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Dissipative dynamics of a quantum two-state system in presence of nonequilibrium quantum noise

Author

Listed:
  • Niklas Mann

    (Institut für Theoretische Physik, Universität Hamburg)

  • Jochen Brüggemann

    (Institut für Theoretische Physik, Universität Hamburg)

  • Michael Thorwart

    (Institut für Theoretische Physik, Universität Hamburg)

Abstract

We analyze the real-time dynamics of a quantum two-state system in the presence of nonequilibrium quantum fluctuations. The latter are generated by a coupling of the two-state system to a single electronic level of a quantum dot which carries a nonequilibrium tunneling current. We restrict to the sequential tunneling regime and calculate the dynamics of the two-state system, of the dot population, and of the nonequilibrium charge current on the basis of a diagrammatic perturbative method valid for a weak tunneling coupling. We find a nontrivial dependence of the relaxation and dephasing rates of the two-state system due to the nonequilibrium fluctuations which is directly linked to the structure of the unperturbed central system. In addition, a Heisenberg-Langevin-equation of motion allows us to calculate the correlation function of the nonequilibrium fluctuations. By this, we obtain a generalized nonequilibrium fluctuation relation which includes the equilibrium fluctuation-dissipation theorem in the limit of zero transport voltage. A straightforward extension to the case with a time-periodic ac voltage is shown.

Suggested Citation

  • Niklas Mann & Jochen Brüggemann & Michael Thorwart, 2016. "Dissipative dynamics of a quantum two-state system in presence of nonequilibrium quantum noise," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(12), pages 1-10, December.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:12:d:10.1140_epjb_e2016-70600-x
    DOI: 10.1140/epjb/e2016-70600-x
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    Mesoscopic and Nanoscale Systems;

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