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

S. Maniscalco·J. Piilo·F. Intravaia·F. Petruccione·A. Messina
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Abstract

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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S. Maniscalco, J. Piilo, F. Intravaia, F. Petruccione, A. Messina. 2004-10-01. Lindblad and non--Lindblad type dynamics of a quantum Brownian particle. https://doi.org/10.1103/physreva.70.032113

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