Perturbation methods for the non-Markovian quantum state diffusion equation

Jie Xu, Xinyu Zhao, Jun Jing, Lian Ao Wu, Ting Yu

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

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.

Original languageEnglish
Article number435301
JournalJournal of Physics A: Mathematical and Theoretical
Volume47
Issue number43
DOIs
StatePublished - 31 Oct 2014

Keywords

  • entanglement
  • non-Markovian dynamics
  • perturbation
  • quantum state diffusion equation

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