Statistically preferred basis of an open quantum system: its relation to the eigenbasis of a renormalized self-Hamiltonian.
Statistically preferred basis of an open quantum system: its relation to the eigenbasis of a renormalized self-Hamiltonian.
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DOI：
10.1103/physreve.89.022125
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发表时间：
2013-09
期刊：
影响因子：
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通讯作者：
Lewei He;Wen-ge Wang
中科院分区：
文献类型：
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作者：
Lewei He;Wen-ge Wang
我们研究量子混沌环境下开放量子系统的基问题，考虑到其平稳的约简密度矩阵（RDM），即平稳RDM是对角的基。结果表明，在由足够多的总系统能量本征态组成的初始条件下，在环境大希尔伯特空间的限制下，这样的基础由系统的重正化自哈密顿量的本征基给出。这里，重正化自哈密顿量由未扰动的自哈密尔顿量加上环境自由度上相互作用哈密尔顿量的一定平均值给出。在两个模型中进行的数值模拟（均以踢动转子作为环境）给出的结果与上述分析预测一致。
We study the problem of the basis of an open quantum system, under a quantum chaotic environment, which is preferred in view of its stationary reduced density matrix (RDM), that is, the basis in which the stationary RDM is diagonal. It is shown that, under an initial condition composed of sufficiently many energy eigenstates of the total system, such a basis is given by the eigenbasis of a renormalized self-Hamiltonian of the system, in the limit of large Hilbert space of the environment. Here, the renormalized self-Hamiltonian is given by the unperturbed self-Hamiltonian plus a certain average of the interaction Hamiltonian over the environmental degrees of freedom. Numerical simulations performed in two models, both with the kicked rotor as the environment, give results consistent with the above analytical predictions.