Volume 72, Number 3, November 2005
|Page(s)||334 - 340|
|Published online||05 October 2005|
Stochastic simulation of quantum dissipative dynamics
State Key Laboratory of Molecular Reaction Dynamics, Institute of Chemistry Chinese Academy of Sciences - Beijing 100080, PRC
Corresponding author: email@example.com
Accepted: 14 September 2005
As a system can be separated from its heat bath via a decoupling scheme based on the Hubbard-Stratonovich transformation, the quantum dissipative dynamics is exactly described by the average of the random system moving in the stochastic field induced by the bath. As a test of this stochastic formalism, a direct numerical implementation is employed to simulate the spontaneous decay of a two-state atom. In contrast, the validity of a deterministic algorithm based on the stochastic scheme is investigated. Moreover, a mixed random-deterministic approach is established and its efficiency is exemplified by studying the exact dynamics for the spin-boson model at zero temperature.
PACS: 03.65.Yz – Decoherence; open systems; quantum statistical methods / 05.30.-d – Quantum statistical mechanics / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
© EDP Sciences, 2005
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