Dephasing and dissipation in qubit thermodynamics

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Details

Original languageEnglish
Article number062109
Pages (from-to)1-8
Number of pages8
JournalPhysical Review E
Volume91
Issue number6
Publication statusPublished - 8 Jun 2015
MoE publication typeA1 Journal article-refereed

Researchers

  • J.P. Pekola

  • Y. Masuyama
  • Y. Nakamura
  • J. Bergli
  • Y.M. Galperin

Research units

  • University of Tokyo
  • RIKEN
  • University of Oslo
  • RAS - Ioffe Physico Technical Institute

Abstract

We analyze the stochastic evolution and dephasing of a qubit within the quantum jump approach. It allows one to treat individual realizations of inelastic processes, and in this way it provides solutions, for instance, to problems in quantum thermodynamics and distributions in statistical mechanics. We demonstrate that dephasing and relaxation of the qubit render the Jarzynski and Crooks fluctuation relations (FRs) of nonequilibrium thermodynamics intact. On the contrary, the standard two-measurement protocol, taking into account only the fluctuations of the internal energy U, leads to deviations in FRs under the same conditions. We relate the average ⟨e−βU⟩ (where β is the inverse temperature) with the qubit's relaxation and dephasing rates in the weak dissipation limit and discuss this relationship for different mechanisms of decoherence.

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