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The spin-boson model, often used in NMR and ESR physics, quantum optics and spintronics, is considered in a solvable limit to model a spin one-half particle interacting with a bosonic thermal bath. By applying external pulses to a…

Statistical Mechanics · Physics 2009-11-07 A. E. Allahverdyan , Th. M. Nieuwenhuizen

We show that work can be extracted from a two-level system (spin) coupled to a bosonic thermal bath. This is possible due to different initial temperatures of the spin and the bath, both positive (no spin population inversion) and is…

Quantum Physics · Physics 2009-11-10 A. E. Allahverdyan , R. Serral Gracia , Th. M. Nieuwenhuizen

The stationary state of a quantum particle strongly coupled to a quantum thermal bath is known to be non-gibbsian, due to entanglement with the bath. For harmonic potentials, where the system can be described by effective temperatures,…

Statistical Mechanics · Physics 2009-10-31 A. E. Allahverdyan , Th. M. Nieuwenhuizen

Thomson's formulation of the second law - no work can be extracted from a system coupled to a bath through a cyclic process - is believed to be a fundamental principle of nature. For the equilibrium situation a simple proof is presented,…

Statistical Mechanics · Physics 2009-11-07 Armen E. Allahverdyan , Roger Balian , Theo M. Nieuwenhuizen

We consider the Non-Equilibrium Steady State induced by two infinite quantum thermal reservoirs at different temperatures and derive an inequality giving the upper bound of the work extracted by cyclic operations. This upper bound tends to…

Statistical Mechanics · Physics 2024-06-19 Kazuki Yamaga

How much work can be extracted from a heat bath using a thermal machine? The study of this question has a very long tradition in statistical physics in the weak-coupling limit, applied to macroscopic systems. However, the assumption that…

Quantum Physics · Physics 2015-06-17 R. Gallego , A. Riera , J. Eisert

We propose a new form of the Second Law inequality that defines a tight bound for extractable work from the non-equilibrium quantum state. In classical thermodynamics, the optimal work is given by the difference of free energy, what…

Quantum Physics · Physics 2023-02-14 Marcin Łobejko

We study work extraction processes mediated by finite-time interactions with an ambient bath -- \emph{partial thermalizations} -- as continuous time Markov processes for two-level systems. Such a stochastic process results in fluctuations…

Statistical Mechanics · Physics 2021-05-05 Maria Quadeer , Kamil Korzekwa , Marco Tomamichel

We determine the maximal work extractable via a cyclic Hamiltonian process from a positive-temperature ($T>0$) microcanonical state of a $N\gg 1$ spin bath. The work is much smaller than the total energy of the bath, but can be still much…

Statistical Mechanics · Physics 2015-06-03 Armen E. Allahverdyan , Karen V. Hovhannisyan

In a PRL [1], the authors claim to show that "the Clausius inequality can be violated, and that it is even possible to extract work from a thermal bath by cyclic variations of a parameter ("perpetuum mobile"), and that the physical cause…

Quantum Physics · Physics 2007-06-20 Elias P. Gyftopoulos , Michael R. von Spakovsky

Quantum thermal states are known to be passive, as required by the second law of thermodynamics. This paper investigates the potential for work extraction by coupling a thermal bath to a qubit of either spin, fermionic, or topological type,…

Quantum Physics · Physics 2026-04-29 Jhh-Jing Hong , Feng-Li Lin

We study how Thomson's formulation of the second law: no work is extracted from an equilibrium ensemble by a cyclic process, emerges in the quantum situation through the averaging over fluctuations of work. The latter concept is carefully…

Statistical Mechanics · Physics 2007-05-23 A. E. Allahverdyan , Th. M. Nieuwenhuizen

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

We show that frequent nondemolition measurements of a quantum system immersed in a thermal bath allow the extraction of work in a closed cycle from the system-bath interaction (correlation) energy, a hitherto unexploited work resource. It…

Quantum Physics · Physics 2013-08-19 David Gelbwaser-Klimovsky , Noam Erez , Robert Alicki , Gershon Kurizki

An apparent violation of the second law of thermodynamics occurs when an atom coupled to a zero-temperature bath, being necessarily in an excited state, is used to extract work from the bath. Here the fallacy is that it takes work to couple…

Quantum Physics · Physics 2009-11-13 G. W. Ford , R. F. O'Connell

Thermodynamics is traditionally concerned with systems comprised of a large number of particles. Here we present a framework for extending thermodynamics to individual quantum systems, including explicitly a thermal bath and work-storage…

Quantum Physics · Physics 2014-09-29 Paul Skrzypczyk , Anthony J. Short , Sandu Popescu

Work can be extracted from a single bath beyond the limit set by the second law by performing measurement on the system and utilising the acquired information. As an example we studied a Brownian particle confined in a two dimensional…

Statistical Mechanics · Physics 2015-06-19 P. S. Pal , Shubhashis Rana , Arnab Saha , A. M. Jayannavar

With the development of quantum thermodynamics it has been shown that relaxation to thermal equilibrium and with it the concept of heat flux may emerge directly from quantum mechanics. This happens for a large class of quantum systems if…

Quantum Physics · Physics 2010-05-11 Heiko Schröder , Günter Mahler

The second law of thermodynamics uses change in free energy of macroscopic systems to set a bound on performed work. Ergotropy plays a similar role in microscopic scenarios, and is defined as the maximum amount of energy that can be…

Quantum Physics · Physics 2022-10-19 Tanmoy Biswas , Marcin Łobejko , Paweł Mazurek , Konrad Jałowiecki , Michał Horodecki

The second law of thermodynamics, formulated as an ultimate bound on the maximum extractable work, has been rigorously derived in multiple scenarios. However, the unavoidable limitations that emerge due to the lack of control on small…

Quantum Physics · Physics 2016-04-27 H. Wilming , R. Gallego , J. Eisert
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