Calculation of Covariance Matrix for Multi-mode Gaussian States in Decoherence Processes
XIANG Shao-Hua1,2, SHAO Bin2, SONG Ke-Hui1
1Department of Physics and Electronic Information Science, Huaihua University, Huaihua 4180082Department of Physics, Beijing Institute of Technology, Beijing 100081
Calculation of Covariance Matrix for Multi-mode Gaussian States in Decoherence Processes
XIANG Shao-Hua1,2, SHAO Bin2, SONG Ke-Hui1
1Department of Physics and Electronic Information Science, Huaihua University, Huaihua 4180082Department of Physics, Beijing Institute of Technology, Beijing 100081
摘要We investigate the dynamics of n single-mode continuous variable systems in a generic Gaussian state under the influence of the independent and correlated noises making use of the characteristic function method. In two models the bath is assumed to be a squeezed thermal one. We derive an explicit input-output expression between the initial and final covariance matrices. As an example, we study the evolution of entanglement of three-mode Gaussian state embedded in two noisy models.
Abstract：We investigate the dynamics of n single-mode continuous variable systems in a generic Gaussian state under the influence of the independent and correlated noises making use of the characteristic function method. In two models the bath is assumed to be a squeezed thermal one. We derive an explicit input-output expression between the initial and final covariance matrices. As an example, we study the evolution of entanglement of three-mode Gaussian state embedded in two noisy models.
XIANG Shao-Hua;SHAO Bin;SONG Ke-Hui. Calculation of Covariance Matrix for Multi-mode Gaussian States in Decoherence Processes[J]. 中国物理快报, 2009, 26(3): 30304-030304.
XIANG Shao-Hua, SHAO Bin, SONG Ke-Hui. Calculation of Covariance Matrix for Multi-mode Gaussian States in Decoherence Processes. Chin. Phys. Lett., 2009, 26(3): 30304-030304.
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2009, Vol. 26 
