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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

Macroscopic many-body systems always exhibit irreversible behaviors together with the entropy increase. However, the underlying microscopic dynamics of the many-body system, either the (quantum) von Neumann or (classical) Liouville…

Statistical Mechanics · Physics 2019-02-04 Sheng-Wen Li

We consider the generic model of a finite-size quantum electron system connected to two (temperature and particle) reservoirs. The quantum open system is driven out of equilibrium by the presence of both a temperature and a chemical…

Statistical Mechanics · Physics 2017-04-04 H. Ness

We develop a martingale theory to describe fluctuations of entropy production for open quantum systems in nonequilbrium steady states. Using the formalism of quantum jump trajectories, we identify a decomposition of entropy production into…

Quantum Physics · Physics 2019-06-12 Gonzalo Manzano , Rosario Fazio , Édgar Roldán

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 consider a protocol for the two-time measurement of entropic observables in quantum open systems driven out of thermal equilibrium by coupling to several heat baths. We concentrate on the Markovian approximation of the time-evolution and…

Mathematical Physics · Physics 2024-12-04 A. Joye , C. -A. Pillet

We investigate the entropic consequences of the relaxation of an open two-level quantum system towards a thermalised statistical state, using a framework of quantum state diffusion with a minimal set of raising and lowering Lindblad…

Quantum Physics · Physics 2023-03-08 Jonathan Dexter , Ian J. Ford

In finite-dimensional quantum systems, temperature cannot be uniquely defined. This, in turn, implies that there are several ways to define entropy production in finite-dimensional quantum systems, because the classical entropy production…

Quantum Physics · Physics 2026-02-03 Tomohiro Nishiyama , Yoshihiko Hasegawa

We investigate the dynamics of ergotropy in open systems under Markovian and non-Markovian evolutions. In this scenario, we begin by formulating the ergotropy of an arbitrary qubit state in terms of energy and coherence. Thus, we determine…

Quantum Physics · Physics 2024-05-28 J. M. Z. Choquehuanca , P. A. C. Obando , F. M. de Paula , M. S. Sarandy

In thermodynamics, entropy production and work quantify irreversibility and the consumption of useful energy, respectively, when a system is driven out of equilibrium. For quantum systems, these quantities can be identified at the…

Entropy, and its temporal evolution, play a central role in the foundations of quantum theory and in modern quantum technologies. Here we study, in particular, the relations between the --- in general, non-Markovian --- evolution of an open…

Quantum Physics · Physics 2018-09-18 Paolo Aniello , Joonwoo Bae , Dariusz Chruscinski

We consider the Prandtl-Tomlinson model in the case of a constant driving force and in the presence of thermal fluctuations. We show that the system dynamics is well reproduced by a simplified description obtained through a Markov process,…

Statistical Mechanics · Physics 2023-11-07 Dario Lucente , Alberto Petri , Angelo Vulpiani

We derive a thermodynamic uncertainty relation for general open quantum dynamics, described by a joint unitary evolution on a composite system comprising a system and an environment. By measuring the environmental state after the…

Statistical Mechanics · Physics 2021-01-06 Yoshihiko Hasegawa

We first propose and study a quantum toy model of black hole dynamics. The model is unitary, displays quantum thermalization, and the Hamiltonian couples every oscillator with every other, a feature intended to emulate the color sector…

High Energy Physics - Theory · Physics 2016-12-21 Javier M. Magan

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

The probability distribution of the total entropy production in the non-equilibrium steady state follows a symmetry relation called the fluctuation theorem. When a certain part of the system is masked or hidden, it is difficult to infer the…

Statistical Mechanics · Physics 2020-04-29 Deepak Gupta , Sanjib Sabhapandit

The reduced density matrix that characterises the state of an open quantum system is a projection from the full density matrix of the quantum system and its environment, and there are many full density matrices consistent with a given…

Quantum Physics · Physics 2024-11-28 Claudia L. Clarke , Ian J. Ford

Simulations are performed of a small quantum system interacting with a quantum environment. The system consists of various initial states of two harmonic oscillators coupled to give normal modes. The environment is "designed" by its level…

Statistical Mechanics · Physics 2015-06-15 George L. Barnes , Michael E. Kellman

We derive geometrical bounds on the irreversibility in both quantum and classical Markovian open systems that satisfy the detailed balance condition. Using information geometry, we prove that irreversible entropy production is bounded from…

Statistical Mechanics · Physics 2021-01-05 Tan Van Vu , Yoshihiko Hasegawa

The thermodynamic and kinetic uncertainty relations indicate trade-offs between the relative fluctuation of observables and thermodynamic quantities such as dissipation and dynamical activity. Although these relations have been well studied…

Statistical Mechanics · Physics 2022-04-12 Tan Van Vu , Keiji Saito