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Non-markovian behavior in low-temperature damping

Author

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  • Gorini, Vittorio
  • Verri, Maurizio
  • Frigerio, Alberto

Abstract

We give a description of the reduced dynamics of an open quantum system whose initial state is (in general) correlated with the surroundings. The averaging method (whose mathematical theory was developed in another paper) is used to construct a series expansion of the reduced dynamics in powers of the ratio τ1/τ0 of the characteristic relaxation times τ1 and τ0 of the surroundings and of the system respectively. To first order in τ1/τ0 we obtain the well-known Markovian approximation which corresponds to the weak coupling limit. Starting from second order in τ1/τ0 there appear various kinds of non-Markovian effects including initial slips which have attracted much attention in the recent literature. The relevance of these higher-order corrections stems from the fact that the characteristic time τ1 cannot be much smaller than h̵kT for quantum surroundings at temperature T.

Suggested Citation

  • Gorini, Vittorio & Verri, Maurizio & Frigerio, Alberto, 1989. "Non-markovian behavior in low-temperature damping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 161(2), pages 357-384.
    • Handle: RePEc:eee:phsmap:v:161:y:1989:i:2:p:357-384
    DOI: 10.1016/0378-4371(89)90473-1
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