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We establish a connection between non-Markovian memory effects and thermodynamical quantities such as work. We show how memory effects can be interpreted as revivals of work that can be extracted from a quantum system. We prove that…

量子物理 · 物理学 2017-01-24 Bogna Bylicka , Mikko Tukiainen , Jyrki Piilo , Dariusz Chruscinski , Sabrina Maniscalco

We relate the information exchange between two stochastic systems to the nonequilibrium entropy production in the whole system. By deriving a general formula that decomposes the total entropy production into the thermodynamic and…

统计力学 · 物理学 2015-06-16 Takahiro Sagawa , Masahito Ueda

We consider a microscopic collision model, i.e., a quantum system interacts with a hierarchical environment consisting of an auxiliary system and a reservoir. We show how the non-Markovian character of the system is influenced by the…

量子物理 · 物理学 2020-10-27 Yong-Wei Li , Lei Li

The two-time measurement scheme is well studied in the context of quantum fluctuation theorem. However, it becomes infeasible when the random variable determined by a single measurement trajectory is associated with the von-Neumann entropy…

量子物理 · 物理学 2023-04-20 Akira Sone , Naoki Yamamoto , Tharon Holdsworth , Prineha Narang

We prove the Jarzynski relation for general stochastic processes including non-Markovian systems with memory. The only requirement for our proof is the existence of a stationary state, therefore excluding non-ergodic systems. We then show…

统计力学 · 物理学 2007-09-27 Thomas Speck , Udo Seifert

The understanding of memory effects arising from the interaction between system and environment is a key for engineering quantum thermodynamic devices beyond the standard Markovian limit. We study the performance of measurement-based…

量子物理 · 物理学 2020-01-14 Obinna Abah , Mauro Paternostro

We investigate the irreversible entropy production of a qubit in contact with an environment modelled by a microscopic collision model both in Markovian and non-Markovian regimes. Our main goal is to contribute to the discussions on the…

量子物理 · 物理学 2022-06-15 Hüseyin T. Şenyaşa , Şahinde Kesgin , Göktuğ Karpat , Barış Çakmak

Exploiting previous results on Markovian dynamics and fluctuation theorems, we study the consequences of memory effects on single realizations of nonequilibrium processes within an open system approach. The entropy production along single…

统计力学 · 物理学 2015-06-12 Bruno Leggio , Anna Napoli , Heinz-Peter Breuer , Antonino Messina

In the global framework of finding an axiomatic derivation of nonequilibrium Statistical Mechanics from fundamental principles, such as the maximum path entropy -- also known as Maximum Caliber principle -- , this work proposes an…

统计力学 · 物理学 2017-06-28 Diego González , Sergio Davis

Non-Markovian dynamics arise when a system is coupled to a bath with finite correlation time, giving rise to memory effects that allow the bath to temporarily store and return excitations. However, how memory modifies irreversibility and…

统计力学 · 物理学 2026-04-29 Ken Funo , Tan Van Vu , Keiji Saito

We combine the formalisms of diagonal entropy and Jarzynski Equality to study the thermodynamic properties of closed quantum systems. Applying this approach to a quantum harmonic oscillator, the diagonal entropy offers a notion of…

量子物理 · 物理学 2013-07-09 Van A. Ngo , Stephan Haas

The nonequilibrium work relation, or Jarzynski equality, establishes a statistical relationship between a series of nonequilibrium experiments on a system subjected to thermal fluctuations and a hypothetical experiment at thermodynamic…

统计力学 · 物理学 2024-11-19 Jean-Luc Garden

The Jarzynski equality, which relates equilibrium free-energy difference to an average of non-equilibrium work, plays a central role in modern non-equilibrium statistical thermodynamics. In this paper, we study a weaker consequence of this…

统计力学 · 物理学 2026-01-06 Dani R. Castellanos , Petr Jizba

A link between memory effects in quantum kinetic equations and nonequilibrium correlations associated with the energy conservation is investigated. In order that the energy be conserved by an approximate collision integral, the one-particle…

统计力学 · 物理学 2007-05-23 V. G. Morozov , Gerd Ropke

The Jarzynski equality allows the calculation of free-energy differences using values of work measured from nonequilibrium trajectories. The number of trajectories required to accurately estimate free-energy differences in this way grows…

统计力学 · 物理学 2025-05-13 Stephen Whitelam

The theory of phenomenological Non-equilibrium Thermodynamics is extended by includimg stochastic processes in order to account for recently derived thermodynamical relations such as the Jarzynski equality. Four phenomenological axioms are…

混沌动力学 · 物理学 2016-07-20 Wolfgang Muschik

The developing field of stochastic thermodynamics extends concepts of macroscopic thermodynamics such as entropy production and work to the microscopic level of individual trajectories taken by a system through phase space. The scheme…

统计力学 · 物理学 2022-06-30 Cillian Cockrell , Ian J Ford

The Jarzynski equality is generalized to situations in which nonequilibrium systems are subject to a feedback control. The new terms that arise as a consequence of the feedback describe the mutual information content obtained by measurement…

统计力学 · 物理学 2015-05-13 Takahiro Sagawa , Masahito Ueda

Non-Markovian dynamics is central to quantum information processing, as memory effects strongly influence coherence preservation, metrology, and communication. In this work, we investigate the role of stochastic system--bath couplings in…

量子物理 · 物理学 2025-09-17 Mehboob Rashid , Rayees A Mala , Saima Bashir , Muzaffar Qadir Lone

The classical Jarzynski equality establishes an exact relation between the stochastic work performed on a system driven out of thermal equilibrium and the free energy difference in a corresponding quasi-static process. This fluctuation…

量子物理 · 物理学 2025-08-21 Konstantin Beyer , Walter T. Strunz
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