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



: Maniscalco S, Piilo J, Intravaia F, Petruccione F, Messina A

Publisher: AMERICAN PHYSICAL SOC

: 2004

: Physical Review A

: PHYSICAL REVIEW A

: PHYS REV A

: ARTN 032113

: 70

: 3

: 13

: 1050-2947

DOI: https://doi.org/10.1103/PhysRevA.70.032113


The dynamics of a typical open quantum system, namely a quantum Brownian particle in a harmonic potential, is studied focusing 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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