Emergent Liouvillian exceptional points from exact principles

Shishir Khandelwal, Gianmichele Blasi
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Abstract

Recent years have seen a surge of interest in exceptional points in open quantum systems. The natural approach in this area has been the use of Markovian master equations. While the resulting Liouvillian EPs have been seen in a variety of systems and have been associated to numerous exotic effects, it is an open question whether such degeneracies and their peculiarities can persist beyond the validity of master equations. In this work, taking the example of a dissipative double-quantum-dot system, we show that Heisenberg equations for our system exhibit the same EPs as the corresponding master equations. To highlight the importance of this finding, we prove that the paradigmatic property associated to EPs - critical damping, persists well beyond the validity of master equations. Our results demonstrate that Liouvillian EPs can arise from underlying fundamental exact principles, rather than merely as a consequence of approximations involved in deriving master equations.
从精确原理出发的新兴刘维尔超常点
近年来,人们对开放量子系统中的超常点兴趣大增。这一领域的自然方法是使用马尔可夫主方程。虽然由此产生的Liouvillian EPs已经出现在各种系统中,并与许多奇异效应相关联,但这种退化性及其特殊性是否能超越主方程的有效性而存在,却是一个未决问题。在这项工作中,我们以耗散双量子点系统为例,证明我们系统的海森伯方程与相应的主方程表现出相同的 EPs。为了突出这一发现的重要性,我们证明了与 EP 相关的范式特性--临界阻尼--远远超出了主方程的有效性。我们的结果表明,Liouvillian EPs 可以从潜在的基本精确原理中产生,而不仅仅是推导主方程时的近似结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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