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Quantum work fluctuation theorem (FT) commonly requires the system initially prepared in an equilibrium state. Whether there exists universal exact quantum work FT for initial state beyond equilibrium needs further discussions. Here, I…

Statistical Mechanics · Physics 2024-01-12 Bao-Ming Xu

An expression is derived for the classical free energy difference between two configurations of a system, in terms of an ensemble of finite-time measurements of the work performed in parametrically switching from one configuration to the…

Statistical Mechanics · Physics 2009-10-28 C. Jarzynski

In a generalized framework for the Landauer erasure protocol, we study bounds on the heat dissipated in typical nonequilibrium quantum processes. In contrast to thermodynamic processes, quantum fluctuations are not suppressed in the…

Quantum Physics · Physics 2018-05-16 Philip Taranto , Kavan Modi , Felix A. Pollock

We consider a situation where an $N$-level system (NLS) is coupled successively to two heat baths with different temperatures without being necessarily thermalized and approaches a steady state. For this situation we apply a general…

Statistical Mechanics · Physics 2021-08-09 Heinz-Jürgen Schmidt , Jochen Gemmer

We show the existence of an entangled nonequilibrium state at very high temperatures when two linearly coupled harmonic oscillators are parametrically driven and dissipate into two independent heat baths. This result has a twofold meaning:…

Quantum Physics · Physics 2010-11-02 Fernando Galve , Leonardo A. Pachon , David Zueco

When a small dynamical system that is initially in contact with a heat bath is detached from this heat bath and then caused to undergo a quasi-static adiabatic processes, the statistical distribution of the system's energy differs from that…

Statistical Mechanics · Physics 2007-05-23 K. Sato , K. Sekimoto , T. Hondou , F. Takagi

Nonequilibrium systems exchange the energy with an environment in the form of work and heat. The work done on a system obeys the fluctuation theorem, while the dissipated heat which differs from the work by the internal energy change does…

Statistical Mechanics · Physics 2014-02-04 Jae Dong Noh

The usual paradigm of open quantum systems falls short when the environment is actually coupled to additional fields or components that drive it out of equilibrium. Here we explore the simplest such scenario, by considering a two level…

Quantum Physics · Physics 2020-09-08 Andreu Anglés-Castillo , Mari Carmen Bañuls , Armando Pérez , Inés De Vega

We derive a general quantum exchange fluctuation theorem for multipartite systems with arbitrary coupling strengths by taking into account the informational contribution of the back-action of the quantum measurements, which contributes to…

Quantum Physics · Physics 2023-07-18 Akira Sone , Diogo O. Soares-Pinto , Sebastian Deffner

Steady nonequilibria dissipate energy and, when changing external parameters, an extra or excess heat accompanies the relaxation to the new nonequilibrium condition. For nonequilibrium systems in contact with a thermal bath, the heat…

Statistical Mechanics · Physics 2025-07-22 Lander Bogers , Faezeh Khodabandehlou , Christian Maes

Deriving the laws of thermodynamics from a microscopic picture is a central quest of statistical mechanics. This tutorial focuses on the derivation of the first and second law for closed and open quantum systems far from equilibrium, where…

Quantum Physics · Physics 2021-08-31 Philipp Strasberg , Andreas Winter

The energy conversion efficiency of far-from-equilibrium systems is generally limited by irreversible thermodynamic fluxes that make contact with different heat baths. For complex systems, the states of the maximum efficiency and the…

Quantum Physics · Physics 2019-04-09 Shanhe Su , Wei Shen , Jianying Du , Jincan Chen

We consider a situation where an $N$-level system (NLS) is coupled to a heat bath without being necessarily thermalized. For this situation we derive general Jarzinski-type equations and conclude that heat and entropy is flowing from the…

Quantum Physics · Physics 2021-08-25 Heinz-Jürgen Schmidt , Jürgen Schnack , Jochen Gemmer

Landauer's erasure principle exposes an intrinsic relation between thermodynamics and information theory: the erasure of information stored in a system, S, requires an amount of work proportional to the entropy of that system. This entropy,…

Quantum Physics · Physics 2011-06-28 Lídia del Rio , Johan Aberg , Renato Renner , Oscar Dahlsten , Vlatko Vedral

The clean world of digital information is based on noisy physical devices. Landauer's principle provides a deep connection between information processing and the underlying thermodynamics by setting a lower limit on the energy consumption…

We consider a single harmonic oscillator coupled to a bath at zero temperature. As is well known, the oscillator then has a higher average energy than that given by its ground state. Here we show analytically that for a damping model with…

Quantum Physics · Physics 2009-11-13 ILki Kim , Guenter Mahler

The generalized zeroth law of thermodynamics indicates that the physical temperature in nonextensive statistical mechanics is different from the inverse of the Lagrange multiplier, beta. This leads to modifications of some of thermodynamic…

Statistical Mechanics · Physics 2009-10-31 Sumiyoshi Abe , S. Martinez , F. Pennini , A. Plastino

A recent result, relating the (irreversible) work performed on a system during a non-quasistatic process, to the Helmholtz free energy difference between two equilibrium states of the system, is discussed. A proof of this result is given…

Statistical Mechanics · Physics 2007-05-23 C. Jarzynski

Landauer's Principle relates entropy decrease and heat dissipation during logically irreversible processes. Most theoretical justifications of Landauer's Principle either use thermodynamic reasoning or rely on specific models based on…

Quantum Physics · Physics 2014-10-14 David Reeb , Michael M. Wolf

Temperature uncertainty of a quantum system in canonical ensemble is inversely determined by its energy fluctuation, which is known as the temperature-energy uncertainty relation. No such uncertainty relation was discovered for a…

Quantum Physics · Physics 2022-05-03 Ning Zhang , Si-Yuan Bai , Chong Chen