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Related papers: Stochastic thermodynamics in the quantum regime

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The internal energy of individual subsystems is not well defined in interacting quantum systems, leading to ambiguities in the definition of thermodynamic quantities. Applying the Schmidt basis formalism to general bipartite autonomous…

Quantum Physics · Physics 2024-09-27 Fabricio Toscano , Diego A. Wisniacki

The nature of the behaviour of an isolated many-body quantum system periodically driven in time has been an open question since the beginning of quantum mechanics. After an initial transient, such a system is known to synchronize with the…

Statistical Mechanics · Physics 2014-04-22 Achilleas Lazarides , Arnab Das , Roderich Moessner

In nano-scale systems coupled to finite-size reservoirs, the reservoir temperature may fluctuate due to heat exchange between the system and the reservoirs. To date, a stochastic thermodynamic analysis of heat, work and entropy production…

Statistical Mechanics · Physics 2024-04-03 Saulo V. Moreira , Peter Samuelsson , Patrick P. Potts

We use quantum estimation theory to derive a thermodynamic uncertainty relation in Markovian open quantum systems, which bounds the fluctuation of continuous measurements. The derived quantum thermodynamic uncertainty relation holds for…

Statistical Mechanics · Physics 2020-07-30 Yoshihiko Hasegawa

We prove a theorem showing that quantum mechanics is not directly a stochastic process characterizing Brownian motion but rather its square root. This implies that a complex-valued stochastic process is involved. Schr\"odinger equation is…

Mathematical Physics · Physics 2012-01-31 Marco Frasca

We investigate the thermodynamic behavior of open quantum systems through the Hamiltonian of Mean Force, focusing on two models: a two-qubit system interacting with a thermal bath and a Jaynes-Cummings Model without the rotating wave…

Quantum Physics · Physics 2025-09-03 Neha Pathania , Devvrat Tiwari , Subhashish Banerjee

The postulational basis of classical thermodynamics has been expanded to incorporate equilibrium fluctuations. The main additional elements of the proposed thermodynamic theory are the concept of quasi-equilibrium states, a definition of…

Statistical Mechanics · Physics 2019-06-11 Y. Mishin

An universal exact description of kinetics of open quantum systems in terms of random wave functions and stochastic Schr\"{o}dinger equation is suggested. It is shown that evolution of random quantum states of an open system is unitary on…

Quantum Physics · Physics 2009-03-13 Yuriy E. Kuzovlev

In systems with detailed balance, the stationary distribution and the equilibrium distribution are identical, creating a clear connection between energetic and entropic quantities. Many driven systems violate detailed balance and still pose…

Statistical Mechanics · Physics 2025-01-22 Markus Hofer , Jan Korbel , Rudolf Hanel , Stefan Thurner

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

In analogy to Brownian computers we explicitly show how to construct stochastic models, which mimic the behaviour of a general purpose computer (a Turing machine). Our models are discrete state systems obeying a Markovian master equation,…

Statistical Mechanics · Physics 2015-10-13 Philipp Strasberg , Javier Cerrillo , Gernot Schaller , Tobias Brandes

We show that quantum fluctuations display a singularity at thermal critical points, involving the dynamical $z$ exponent. Quantum fluctuations, captured by the quantum variance (I. Fr\'erot and T. Roscilde, Phys. Rev. B 94, 075121 (2016)),…

Statistical Mechanics · Physics 2022-03-31 Irénée Frérot , Adam Rançon , Tommaso Roscilde

We propose a generalization of stochastic thermodynamics to systems of active particles, which move under the combined influence of stochastic internal self-propulsions (activity) and a heat bath. The main idea is to consider joint…

Soft Condensed Matter · Physics 2019-11-20 Grzegorz Szamel

It is known that temperature estimates of macroscopic systems in equilibrium are most precise when their energy fluctuations are large. However, for nanoscale systems deviations from standard thermodynamics arise due to their interactions…

Quantum Physics · Physics 2018-06-14 Harry J. D. Miller , Janet Anders

The thermodynamics of small quantum many-body systems strongly coupled to a heat bath at low temperatures with non-Markovian behavior are new challenges for quantum thermodynamics, as traditional thermodynamics is built on large systems…

Quantum Physics · Physics 2019-04-23 Jen-Tsung Hsiang , B. L. Hu

We investigate the connection between recent results in quantum thermodynamics and fluctuation relations by adopting a fully quantum mechanical description of thermodynamics. By including a work system whose energy is allowed to fluctuate,…

Quantum Physics · Physics 2017-03-27 Álvaro M. Alhambra , Lluis Masanes , Jonathan Oppenheim , Christopher Perry

It is shown that the vacuum state of weakly interacting quantum field theories can be described, in the Heisenberg picture, as a linear combination of randomly distributed incoherent paths that obey classical equations of motion with…

High Energy Physics - Theory · Physics 2009-11-07 Ram Brustein , David H. Oaknin

Quantum mechanics predicts correlation between spacelike separated events which is widely argued to violate the principle of Local Causality. By contrast, here we shall show that the Schr\"odinger equation with Born's statistical…

Quantum Physics · Physics 2014-04-07 Agung Budiyono

Fluctuation theorems establish exact relations for nonequilibrium dynamics, profoundly advancing the field of stochastic thermodynamics. In this work, we extend quantum fluctuation theorems beyond the traditional thermodynamic framework to…

Quantum Physics · Physics 2026-02-24 Kun Zhang , Mo-Yang Ni , Hai-Long Shi , Xiao-Hui Wang , Jin Wang

Quantum thermodynamics allows for the interconversion of quantum coherence and mechanical work. Quantum coherence is thus a potential physical resource for quantum machines. However, formulating a general nonequilibrium thermodynamics of…

Quantum Physics · Physics 2025-11-05 Franklin L. S. Rodrigues , Eric Lutz
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