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Quantum jump model for a system with a finite-size environment

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21 Citations (Scopus)
378 Downloads (Pure)

Abstract

Measuring the thermodynamic properties of open quantum systems poses a major challenge. A calorimetric detection has been proposed as a feasible experimental scheme to measure work and fluctuation relations in open quantum systems. However, the detection requires a finite size for the environment, which influences the system dynamics. This process cannot be modeled with the standard stochastic approaches. We develop a quantum jump model suitable for systems coupled to a finite-size environment. We use the method to study the common fluctuation relations and prove that they are satisfied.

Original languageEnglish
Article number062106
Number of pages7
JournalPhysical Review E
Volume93
Issue number6
DOIs
Publication statusPublished - 3 Jun 2016
MoE publication typeA1 Journal article-refereed

Funding

We wish to thank Jukka Pekola for suggesting this problem to us, and for useful discussions. We wish also to thank C. Jarzynski, P. Muratore-Ginanneschi, and K. Schwieger for useful discussions and comments. This work was supported in part by the Vaisala Foundation and the Academy of Finland through its Centres of Excellence Programme (2015-2017) under project numbers 251748 and 284621. The numerical calculations were performed using computer resources of the Aalto University School of Science "Science-IT" project.

Keywords

  • FREE-ENERGY DIFFERENCES
  • FLUCTUATION RELATIONS
  • ENTROPY PRODUCTION
  • MASTER EQUATION
  • THERMODYNAMICS
  • SIMULATION
  • EQUALITY
  • OPTICS

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