownian motion of a skyrmion in a magnetic insulator coupled to a bath of magnon-like quantum excitations. The intrinsic skyrmion-bath coupling gives rise to damping terms for the skyrmion…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 Christina Psaroudaki , Pavel Aseev , Daniel Loss

We study the influence of entanglement on the relation between the statistical entropy of an open quantum system and the heat exchanged with a low temperature environment. A model of quantum Brownian motion of the Caldeira-Leggett type -…

Statistical Mechanics · Physics 2009-11-10 Christian Hoerhammer , Helmut Buettner

As an application of the classically decayable correlation in a quantum chaos system maintained over an extremely long time-scale (Matsui et al, Europhys.Lett. 113(2016),40008), we propose a minimal model of quantum damper composed of a…

Statistical Mechanics · Physics 2018-07-20 Fumihiro Matsui , Hiroaki S. Yamada , Kensuke S. Ikeda

Quantum thermodynamics supplies a consistent description of quantum heat engines and refrigerators up to the level of a single few level system coupled to the environment. Once the environment is split into three;a hot, cold and work…

Quantum Physics · Physics 2015-04-17 Ronnie Kosloff , Amikam Levy

We analyze the behavior of a network of quantum oscillators coupled with a number of external environments. We show that the dynamics is such that the quantum state of the network always obeys a local master equation with a simple…

Quantum Physics · Physics 2015-06-05 Esteban A. Martinez , Juan Pablo Paz

Experimentalists have come to temperatures very close to absolute zero at which physics that was once ordinary becomes extraordinary. In such a regime quantum effects and fluctuations start to play a dominant role. In this context we study…

Statistical Mechanics · Physics 2021-03-25 J. Spiechowicz , J. Łuczka

Brownian motors, i.e. devices able to produce useful work out of thermal forces with the help of other unbiased forces, provide an ideal benchmark for the investigation of quantum dissipative systems, for two reasons. First, the interaction…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Peguiron

Accurately describing work extraction from a quantum system is a central objective for the extension of thermodynamics to individual quantum systems. The concepts of work and heat are surprisingly subtle when generalizations are made to…

Quantum Physics · Physics 2015-03-30 Felix C. Binder , Sai Vinjanampathy , Kavan Modi , John Goold

The motion of a free quantum particle in a thermal environment is usually described by the quantum Langevin equation, where the effect of the bath is encoded through a dissipative and a noise term, related to each other via the fluctuation…

Statistical Mechanics · Physics 2020-12-16 Avijit Das , Abhishek Dhar , Ion Santra , Urbashi Satpathi , Supurna Sinha

Quantum thermodynamics addresses the emergence of thermodynamical laws from quantum mechanics. The link is based on the intimate connection of quantum thermodynamics with the theory of open quantum systems. Quantum mechanics inserts…

Quantum Physics · Physics 2015-06-24 Ronnie Kosloff

A major part of the many thermally driven processes in our natural environment as well as in engineering solutions of Carnot-type machinery is based on the second law of thermodynamics (or principle of entropy increase). An interesting link…

General Physics · Physics 2010-09-29 Hans R. Moser

We consider a question motivated by the third law of thermodynamics: can there be a local temperature arbitrarily close to absolute zero in a nonequilibrium quantum system? We consider nanoscale quantum conductors with the source reservoir…

Mesoscale and Nanoscale Physics · Physics 2016-03-01 Abhay Shastry , Charles A. Stafford

We investigate a mean-field approach to a quantum brownian particle interacting with a quantum thermal bath at temperature $T$, and subjected to a non-linear potential. An exact, partially classical description of quantum brownian motion is…

Statistical Mechanics · Physics 2009-11-07 A. E. Allahverdyan , R. Balian , Th. M. Nieuwenhuizen

We illustrate recent results concerning the validity of the work fluctuation theorem in open quantum systems [M. Campisi, P. Talkner, and P. H\"{a}nggi, Phys. Rev. Lett. {\bf 102}, 210401 (2009)], by applying them to a solvable model of an…

Statistical Mechanics · Physics 2009-09-14 Michele Campisi , Peter Talkner , Peter Hänggi

In this paper, we discuss some aspects of the energetics of a quantum Brownian particle placed in a harmonic trap, also known as the dissipative quantum oscillator. Based on the fluctuation-dissipation theorem, we analyze two distinct…

Quantum Physics · Physics 2023-10-06 Aritra Ghosh , Jasleen Kaur , Malay Bandyopadhyay

Quantum systems strongly coupled to many-body systems equilibrate to the reduced state of a global thermal state, deviating from the local thermal state of the system as it occurs in the weak-coupling limit. Taking this insight as a…

Quantum Physics · Physics 2018-03-28 M. Perarnau-Llobet , H. Wilming , A. Riera , R. Gallego , J. Eisert

The dissipative dynamics of a quantum Brownian particle is studied for different types of environment. We derive analytic results for the time evolution of the mean energy of the system for Ohmic, sub-Ohmic and super-Ohmic environments,…

Quantum Physics · Physics 2010-01-28 J. Paavola , J. Piilo , K. -A. Suominen , S. Maniscalco

We study the behavior of a subsystem (harmonic oscillator) in contact with a thermal reservoir (finite set of uncoupled harmonic oscillators). We exactly solve the eigenvalue problem and obtain the temporal evolution of the dynamical…

Quantum Physics · Physics 2007-05-23 Fabian H. Gaioli , Edgardo T. Garcia Alvarez , Javier Guevara