Fluctuations of work in nearly adiabatically driven open quantum systems

Samu Suomela, Juha Salmilehto, Ivan Savenko, Tapio Ala-Nissila, Mikko Möttönen

Research output: Contribution to journalArticleScientificpeer-review

15 Citations (Scopus)
264 Downloads (Pure)

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 languageEnglish
Article number022126
Pages (from-to)1-13
JournalPhysical Review E
Volume91
Issue number2
Publication statusPublished - 2015
MoE publication typeA1 Journal article-refereed

Keywords

  • adiabatic evolution
  • fluctuation relations
  • work fluctuations

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