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20 April 2024
 
  » arxiv » quant-ph/0405140

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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 ;
Date 24 May 2004
Journal Phys. Rev. A 70 032113 (2004) (13 pages)
Subject quant-ph
Affiliation Univ. of KwaZulu-Natal, South Africa ENS, Paris, France Univ. of Palermo, Italy
AbstractThe 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.
Source arXiv, quant-ph/0405140
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