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Exact solution and short-time dynamics of multimode Gaussian states embedded in a common non-Markovian environment

  • Shao-Hua XiangEmail author
  • Ke-Hui Song
Regular Article
  • 162 Downloads

Abstract

We investigate a system of N mutually coupled harmonic oscillators interacting with the same environment and derive the corresponding exact non-Markovian master equation using our introduced approach. We obtain an explicit formula for the covariance matrix of the evolved state by taking a Gaussian state as initial one. With this, we analyze the short-time non-Markovian dynamics of three-mode Gaussian state in high-temperature limit. Our results show that the short-time evolution behavior of bipartite entanglement for 1 × 2 bipartition is similar to that of genuine tripartite entanglement, while the 1 × 1 bipartition entanglement does not. It is also shown that there exists a threshold that makes the initial tri- and bipartite entanglement increase or decrease. For the squeezing degree of the initial state than this critical value, the entanglement is increased with the evolution time; otherwise it is decreased. Finally, we present a physical positivity criterion for the covariance matrix of the evolved state.

Keywords

Quantum Information 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of Physics and Information EngineeringHuaihua UniversityHuaihua, HunanP.R. China

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