Non-Markovian Relaxation of a Three-Level System: Quantum Trajectory Approach

Details Non-Markovian Relaxation of a Three-Level System: Quantum Trajectory Approach Non-Markovian Relaxation of a Three-Level System: Quantum Trajectory Approach

2010-09-27

arxiv.org/abs/1009.5301v3

Physical Review Letters 105, 240403 (2010)

Physics

Quantum Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.105.240403

The non-Markovian dynamics of a three-level quantum system coupled to a bosonic environment is a difficult problem due to the lack of an exact dynamic equation such as a master equation. We present for the first time an exact quantum trajectory approach to a dissipative three-level model. We have established a convolutionless stochastic Schr\"{o}dinger equation called time-local quantum state diffusion (QSD) equation without any approximations, in particular, without Markov approximation. Our exact time-local QSD equation opens a new avenue for exploring quantum dynamics for a higher dimensional quantum system coupled to a non-Markovian environment.

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