English
Related papers

Related papers: Fundamental relation between entropy production an…

200 papers

We define and analyse the concept of entanglement production during the evolution of a general quantum mechanical dissipative system. While it is important to minimise entropy production in order to achieve thermodynamical efficiency,…

Quantum Physics · Physics 2007-06-22 V. Vedral

Considering a kicked rotor coupled to a model heat bath both the classical and quantum entropy productions are calculated exactly. Starting with an initial wave packet, the von Neuman entropy as a function of time is determined from the…

Quantum Physics · Physics 2009-11-07 Sankhasubhra Nag , Avijit Lahiri , Gautam Ghosh

The thermodynamics of quantum phase transitions has long been a rich area of research, providing numerous insights and enhancing our understanding of this important phenomenon. This theoretical framework has been well-developed specially…

Quantum Physics · Physics 2024-12-05 Andesson B. Nascimento , Lucas C. Céleri

Recently, the fundamental laws of thermodynamics have been reconsidered for small systems. The discovery of the fluctuation relations has spurred theoretical and experimental studies on thermodynamics of systems with few degrees of freedom.…

Statistical Mechanics · Physics 2021-08-10 J. V. Koski , T. Sagawa , O. -P. Saira , Y. Yoon , A. Kutvonen , P. Solinas , M. Möttönen , T. Ala-Nissila , J. P. Pekola

We introduce a natural way of visualizing the entropy production in heat transfer processes between a system and a thermal reservoir. This representation is particularly useful to highlight the asymmetric character of the heating and…

Statistical Mechanics · Physics 2023-09-07 Andrés Vallejo

When a quantum system is coupled to several heat baths at different temperatures, it eventually reaches a non-equilibrium steady state featuring stationary internal heat currents. These currents imply that entropy is continually being…

Physical systems that power motion and create structure in a fixed amount of time dissipate energy and produce entropy. Whether living or synthetic, systems performing these dynamic functions must balance dissipation and speed. Here, we…

Statistical Mechanics · Physics 2020-12-18 Schuyler B. Nicholson , Luis Pedro Garcia-Pintos , Adolfo del Campo , Jason R. Green

In the theory of open quantum systems interaction is a fundamental concepts in the review of the dynamics of open quantum systems. Correlation, both classical and quantum one, is generated due to interaction between system and environment.…

Quantum Physics · Physics 2016-06-22 S. Salimi , S. Haseli , A. S. Khorashad

We show that for an open quantum system which is classically chaotic (a quartic double well with harmonic driving coupled to a sea of harmonic oscillators) the rate of entropy production has, as a function of time, two relevant regimes: For…

Quantum Physics · Physics 2016-09-08 Diana Monteoliva , Juan Pablo Paz

For discrete-time stochastic processes, there is a close connection between return/waiting times and entropy. Such a connection cannot be straightforwardly extended to the continuous-time setting. Contrarily to the discrete-time case one…

Probability · Mathematics 2007-05-23 Jean-Rene Chazottes , Cristian Giardina , Frank Redig

In this work, we investigate the relation between the concept of ``information rate'', an information geometric method for measuring the speed of the time evolution of the statistical states of a stochastic process, and stochastic…

Statistical Mechanics · Physics 2023-03-29 Adrian-Josue Guel-Cortez , Eun-jin Kim

We provide a characterization of energy in the form of exchanged heat and work between two interacting constituents of a closed, bipartite, correlated quantum system. By defining a binding energy we derive a consistent quantum formulation…

Quantum Physics · Physics 2016-10-25 S. Alipour , F. Benatti , F. Bakhshinezhad , M. Afsary , S. Marcantoni , A. T. Rezakhani

Using the stochastic thermodynamics, we determine the entropy production and the dynamic heat capacity of systems subject to a sinusoidally time dependent temperature, in which case the systems are permanently out of thermodynamic…

Statistical Mechanics · Physics 2019-06-26 Carlos E. Fiore , Mário J. de Oliveira

We investigate how to coherently define entropy production for a process of transient relaxation in the Quantum Brownian Motion model for harmonic potential. We compare a form, called "Poised" (P), which after non-Markovian transients…

Statistical Mechanics · Physics 2015-06-11 Lorenzo Pucci , Massimiliano Esposito , Luca Peliti

We derive universal thermodynamic inequalities that bound from below the moments of first-passage times of stochastic currents in nonequilibrium stationary states of Markov jump processes in the limit where the thresholds that define the…

Statistical Mechanics · Physics 2025-02-03 Izaak Neri

We consider a finite chain of non-linear oscillators coupled at its ends to two infinite heat baths which are at different temperatures. Using our earlier results about the existence of a stationary state, we show rigorously that for…

chao-dyn · Physics 2015-06-24 Jean-Pierre Eckmann , Claude-Alain Pillet , Luc Rey-Bellet

Thermodynamic force and irreversible current are the foundational concepts of classical nonequilibrium thermodynamics. Entropy production rate is provided by their product in classical systems, ranging from mesoscopic to macroscopic…

Statistical Mechanics · Physics 2025-04-29 Kohei Yoshimura , Yoh Maekawa , Ryuna Nagayama , Sosuke Ito

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 recent letter [Phys. Rev. Lett {\bf 121}, 070601 (2018), arXiv:1802.06554], the speed limit for classical stochastic Markov processes is considered, and a trade-off inequality between the speed of the state transformation and the entropy…

Statistical Mechanics · Physics 2018-11-20 Yunxin Zhang

We study the multiple definitions of the entropy production for discrete-time Markov processes in single systems and composite systems. These definitions have been studied in single systems, but less so in composite systems. With a clear…

Statistical Mechanics · Physics 2025-05-30 Masanao Igarashi