Non-Markovian dynamics of a damped driven two-state system

Details Non-Markovian dynamics of a damped driven two-state system Non-Markovian dynamics of a damped driven two-state system

2010-01-20

arxiv.org/abs/1001.3564v2

Phys. Rev. A 81, 052103 (2010)

Physics

Quantum Physics

12 pages, 5 figures, final version

Scientific paper

We study a driven two-state system interacting with a structured environment. We introduce the non-Markovian master equation ruling the system dynamics, and we derive its analytic solution for general reservoir spectra. We compare the non-Markovian dynamics of the Bloch vector for two classes of reservoir spectra: the Ohmic and the Lorentzian reservoir. Finally, we derive the analytic conditions for complete positivity with and without the secular approximation. Interestingly, the complete positivity conditions have a transparent physical interpretation in terms of the characteristic timescales of phase diffusion and relaxation processes.

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