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Description of non-Markovian effect in open quantum system with the discretized environment method

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  • Denis Lacroix
  • Vazgen Sargsyan
  • Gurgen Adamian
  • Nikolai Antonenko

Abstract

An approach, called discretized environment method, is used to treat exactly non-Markovian effects in open quantum systems. In this approach, a complex environment described by a spectral function is mapped into a finite set of discretized states with an appropriate coupling to the system of interest. The finite set of system plus environment degrees of freedom are then explicitly followed in time leading to a quasi-exact description. The present approach is anticipated to be particularly accurate in the low temperature and strongly non-Markovian regime. The discretized environment method is validated on a two-level system (qubit) coupled to a bosonic or fermionic heat-bath. A perfect agreement with the quantum Langevin approach is found. Further illustrations are made on a three-level system (qutrit) coupled to a bosonic heat-bath. Emerging processes due to strong memory effects are discussed. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Denis Lacroix & Vazgen Sargsyan & Gurgen Adamian & Nikolai Antonenko, 2015. "Description of non-Markovian effect in open quantum system with the discretized environment method," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(4), pages 1-8, April.
    • Handle: RePEc:spr:eurphb:v:88:y:2015:i:4:p:1-8:10.1140/epjb/e2015-60052-3
    DOI: 10.1140/epjb/e2015-60052-3
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    Statistical and Nonlinear Physics;

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