The synergy between non-Hermitian concepts and topological ideas have led to very fruitful
activity in the recent years. Their interplay has resulted in a wide variety of new non …

The past few years have witnessed a surge of interest in non-Hermitian Floquet topological
matter due to its exotic properties resulting from the interplay between driving fields and non …

Recent years have seen remarkable development in open quantum systems effectively
described by non-Hermitian Hamiltonians. A unique feature of non-Hermitian topological …

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

By analyzing the Lyapunov exponent (LE), we develop a rigorous, fundamental scheme for
the study of general non-Hermitian quasicrystals with both a complex phase factor and …

We perform a systematic symmetry classification of many-body Lindblad superoperators
describing general (interacting) open quantum systems coupled to a Markovian …

Spectral correlations are a powerful tool to study the dynamics of quantum many-body
systems. For Hermitian Hamiltonians, quantum chaotic motion is related to random matrix …

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 …

Anderson's groundbreaking discovery that the presence of stochastic imperfections in a
crystal may result in a sudden breakdown of conductivity revolutionized our understanding …

Spectral rigidity in Hermitian quantum chaotic systems signals the presence of dynamical
universal features at timescales that can be much shorter than the Heisenberg time. We …