Fluctuations of work in nearly adiabatically driven open quantum systems

S. Suomela; J. Salmilehto; I. G. Savenko; T. Ala-Nissila; M. Möttönen

doi:10.1103/PhysRevE.91.022126

Fluctuations of work in nearly adiabatically driven open quantum systems

S. Suomela, J. Salmilehto, I. G. Savenko, T. Ala-Nissila, M. Möttönen

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

We extend the quantum jump method to nearly adiabatically driven open quantum systems in a way that allows for an accurate account of the external driving in the system-environment interaction. Using this framework, we construct the corresponding trajectory-dependent work performed on the system and derive the integral fluctuation theorem and the Jarzynski equality for nearly adiabatic driving. We show that such identities hold as long as the stochastic dynamics and work variable are consistently defined. We numerically study the emerging work statistics for a two-level quantum system and find that the conventional diabatic approximation is unable to capture some prominent features arising from driving, such as the continuity of the probability density of work. Our results reveal the necessity of using accurate expressions for the drive-dressed heat exchange in future experiments probing jump time distributions.

Original language	English
Article number	022126
Journal	Physical Review E
Volume	91
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.91.022126
State	Published - 19 Feb 2015
Externally published	Yes

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AU - Savenko, I. G.

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AU - Möttönen, M.

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AB - We extend the quantum jump method to nearly adiabatically driven open quantum systems in a way that allows for an accurate account of the external driving in the system-environment interaction. Using this framework, we construct the corresponding trajectory-dependent work performed on the system and derive the integral fluctuation theorem and the Jarzynski equality for nearly adiabatic driving. We show that such identities hold as long as the stochastic dynamics and work variable are consistently defined. We numerically study the emerging work statistics for a two-level quantum system and find that the conventional diabatic approximation is unable to capture some prominent features arising from driving, such as the continuity of the probability density of work. Our results reveal the necessity of using accurate expressions for the drive-dressed heat exchange in future experiments probing jump time distributions.

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Fluctuations of work in nearly adiabatically driven open quantum systems

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