Stochastic simulation of quantum dissipative dynamicsY. Zhou, Y. Yan and J. Shao
State Key Laboratory of Molecular Reaction Dynamics, Institute of Chemistry Chinese Academy of Sciences - Beijing 100080, PRC
received 3 August 2005; accepted in final form 14 September 2005
published online 5 October 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.
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