We develop a theory of symmetry in open quantum systems. Using the operator-state
map**, we characterize symmetry of Liouvillian superoperators for the open quantum …

The Ginibre unitary ensemble (GinUE) consists of $ N\times N $ random matrices with
independent complex standard Gaussian entries. This was introduced in 1965 by Ginbre …

Entanglement entropy is a fundamental concept with rising importance in various fields
ranging from quantum information science, black holes to materials science. In complex …

The study of entanglement in the symmetry sectors of a theory has recently attracted a lot of
attention since it provides better understanding of some aspects of quantum many-body …

The spectral statistics of non-Hermitian random matrices are of importance as a diagnostic
tool for chaotic behavior in open quantum systems. Here, we investigate the statistical …

A bstract In this paper, we introduce a new quantity called SVD entanglement entropy. This
is a generalization of entanglement entropy in that it depends on two different states, as in …

This topical review article reports rapid progress on the generalization and application of
entanglement in non-Hermitian free-fermion quantum systems. We begin by examining the …

The non-Hermitian skin effect, anomalous localization of an extensive number of eigenstates
induced by nonreciprocal dissipation, plays a pivotal role in non-Hermitian topology and …

The interplay between non-Hermiticity and disorder gives rise to unique universality classes
of Anderson transitions. Here, we develop a field-theoretical description of non-Hermitian …

The eigenstate thermalization hypothesis (ETH) represents a cornerstone in the theoretical
understanding of the emergence of thermal behavior in closed quantum systems. The ETH …