吸收放大环境中退相干双模压缩态的量子纠缠
Quantum entanglement of decohered two-mode squeezed states in absorbing and amplifying environment
摘要：
研究了双模压缩态与具有一般增益和损耗参数的线性池相互作用系统的量子纠缠特性。通过从主方程显式求解ρ，确定了密度矩阵ρ的部分转置ρ^{T_A}的特征值和特征向量的解析表达式.在Fock空间中，ρ^{T_A}随着系统的演化保持块对角结构.此外，我们还发现，由于量子阱的退相干作用，ρ^{T_A}的简并性被打破，从而得到了一组新的本征向量，用于构造纠缠见证算符.这种本征向量是时间无关的，这是一个强大的纠缠双模压缩态在噪声的存在下的签名。
英文摘要：
We investigate the properties of quantum entanglement of two-mode squeezed states interacting with linear baths with general gain and loss parameters. By explicitly solving for ρfrom the master equation, we determine analytical expressions of eigenvalues and eigenvectors of ρ^{T_A} (the partial transposition of density matrix ρ). In Fock space, ρ^{T_A} is shown to maintain a block diagonal structure as the system evolves. In addition, we discover that the decoherence induced by the baths would break the degeneracy of ρ^{T_A}, and leads to a novel set of eigenvectors for the construction of entanglement witness operators. Such eigenvectors are shown to be time-independent, which is a signature of robust entanglement of two-mode squeezed states in the presence of noise.
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