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This work extends the results of the recently developed theory of a rather complete thermodynamic formalism for discrete-state, continuous-time Markov processes with and without detailed balance. We aim at investigating the question that…

Statistical Mechanics · Physics 2011-05-30 Moises Santillan , Hong Qian

Quantum Thermodynamics is a continuous dialogue between two independent theories: Thermodynamics and Quantum Mechanics. Whenever the two theories addressed the same phenomena new insight has emerged. We follow the dialogue from equilibrium…

Quantum Physics · Physics 2018-06-04 Robert Alicki , Ronnie Kosloff

Statistical thermodynamics of small systems shows dramatic differences from normal systems. Parallel to the recently presented steady-state thermodynamic formalism for master equation and Fokker-Planck equation, we show that a…

Mathematical Physics · Physics 2020-04-01 Liangrong Peng , Hong Qian , Liu Hong

It is argued that a typical many body energy eigenstate has a well defined thermodynamic entropy and that individual eigenstates possess thermodynamic characteristics analogous to those of generic isolated systems. We examine large systems…

Statistical Mechanics · Physics 2015-05-14 J. M. Deutsch

In systems with detailed balance, the stationary distribution and the equilibrium distribution are identical, creating a clear connection between energetic and entropic quantities. Many driven systems violate detailed balance and still pose…

Statistical Mechanics · Physics 2025-01-22 Markus Hofer , Jan Korbel , Rudolf Hanel , Stefan Thurner

Quantum thermodynamics has emerged as a central field for understanding how energy conversion processes occur in microscopic systems. In these systems, effects such as coherence, entanglement, and non-Markovianity play key roles. In this…

Quantum Physics · Physics 2025-12-02 J. M. Z. Choquehuanca

Thermodynamic relations are derived from first principles of mechanics for non-equilibrium processes. Since the key role herein is played by the law of increase of entropy, the latter is analyzed at first. It is shown that its derivation…

chao-dyn · Physics 2008-02-03 J. Kumicak , X. de Hemptinne

This article sets up a formalism to describe stochastic thermodynamics for driven out-of-equilibrium open quantum systems. A stochastic Schr\"odinger equation allows to construct quantum trajectories describing the dynamics of the system…

Statistical Mechanics · Physics 2016-10-17 Cyril Elouard , Alexia Auffèves , Maxime Clusel

For a single enzyme or molecular motor operating in an aqueous solution of non-equilibrated solute concentrations, a thermodynamic description is developed on the level of an individual trajectory of transitions between states. The concept…

Statistical Mechanics · Physics 2012-05-21 Udo Seifert

Building on parallels between geometric quantum mechanics and classical mechanics, we explore an alternative basis for quantum thermodynamics that exploits the differential geometry of the underlying state space. We develop both…

Quantum Physics · Physics 2024-03-13 Fabio Anza , James P. Crutchfield

We present a thermodynamic theory of the Kovacs effect based on the idea that the configurational degrees of freedom of a glass-forming material are driven out of equilibrium with the heat bath by irreversible thermal contraction and…

Materials Science · Physics 2016-12-14 Eran Bouchbinder , J. S. Langer

We present a consistent thermodynamic theory for the resonant level model in the wide band limit, whose level energy is driven slowly by an external force. The problem of defining 'system' and 'bath' in the strong coupling regime is…

Mesoscale and Nanoscale Physics · Physics 2017-05-05 Anton Bruch , Mark Thomas , Silvia Viola Kusminskiy , Felix von Oppen , Abraham Nitzan

The thermodynamics of quantum systems coupled to periodically modulated heat baths and work reservoirs is developed. By identifying affinities and fluxes, the first and second law are formulated consistently. In the linear response regime,…

Statistical Mechanics · Physics 2016-06-29 Kay Brandner , Udo Seifert

We study the energy exchange between two bosonic systems that interact via bilinear transformations in the mode operators. The first mode is considered as the thermodynamic system, while the second is regarded as the bath. This work finds…

Quantum Physics · Physics 2020-06-23 Chiara Macchiavello , Alberto Riccardi , Massimiliano F. Sacchi

The ideas of thermodynamics have proved fruitful in the setting of quantum information theory, in particular the notion that when the allowed transformations of a system are restricted, certain states of the system become useful resources…

A new microcanonical equilibrium state is introduced for quantum systems with finite-dimensional state spaces. Equilibrium is characterised by a uniform distribution on a level surface of the expectation value of the Hamiltonian. The…

Quantum Physics · Physics 2007-10-25 Dorje C. Brody , Daniel W. Hook , Lane P. Hughston

Several prior attempts to formulate the Laws of Thermodynamics for a small region within a larger quantum system have led to inconsistencies and unexplained infinities. The entropy and external work, in particular, require careful analysis…

Quantum Physics · Physics 2025-06-26 Parth Kumar , Charles A. Stafford

We extend on ideas from standard thermodynamics to show that temperature can be assigned to a general nonequilibrium quantum system. By choosing a physically motivated complete set of observables and expanding the system state thereupon,…

Quantum Physics · Physics 2021-05-26 S. Alipour , F. Benatti , M. Afsary , F. Bakhshinezhad , M. Ramezani , T. Ala-Nissila , A. T. Rezakhani

The time evolution of an extended quantum system can be theoretically described in terms of the Schwinger-Keldysh functional integral formalism, whose action conveniently encodes the information about the dynamics. We show here that the…

Statistical Mechanics · Physics 2015-11-11 L. M. Sieberer , A. Chiocchetta , A. Gambassi , U. C. Täuber , S. Diehl

The proper definition of entropy is fundamental to the relationship between statistical mechanics and thermodynamics. It also plays a major role in the recent debate about the validity of the concept of negative temperature. In this paper,…

Statistical Mechanics · Physics 2015-11-18 Robert H. Swendsen
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