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arXiv 2006.03264quant-ph
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具有局域和集体耗散过程的开放量子系统的相空间理论

Phase space theory for open quantum systems with local and collective dissipative processes

Konrad Merkel, Valentin Link, Kimmo Luoma, Walter T. Strunz

摘要:

在这篇文章中,我们研究了由马尔可夫主方程给出的具有集体耗散和非集体耗散的二能级系统系综的受驱动耗散量子动力学。利用我们的模型中的置换对称性,我们采用相空间方法的解决方案,这个方程的对角表示相对于某些广义自旋相干态。值得注意的是,这允许平均场论和有限系统大小之间的插值在形式主义独立的希尔伯特空间维度。此外,在某些参数制度,相应的准概率分布的演化方程类似于福克-普朗克方程,可以有效地解决随机微积分。然后,动力学可以被看作是经典的意义上,没有纠缠的两个能级系统之间的产生。我们的研究结果暴露,利用和促进技术开创的激光理论的背景下,我们现在适用于当前的理论和实验兴趣的问题。

英文摘要:

In this article we investigate driven dissipative quantum dynamics of an ensemble of two-level systems given by a Markovian master equation with collective and non-collective dissipators. Exploiting the permutation symmetry in our model, we employ a phase space approach for the solution of this equation in terms of a diagonal representation with respect to certain generalized spin coherent states. Remarkably, this allows to interpolate between mean-field theory and finite system size in a formalism independent of Hilbert-space dimension. Moreover, in certain parameter regimes, the evolution equation for the corresponding quasiprobability distribution resembles a Fokker-Planck equation, which can be efficiently solved by stochastic calculus. Then, the dynamics can be seen as classical in the sense that no entanglement between the two-level systems is generated. Our results expose, utilize and promote techniques pioneered in the context of laser theory, which we now apply to problems of current theoretical and experimental interest.

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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