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arXiv 2102.10355quant-phmath-phmath.MP
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量子轨道的干涉

Interference of Quantum Trajectories

Brecht Donvil, Paolo Muratore-Ginanneschi

备注：
4 pages, 13 figures
发表信息：
"Quantum trajectory framework for general time-local master equations" Nat Commun 13, 4140 (2022)
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摘要：

我们将量子轨道理论扩展到包含一大类开放量子系统在{任意耦合强度}下与环境相互作用的演化。具体地说，我们证明了一般的时间局域量子主方程承认一个普通的跳跃随机微分方程所描述的解开。其充分条件是用一个概率伪测度对状态向量的蒙特卡罗平均值进行加权，我们称之为“影响鞅”。影响鞅满足一个受控于量子轨道的$ 1d $随机微分方程。我们的解释是，影响鞅模型在强系统-环境耦合的量子轨道的不同实现之间的干扰效应。我们的结果证明了对于完全有界可分的动力学映射，系统的希尔伯特空间中存在一个马尔可夫量子轨道图。此外，我们的结果提供了一个新的途径，通过自然扩展现有的理论，数值积分系统的大量的自由度。

英文摘要：

We extend quantum trajectory theory to encompass the evolution of a large class of open quantum systems interacting with an environment at {arbitrary coupling strength}. Specifically, we prove that general time-local quantum master equations admit an unraveling described by ordinary jump-stochastic differential equations. The sufficient condition is to weigh the state vector Monte Carlo averages by a probability pseudo-measure which we call the "influence martingale". The influence martingale satisfies a $ 1d $ stochastic differential equation enslaved to the ones governing the quantum trajectories. Our interpretation is that the influence martingale models interference effects between distinct realizations of quantum trajectories at strong system-environment coupling. Our result proves the existence of a Markovian quantum trajectory picture in the Hilbert space of the system for completely bounded divisible dynamical maps. Furthermore, our result provides a new avenue to numerically integrate systems with large numbers of degrees of freedom by naturally extending the existing theory.

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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