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Non-Hermitian Hamiltonians possessing a discrete real spectrum motivated a remarkable research activity in quantum physics and new insights have emerged. In this paper we formulate concepts of statistical thermodynamics for systems…

Quantum Physics · Physics 2020-03-18 Natália Bebiano , João da Providência , João P. da Providência

This topical review article gives an overview of the interplay between quantum information theory and thermodynamics of quantum systems. We focus on several trending topics including the foundations of statistical mechanics, resource…

Quantum Physics · Physics 2016-08-29 John Goold , Marcus Huber , Arnau Riera , Lídia del Rio , Paul Skrzypczyk

Traditional thermodynamics governs the behaviour of large systems that evolve between states of thermal equilibrium. For these large systems, the mean values of thermodynamic quantities (such as work, heat and entropy) provide a good…

Statistical Mechanics · Physics 2019-05-01 Andrew J. P. Garner

We reveal that non-Hermitian Hamiltonians with nonreciprocal coupling can achieve amplification of initial states without external gain due to a kind of inherent source. We discuss the source and its effect on time evolution in terms of…

Quantum Physics · Physics 2025-12-19 Jung-Wan Ryu

We establish uncertainty relations between information loss in general open quantum systems and the amount of non-ergodicity of the corresponding dynamics. The relations hold for arbitrary quantum systems interacting with an arbitrary…

Quantum Physics · Physics 2018-03-20 Natasha Awasthi , Samyadeb Bhattacharya , Aditi Sen De , Ujjwal Sen

Entropy might be a not well defined concept if the system can undergo transformations involving stationary nonequilibria. It might be analogous to the heat content (once called ``caloric'') in transformations that are not isochoric (i.e.…

Statistical Mechanics · Physics 2007-05-23 Giovanni Gallavotti

Several recent results on thermodynamics have been obtained using the tools of quantum information theory and resource theories. So far, the resource theories utilised to describe thermodynamics have assumed the existence of an infinite…

Quantum Physics · Physics 2017-11-16 Carlo Sparaciari , Jonathan Oppenheim , Tobias Fritz

The theory of noncommutative dynamical entropy and quantum symbolic dynamics for quantum dynamical systems is analised from the point of view of quantum information theory. Using a general quantum dynamical system as a communication channel…

Quantum Physics · Physics 2009-11-07 Robert Alicki

We present a critical examination of the difficulties with the quantum versions of a lifted weight that are widely used as work storage systems in quantum thermodynamics. To overcome those difficulties, we turn to the strong connections…

Quantum Physics · Physics 2019-06-05 Shang-Yung Wang

We study the non-equilibrium thermodynamics of a single particle with two available energy levels, in contact with a classical (Maxwell-Boltzmann) or quantum (Bose-Einstein) heat bath. The particle can undergo transitions between the levels…

Statistical Mechanics · Physics 2015-05-30 Niraj Kumar , Christian Van den Broeck , Massimiliano Esposito , Katja Lindenberg

We establish the fluctuation theorem in the presence of information exchange between a nonequilibrium system and other degrees of freedom such as an observer and a feedback controller, where the amount of information exchange is added to…

Statistical Mechanics · Physics 2015-06-05 Takahiro Sagawa , Masahito Ueda

In this paper, we take a brief look at the advantages and disadvantages of dominant frameworks in consciousness studies -- functionalist and causal structure theories, and use it to motivate a new non-equilibrium thermodynamic framework of…

Artificial Intelligence · Computer Science 2020-05-07 Natesh Ganesh

The statistical properties of physical systems in thermal equilibrium are blatantly different from their far-from-equilibrium counterparts. In the latter, fluctuations often dominate the dynamics and might cluster in ordered patterns in the…

Quantum information engines leverage information as a thermodynamic resource to facilitate energy conversion. In the operation of such engines, the information flow between the working substance and the controller is pivotal, however,…

Statistical Mechanics · Physics 2026-05-26 Hao Feng , Junjie Liu

A fundamental connection between thermodynamics and information theory arises from the fact that correlations exhibit an inherent work value. For noninteracting systems this translates to a work cost for establishing correlations. Here we…

Quantum Physics · Physics 2016-04-27 Nicolai Friis , Marcus Huber , Martí Perarnau-Llobet

Classical thermodynamics is built with the concept of equilibrium states. However, it is less clear how equilibrium thermodynamics emerges through the dynamics that follows the principle of quantum mechanics. In this paper, we develop a…

Quantum Physics · Physics 2018-12-18 Md. Manirul Ali , Wei-Ming Huang , Wei-Min Zhang

Three different approaches to derive mutual information via thermodynamics are presented where the temperature-dependent energy is given by: (a) $\beta \mathcal{E} = -\ln[P(X,Y)]$, (b) $\beta \mathcal{E} =-\ln[P(Y|X)]$ or (c) $\beta…

Statistical Mechanics · Physics 2010-03-24 Yitzhak Peleg , Hadar Efraim , Ori Shental , Ido Kanter

The fundamental question of how information spreads in closed quantum many-body systems is often addressed through the lens of the bipartite entanglement entropy, a quantity that describes correlations in a comprehensive (nonlocal) way.…

Statistical Mechanics · Physics 2023-06-06 Andrea Pizzi , Daniel Malz , Andreas Nunnenkamp , Johannes Knolle

Most non-equilibrium processes in thermodynamics are quantified only by inequalities, however the Jarzynski relation presents a remarkably simple and general equality relating non-equilibrium quantities with the equilibrium free energy, and…

Quantum Physics · Physics 2018-04-04 T. P. Xiong , L. L. Yan , F. Zhou , K. Rehan , D. F. Liang , L. Chen , W. L. Yang , Z. H. Ma , M. Feng , V. Vedral

The nonequilibrium thermodynamics of interacting quantum many-body systems is investigated within the framework of thermal time-dependent density functional theory using a generalized linear-response formulation for the full quantum work…

Quantum Physics · Physics 2025-12-23 Antonio Palamara , Francesco Plastina , Antonello Sindona , Irene D'Amico
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