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The study of thermal operations allows one to investigate the ultimate possibilities of quantum states and of nanoscale thermal machines. Whilst fairly general, these results typically do not apply to continuous variable systems and do not…

Quantum Physics · Physics 2020-01-22 A. Serafini , M. Lostaglio , S. Longden , U. Shackerley-Bennett , C. -Y. Hsieh , G. Adesso

We study thermodynamic processes in contact with a heat bath that may have an arbitrary time-varying periodic temperature profile. Within the framework of stochastic thermodynamics, and for models of thermo-dynamic engines in the idealized…

Optimization and Control · Mathematics 2022-04-06 Olga Movilla Miangolarra , Rui Fu , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

We have presented a simple approach to quantum theory of Brownian motion and barrier crossing dynamics. Based on an initial coherent state representation of bath oscillators and an equilibrium canonical distribution of quantum mechanical…

Quantum Physics · Physics 2009-11-07 Dhruba Banerjee , Bidhan Chandra Bag , Suman Kumar Banik , Deb Shankar Ray

The Brownian motion of microscopic particles is driven by the collisions with the molecules of the surrounding fluid. The noise associated with these collisions is not white, but coloured due, e.g., to the presence of hydrodynamic memory.…

Statistical Mechanics · Physics 2012-10-04 Scott Hottovy , Giovanni Volpe , Jan Wehr

Quantum thermodynamics and quantum information are two frameworks for employing quantum mechanical systems for practical tasks, exploiting genuine quantum features to obtain advantages with respect to classical implementations. While…

Quantum Physics · Physics 2019-05-28 Giuseppe Vitagliano , Claude Klöckl , Marcus Huber , Nicolai Friis

The quantum Brownian motion of a single neutral particle with nonzero electric dipole moment placed in a photon gas at fixed temperature and close to a conducting wall is here examined. The interaction of the particle with the photon field…

Quantum Physics · Physics 2023-06-23 G. H. S. Camargo , V. A. De Lorenci , A. L. Ferreira Junior , C. C. H. Ribeiro

We discuss an autonomous motor based on a Brownian particle driven from thermal equilibrium by periodic in time variation of the internal potential through which the particle interacts with molecules of the surrounding thermal bath. We…

Statistical Mechanics · Physics 2015-06-23 A. V. Plyukhin

We revisit the effective parameter description of hot Brownian motion -- a scenario where a colloidal particle is kept at an elevated temperature than the ambient fluid. Due to the time scale separation between heat diffusion and particle…

Soft Condensed Matter · Physics 2018-06-13 Mayank Srivastava , Dipanjan Chakraborty

Progress in miniaturized technology allows us to control physical systems at nanoscale with remarkable precision. Experimental advancements have sparked interest in control problems in stochastic thermodynamics, typically concerning a…

Statistical Mechanics · Physics 2025-03-26 Julia Sanders , Marco Baldovin , Paolo Muratore-Ginanneschi

Thermodynamics is the phenomenological theory of heat and work. Here we analyze to what extent quantum thermodynamic relations are immune to the underlying mathematical formulation of quantum mechanics. As a main result, we show that the…

Quantum Physics · Physics 2016-04-21 Bartłomiej Gardas , Sebastian Deffner , Avadh Saxena

We establish an analytical criterion for dynamical thermalization within harmonic systems, applicable to both classical and quantum models. Specifically, we prove that thermalization of various observables, such as particle energies in…

Statistical Mechanics · Physics 2025-07-29 Marco Cattaneo , Marco Baldovin , Dario Lucente , Paolo Muratore-Ginanneschi , Angelo Vulpiani

Work can be extracted from a single heat bath if additional information is available. For the paradigmatic case of a Brownian particle in a harmonic potential, whose position has been measured with finite precision, we determine the optimal…

Statistical Mechanics · Physics 2011-03-24 D. Abreu , U. Seifert

Work fluctuation and total entropy production play crucial roles in small thermodynamic systems subject to large thermal fluctuations. We investigate a trade-off relation between them in a nonequilibrium situation in which a system starts…

Statistical Mechanics · Physics 2016-12-15 Ken Funo , Tomohiro Shitara , Masahito Ueda

The resource-theoretic approach to quantum thermodynamics assumes complete knowledge of the thermal equilibrium against which thermodynamic resources are defined. In practice, however, this state is determined by the system Hamiltonian and…

Quantum Physics · Physics 2026-04-16 Munan Zhang , Kun Fang

Local master equations are a widespread tool to model open quantum systems, especially in the context of many-body systems. These equations, however, are believed to lead to thermodynamic anomalies and violation of the laws of…

Quantum Physics · Physics 2021-02-23 Adam Hewgill , Gabriele De Chiara , Alberto Imparato

We consider continuously monitored quantum systems and introduce definitions of work and heat along individual quantum trajectories that are valid for coherent superpositions of energy eigenstates. We use these quantities to extend the…

Quantum Physics · Physics 2016-03-22 Jose Joaquin Alonso , Eric Lutz , Alessandro Romito

Universality of classical thermodynamics rests on the central limit theorem, due to which, measurements of thermal fluctuations are unable to reveal detailed information regarding the microscopic structure of a macroscopic body. When small…

Quantum Physics · Physics 2024-02-28 Lucas Chibebe Céleri , Łukasz Rudnicki

We present a consistent thermodynamic theory for the resonant level model in the wide band limit, whose level energy is driven slowly by an external force. The problem of defining 'system' and 'bath' in the strong coupling regime is…

Mesoscale and Nanoscale Physics · Physics 2017-05-05 Anton Bruch , Mark Thomas , Silvia Viola Kusminskiy , Felix von Oppen , Abraham Nitzan

We take the perspective of open quantum systems and examine from their nonequilibrium dynamics the conditions when the physical quantities, their relations and the laws of thermodynamics become well defined and viable for quantum many body…

Quantum Physics · Physics 2018-01-30 Jen-Tsung Hsiang , C. H. Chou , Y. Subaşi , B. L. Hu

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