Equivalence of Effective Non-Hermitian Hamiltonians in the Context of Open Quantum Systems and Strongly Correlated Electron Systems
Equivalence of Effective Non-Hermitian Hamiltonians in the Context of Open Quantum Systems and Strongly Correlated Electron Systems
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DOI：
10.1103/physrevlett.124.196401
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发表时间：
2020-05-11
影响因子：
8.6
通讯作者：
Peters, Robert
中科院分区：
文献类型：
--
作者：
Michishita, Yoshihiro;Peters, Robert
近年来，人们已经清楚地认识到，非厄米现象不仅可以在经历增益和损失的开放量子系统中观察到，而且可以在强相关系统的平衡单粒子性质中观察到。然而，每个领域出现非厄米现象的环境和要求是完全不同的。虽然后选择的实现是观察开放量子系统中由非厄米哈密顿量控制的动力学的一个重大障碍，但在强相关系统中是不必要的。直到现在，两种非厄米现象的描述之间的关系还没有被揭示出来。在这篇论文中，我们缩小了这一差距，证明了在这两个领域中出现的非厄米哈密顿量是相同的，并阐明了在强相关材料中出现非厄米哈密顿量的条件。利用这些知识，我们通过研究开放量子系统和强相关系统的特定响应函数，提出了一种无需后选择就能分析非厄米性质的方法。
Recently, it has become clear that non-Hermitian phenomena can be observed not only in open quantum systems experiencing gain and loss but also in equilibrium single-particle properties of strongly correlated systems. However, the circumstances and requirements for the emergence of nonHermitian phenomena in each field are entirely different. While the implementation of postselection is a significant obstacle to observe the dynamics governed by a non-Hermitian Hamiltonian in open quantum systems, it is unnecessary in strongly correlated systems. Until now, a relation between both descriptions of non-Hermitian phenomena has not been revealed. In this Letter, we close this gap and demonstrate that the non-Hermitian Hamiltonians emerging in both fields are identical, and we clarify the conditions for the emergence of a non-Hermitian Hamiltonian in strongly correlated materials. Using this knowledge, we propose a method to analyze non-Hermitian properties without the necessity of postselection by studying specific response functions of open quantum systems and strongly correlated systems.