Solvable class of non-Markovian quantum multipartite dynamics
Solvable class of non-Markovian quantum multipartite dynamics
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DOI：
10.1103/physreva.104.032206
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发表时间：
2021-09-08
影响因子：
2.9
通讯作者：
Garrahan, Juan P.
中科院分区：
文献类型：
--
作者：
Budini, Adrian A.;Garrahan, Juan P.
我们研究了一类具有任意个量子比特的系统的多体开放量子动力学。非马尔科夫量子主方程可以包含任意的单粒子或多粒子和依赖时间的耗散耦合机制，以Pauli算符串的形式表示。我们制定了保证这一动态完全积极的一般约束条件。我们详细描述了导致记忆效应的潜在机制，以及编码在相关系统速率中的动态特性。我们具体地推导出多部分的“永恒的”非马尔可夫主方程，我们称之为双曲和三角方程，因为它们的速率具有时间依赖性。对于这些模型，我们确定了正向速率和周期性发散速率之间的过渡。我们还通过可操作的(基于测量的)记忆见证方法来研究非马尔科夫效应。
We study a class of multipartite open quantum dynamics for systems with an arbitrary number of qubits. The non-Markovian quantum master equation can involve arbitrary single or multipartite and time-dependent dissipative coupling mechanisms, expressed in terms of strings of Pauli operators. We formulate the general constraints that guarantee the complete positivity of this dynamics. We characterize in detail the underlying mechanisms that lead to memory effects, together with properties of the dynamics encoded in the associated system rates. We specifically derive multipartite "eternal" non-Markovian master equations that we term hyperbolic and trigonometric due to the time dependence of their rates. For these models we identify a transition between positive and periodically divergent rates. We also study non-Markovian effects through an operational (measurement-based) memory witness approach.