TY - JOUR
T1 - Perturbation methods for the non-Markovian quantum state diffusion equation
AU - Xu, Jie
AU - Zhao, Xinyu
AU - Jing, Jun
AU - Wu, Lian Ao
AU - Yu, Ting
N1 - Publisher Copyright:
© 2014 IOP Publishing Ltd.
PY - 2014/10/31
Y1 - 2014/10/31
N2 - Two perturbation methods for the non-Markovian quantum state diffusion (NMQSD) equation are investigated in this paper. The first perturbation method under investigation is based on a functional expansion of the NMQSD equation, while the second expands the NMQSD equation in terms of coupling strength between the system and its environment. We compare the two perturbation methods by solving the dynamics of a bipartite system in which the two perturbation methods can be compared with the exact NMQSD equation. In addition, as an application, we provide an analytical solution for a special family of the system's initial states, and discuss the entanglement dynamics based on this solution.
AB - Two perturbation methods for the non-Markovian quantum state diffusion (NMQSD) equation are investigated in this paper. The first perturbation method under investigation is based on a functional expansion of the NMQSD equation, while the second expands the NMQSD equation in terms of coupling strength between the system and its environment. We compare the two perturbation methods by solving the dynamics of a bipartite system in which the two perturbation methods can be compared with the exact NMQSD equation. In addition, as an application, we provide an analytical solution for a special family of the system's initial states, and discuss the entanglement dynamics based on this solution.
KW - entanglement
KW - non-Markovian dynamics
KW - perturbation
KW - quantum state diffusion equation
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U2 - 10.1088/1751-8113/47/43/435301
DO - 10.1088/1751-8113/47/43/435301
M3 - Article
AN - SCOPUS:84908211976
SN - 1751-8113
VL - 47
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 43
M1 - 435301
ER -