Lindblad and non--Lindblad type dynamics of a quantum Brownian particle

Details Lindblad and non--Lindblad type dynamics of a quantum Brownian particle Lindblad and non--Lindblad type dynamics of a quantum Brownian particle

2004-05-24

arxiv.org/abs/quant-ph/0405140v2

Phys. Rev. A 70 032113 (2004) (13 pages)

Physics

Quantum Physics

13 pages, 4 figures, v2:added discussion on Wigner function, squeezing, and Mandel parameter

Scientific paper

10.1103/PhysRevA.70.032113

The dynamics of a typical open quantum system, namely a quantum Brownian particle in a harmonic potential, is studied focussing on its non-Markovian regime. Both an analytic approach and a stochastic wave function approach are used to describe the exact time evolution of the system. The border between two very different dynamical regimes, the Lindblad and non-Lindblad regimes, is identified and the relevant physical variables governing the passage from one regime to the other are singled out. The non-Markovian short time dynamics is studied in detail by looking at the mean energy, the squeezing, the Mandel parameter and the Wigner function of the system.

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