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arXiv 1602.04541quant-phcond-mat.mes-hallcond-mat.stat-mech
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初始系统-环境关联对开放量子系统动力学和态制备的影响

Effects of initial system-environment correlations on open quantum system dynamics and state preparation

Chien-Chang Chen, Hsi-Sheng Goan

摘要:

研究了利用外场从系统-环境平衡态或关联态制备二能级(量子比特)系统的目标初态。系统-环境平衡或关联状态是系统与环境不可避免的相互作用的结果。在推广的辅助Liouville空间中,引入一种有效的方法来描述非马尔可夫开放量子系统在强场和初始环境关联下的动力学行为.利用开放量子系统的布居差、Bloch球表象中的态轨线和两个约化态之间的迹距随时间的演化,研究了初始系统-环境关联对系统态制备的影响.我们引入了一个上限和一个下界的轨迹距离在我们的微扰形式主义来描述不同的行为的动力学的轨迹距离之间的各种相关状态的系统状态准备后。这些界限比文献中类似的界限更容易计算,给出了迹距离增加的充分条件和必要条件,并与非Markovianity和初始系统浴相关性的证据有关。

英文摘要:

We investigate the preparation of a target initial state for a two-level (qubit) system from a system-environment equilibrium or correlated state by an external field. The system-environment equilibrium or correlated state results from the inevitable interaction of the system with its environment. An efficient method in an extended auxiliary Liouville space is introduced to describe the dynamics of the non-Markovian open quantum system in the presence of a strong field and an initial system-environment correlation. By using the time evolutions of the population difference, the state trajectory in the Bloch sphere representation and the trace distance between two reduced system states of the open quantum system, the effect of initial system-environment correlations on the preparation of a system state is studied. We introduce an upper bound and a lower bound for the trace distance within our perturbation formalism to describe the diverse behaviors of the dynamics of the trace distance between various correlated states after the system state preparation. These bounds that are much more computable than similar bounds in the literature give a sufficient condition and a necessary condition for the increase of the trace distance and are related to the witnesses of non-Markovianity and initial system-bath correlation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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