论文标题

在开放量子系统和强相关的电子系统的背景下,有效的非热汉尔顿人的等效性

Equivalence of the effective non-hermitian Hamiltonians in the context of open quantum systems and strongly-correlated electron systems

论文作者

Michishita, Yoshihiro, Peters, Robert

论文摘要

最近,很明显,不仅可以在具有增益和损失的开放量子系统中观察到非炎症现象,而且在紧密相关的系统的平衡单粒子特性中也可以观察到。但是,每个领域中非武术现象出现的情况和要求都是完全不同的。虽然在开放量子系统中观察非炎症现象的实施是一个重要的障碍,但在密切相关的系统中,这是不必要的。 到目前为止,尚未揭示非血症现象的两种描述之间的关系。在本文中,我们缩小了这一差距,并证明了两个领域中出现的非热汉顿人都是相同的,并且我们阐明了在密切相关的材料中出现的非温米特人哈密顿量的条件。利用这些知识,我们提出了一种分析非富特性的方法,而无需通过研究开放量子系统的特定响应函数和密切相关的系统,而无需选择后。

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 non-hermitian phenomena in each field are entirely different. While the implementation of postselection is a significant obstacle to observe non-hermitian phenomena 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 paper, 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.

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