论文标题
在简单的逼真的量子系统中,非马克维亚散发,量子Zeno效应和非热物理学的合并
Coalescence of non-Markovian dissipation, quantum Zeno effect and non-Hermitian physics, in a simple realistic quantum system
论文作者
论文摘要
描述开放量子系统的有效汉密尔顿的对角度是跟踪其特殊点的常用方法。尽管这种方法成功地跟踪马尔可夫系统中的EP,但在非马科维亚系统中可能存在问题,在非马克维亚系统中,有效的汉密尔顿的封闭表达可能不存在开放系统。在这项工作中,我们使用实验可测量的数量(即量子量的有效衰减率)提供了一种在开放量子系统中跟踪EP的替代方法。所考虑的量子系统由两个非相同的相互作用量子位组成,其中一个与外部环境耦合。我们根据时间依赖性的Schrodinger运动方程来开发一个理论框架,该方程为边界储层的任意频谱密度提供了Qubit幅度的Laplace变换的分析封闭形式解。详细讨论了与环境间接相互作用的量子量衰减率的峰值结构与量子Zeno效应的发作之间的联系,详细讨论了量子ZENO效应的效果,揭示了后者与存在特殊点之间的连接。我们的治疗和结果还揭示了非马克维亚动力学,量子Zeno效应与非富特物理学之间的复杂相互作用
Diagonalization of the effective Hamiltonian describing an open quantum system is the usual method of tracking its exceptional points. Although, such a method is successful for tracking EPs in Markovian systems, it may be problematic in non-Markovian systems where a closed expression of the effective Hamiltonian describing the open system may not exist. In this work we provide an alternative method of tracking EPs in open quantum systems, using an experimentally measurable quantity, namely the effective decay rate of a qubit. The quantum system under consideration consists of two non-identical interacting qubits, one of which is coupled to an external environment. We develop a theoretical framework in terms of the time-dependent Schrodinger equation of motion, which provides analytical closed form solutions of the Laplace transforms of the qubit amplitudes for an arbitrary spectral density of the boundary reservoir. The link between the peaked structure of the effective decay rate of the qubit that interacts indirectly with the environment, and the onset of the quantum Zeno effect, is discussed in great detail revealing the connections between the latter and the presence of exceptional points. Our treatment and results have in addition revealed an intricate interplay between non-Markovian dynamics, quantum Zeno effect and non-Hermitian physics