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Classical thermodynamics is unrivalled in its range of applications and relevance to everyday life. It enables a description of complex systems, made up of microscopic particles, in terms of a small number of macroscopic quantities, such as…

Quantum Physics · Physics 2016-01-13 James Millen , André Xuereb

We study quantum conditional entropy production, which quantifies the irreversibility of system-environment evolution from the perspective of a third system, called the reference. The reference is initially correlated with the system. We…

Quantum Physics · Physics 2022-08-01 Kun Zhang , Xuanhua Wang , Qian Zeng , Jin Wang

All previously derived thermodynamic fluctuation theorems (FTs) that concern multiple co-evolving systems have required that each system can only change its state during an associated pre-fixed, limited set of time intervals. However, in…

Statistical Mechanics · Physics 2021-04-16 David H. Wolpert

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

We identify several phases of thermalization that describe regimes of behavior in isolated, periodically driven (Floquet), mesoscopic quantum chaotic systems. We also identify a new Floquet thermal ensemble -- the ladder ensemble -- that is…

Statistical Mechanics · Physics 2023-11-21 Alan Morningstar , David A. Huse , Vedika Khemani

The laws of thermodynamics are a cornerstone for describing nanoscale and open quantum systems. However, formulating these laws for systems under continuous feedback control and under experimentally relevant conditions is challenging. In…

Quantum Physics · Physics 2025-05-23 Kacper Prech , Joël Aschwanden , Patrick P. Potts

A quantum engine with n qubits performing thermodynamic cycles with two thermal reservoirs is presented. While such constructions have been aplenty, here we show the existence of what we term as "limit cycle" at a purely quantum level of…

Quantum Physics · Physics 2024-12-05 Debadrito Roy , Sudhir Ranjan Jain

We establish a stochastic thermodynamics for a Fermionic level driven by a time-dependent force and interacting with initially thermalized levels playing the role of a reservoir. The driving induces consecutive avoided crossings between…

Statistical Mechanics · Physics 2016-06-22 Felipe Barra , Massimiliano Esposito

In 1965 Jaynes provided an intuitively simple proof of the 2nd law of thermodynamics as a general requirement for any macroscopic transition to be experimentally reproducible. His proof was based on Boltzmann's formula S = klnW and the…

Statistical Mechanics · Physics 2011-07-07 Roderick C Dewar , Amos Maritan

We address the emergence of entropy production in the non-equilibrium process of an open quantum system from the viewpoint of the environment. By making use of a dilation-based approach akin to Stinespring theorem, we derive an expression…

We have developed a thermodynamic theory in the non-equilibrium regime, which we describe as a thermodynamic system-bath model [S. Koyanagi and Y. Tanimura, J. Chem. Phys. \textbf{160}, 234112 (2024)]. Based on the dimensionless (DL)…

Statistical Mechanics · Physics 2024-09-24 Shoki Koyanagi , Yoshitaka Tanimura

The second law of thermodynamics can be expressed in terms of entropy production, which can be used to quantify the degree of irreversibility of a process. In this Chapter, we consider the standard scenario of open quantum systems, where a…

Quantum Physics · Physics 2025-01-31 Giorgio Zicari , Barış Çakmak , Mauro Paternostro

With the help of time-dependent scattering theory on the observable algebra of infinitely extended quasifree fermionic chains, we introduce a general class of so-called right mover/left mover states which are inspired by the nonequilibrium…

Mathematical Physics · Physics 2021-03-08 Walter H. Aschbacher

Quantum thermodynamics aims at investigating both the emergence and the limits of the laws of thermodynamics from a quantum mechanical microscopic approach. In this scenario, thermodynamic processes with no heat exchange, namely, adiabatic…

We use a canonical quantization procedure to set up a quantum Fokker-Planck-Kramers equation that accounts for quantum dissipation in a thermal environment. The dissipation term is chosen to ensure that the thermodynamic equilibrium is…

Statistical Mechanics · Physics 2016-08-24 Mario J. de Oliveira

In Markovian dynamics with the local detailed balance condition, we decompose the total entropy production rate into microscopic transitions. By applying this decomposition to the heat to work conversion process, we rigorously show that the…

Statistical Mechanics · Physics 2016-05-04 Naoto Shiraishi , Keiji Saito

Nonlinear classical dissipative systems present a rich phenomenology in their "route to chaos", including period-doubling, i.e. the system evolves with a period which is twice that of the driving. However, typically the attractor of a…

Quantum Physics · Physics 2018-02-07 Reuben R. W. Wang , Bo Xing , Gabriel G. Carlo , Dario Poletti

Motivated by the notion that the mathematics of gravity can be reproduced from a statistical requirement of maximal entropy, we study the consequence of introducing an entropic source term in the Einstein-Hilbert action. For a spatially…

General Relativity and Quantum Cosmology · Physics 2024-03-20 Soumya Chakrabarti

We consider a recently proposed model of driven open quantum microcircuit [F. Pellegrini et al., Phys. Rev. Lett. 107, 060401 (2011)] amenable to experimental investigations. We show that such an open quantum system provides a concrete…

Quantum Physics · Physics 2014-09-08 G. Argentieri , F. Benatti , R. Floreanini , M. Pezzutto

We study the thermodynamics of open systems weakly driven out-of-equilibrium by nonconservative and time-dependent forces using the linear regime of stochastic thermodynamics. We make use of conservation laws to identify the potential and…

Statistical Mechanics · Physics 2022-10-13 Danilo Forastiere , Riccardo Rao , Massimiliano Esposito