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Thermodynamic formalism for rotating black holes, characterized by noncommutative and quantum corrections, is constructed. From a fundamental thermodynamic relation, equations of state and thermodynamic response functions are explicitly…

General Relativity and Quantum Cosmology · Physics 2016-11-28 L. F. Escamilla-Herrera , E. Mena-Barboza , J. Torres-Arenas

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

The consistent definition of the thermodynamic functions of small open quantum systems in contact with an environment in equilibrium with a heat bath has been the subject of many debates in the quantum community. In the present work we…

Quantum Physics · Physics 2020-10-30 Jean Richert , Tarek Khalil

Thermodynamics of power means applies to an ideal quantum gas which may be nonextensive. Transition to an ideal classical gas occurs when the empirical temperature exponents of the internal energy and absolute temperature coalesce. Limiting…

Statistical Mechanics · Physics 2007-05-23 B. H. Lavenda

Incorporating time into thermodynamics allows addressing the tradeoff between efficiency and power. A qubit engine serves as a toy model to study this tradeoff from first principles, based on the quantum theory of open systems. We study the…

Quantum Physics · Physics 2021-03-11 Roie Dann , Ronnie Kosloff , Peter Salamon

Considering an entropy-based division of energy transferred into heat and work, we develop an alternative theoretical framework for the thermodynamic analysis of two-level systems. When comparing these results with those obtained under the…

Quantum Physics · Physics 2021-04-14 Andrés Vallejo , Alejandro Romanelli , Raúl Donangelo

The ideas of thermodynamics have proved fruitful in the setting of quantum information theory, in particular the notion that when the allowed transformations of a system are restricted, certain states of the system become useful resources…

The thermodynamics of local causal horizons has been shown to imply gravitational dynamics. In this essay, we discuss the principles underlying this observation, and its significance in our understanding of (quantum) gravity. We also show…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Ana Alonso-Serrano , Marek Liška

The role of quantum entanglement in thermodynamical systems remains elusive. Does entanglement result in thermodynamic advantages or does it impose fundamental limitations? Here, we unambiguously quantify the amount of heat and work in a…

Quantum Physics · Physics 2026-03-23 Joan Alba , Laura Ares , Jan Sperling , Julien Pinske

Quantum speed limits are relations yielding lower bounds on the evolution time of quantum systems. These results have been generalized in some ways, in particular by including evolutions to non-orthogonal states. However, there was a gap in…

Quantum Physics · Physics 2014-07-17 M. M. Taddei

Many thermodynamic relations involve inequalities, with equality if a process does not involve dissipation. In this article we provide equalities in which the dissipative contribution is shown to involve the relative entropy (a.k.a.…

Statistical Mechanics · Physics 2015-06-17 B. Gaveau , L. Granger , M. Moreau , L. S. Schulman

We introduce a reversible theory of exact entanglement manipulation by establishing a necessary and sufficient condition for state transfer under trace-preserving transformations that completely preserve the positivity of partial transpose…

Quantum Physics · Physics 2023-12-08 Xin Wang , Yu-Ao Chen , Lei Zhang , Chenghong Zhu

The sum of the average work dissipated plus the information gained during a thermodynamic process with discrete feedback must exceed zero. We demonstrate that the minimum value of zero is attained only by feedback-reversible processes that…

Statistical Mechanics · Physics 2015-05-27 Jordan M. Horowitz , Juan M. R. Parrondo

We introduce the notion of time reversal in open quantum systems as represented by linear quantum operations, and a related generalization of classical entropy production in the environment. This functional is the ratio of the probability…

Quantum Physics · Physics 2016-07-26 Erik Aurell , Jakub Zakrzewski , Karol Życzkowski

Quantum measurement of a system can change its mean energy, as well as entropy. A selective measurement (classical or quantum) can be used as a "Maxwell's demon" to power a single-temperature heat engine, by decreasing the entropy. Quantum…

Quantum Physics · Physics 2010-11-05 Noam Erez

Relating thermodynamic and kinetic properties is a conceptual challenge with many practical benefits. Here, based on first principles, we derive a rigorous inequality relating the entropy and the dynamic propagator of particle…

Statistical Mechanics · Physics 2024-07-11 Benjamin Sorkin , Haim Diamant , Gil Ariel

Thermodynamics dictates that the specific heat of a system is strictly non-negative. However, in finite classical systems there are well known theoretical and experimental cases where this rule is violated, in particular finite atomic…

Statistical Mechanics · Physics 2015-06-15 Pablo Serra , Marcelo Carignano , Fahhad Alharbi , Sabre Kais

We establish a fundamental connection between score-based diffusion models and non-equilibrium thermodynamics by deriving performance limits based on entropy rates. Our main theoretical contribution is a lower bound on the negative…

Machine Learning · Computer Science 2025-10-08 Nathan X. Kodama , Michael Hinczewski

We show for Markov diffusion processes that the quadratic entropic bound, recently derived for the rate functions of nonequilibrium currents, can be seen as being produced by an effective process that creates current fluctuations in a…

Statistical Mechanics · Physics 2023-03-30 Cesare Nardini , Hugo Touchette

We study the energy extraction from and charging to a finite-dimensional quantum system by general quantum operations. We prove that the changes in energy induced by unital quantum operations are limited by the ergotropy/charging bound for…

Quantum Physics · Physics 2023-06-16 Kenta Koshihara , Kazuya Yuasa