By-passing fluctuation theorems with a catalyst

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  • Freie Universität Berlin (FU Berlin)
  • ETH Zurich
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Original languageEnglish
JournalQuantum
Volume4
Publication statusPublished - 20 Feb 2020
Externally publishedYes

Abstract

Fluctuation theorems impose constraints on possible work extraction probabilities in thermodynamical processes. These constraints are stronger than the usual second law, which is concerned only with average values. Here, we show that such constraints, expressed in the form of the Jarzysnki equality, can be bypassed if one allows for the use of catalysts—additional degrees of freedom that may become correlated with the system from which work is extracted, but whose reduced state remains unchanged so that they can be re-used. This violation can be achieved both for small systems but also for macroscopic many-body systems, and leads to positive work extraction per particle with finite probability from macroscopic states in equilibrium. In addition to studying such violations for a single system, we also discuss the scenario in which many parties use the same catalyst to induce local transitions. We show that there exist catalytic processes that lead to highly correlated work distributions, expected to have implications for stochastic and quantum thermodynamics.

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By-passing fluctuation theorems with a catalyst. / Boes, P.; Gallego, R.; Ng, N. H.Y. et al.
In: Quantum, Vol. 4, 20.02.2020.

Research output: Contribution to journalArticleResearchpeer review

Boes, P., Gallego, R., Ng, N. H. Y., Eisert, J., & Wilming, H. (2020). By-passing fluctuation theorems with a catalyst. Quantum, 4. https://doi.org/10.22331/q-2020-02-20-231
Boes P, Gallego R, Ng NHY, Eisert J, Wilming H. By-passing fluctuation theorems with a catalyst. Quantum. 2020 Feb 20;4. doi: 10.22331/q-2020-02-20-231
Boes, P. ; Gallego, R. ; Ng, N. H.Y. et al. / By-passing fluctuation theorems with a catalyst. In: Quantum. 2020 ; Vol. 4.
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abstract = "Fluctuation theorems impose constraints on possible work extraction probabilities in thermodynamical processes. These constraints are stronger than the usual second law, which is concerned only with average values. Here, we show that such constraints, expressed in the form of the Jarzysnki equality, can be bypassed if one allows for the use of catalysts—additional degrees of freedom that may become correlated with the system from which work is extracted, but whose reduced state remains unchanged so that they can be re-used. This violation can be achieved both for small systems but also for macroscopic many-body systems, and leads to positive work extraction per particle with finite probability from macroscopic states in equilibrium. In addition to studying such violations for a single system, we also discuss the scenario in which many parties use the same catalyst to induce local transitions. We show that there exist catalytic processes that lead to highly correlated work distributions, expected to have implications for stochastic and quantum thermodynamics.",
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N1 - Funding Information: Acknowledgements. We thank Markus P. Müller and Alvaro M. Alhambra for valuable discussions and anonymous referees for interesting comments. P. B. acknowledges support from the John Templeton Foundation. H. W. acknowledges support from the Swiss National Science Foundation through SNSF project No. 200020 165843 and through the National Centre of Competence in Research Quantum Science and Technology (QSIT). N. H. Y. N. acknowledges support from the Alexander von Humboldt Foundation. R. G. has been supported by the DFG (GA 2184/2-1). J. E. acknowledges support by the DFG (FOR 2724), dedicated to quantum thermodynamics, and the FQXi.

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