We introduce a complex-plane generalization of the consecutive level-spacing ratio
distribution used to distinguish regular from chaotic quantum spectra. Our approach features …

A one-dimensional dissipative Hubbard model with two-body loss is shown to be exactly
solvable. We obtain an exact eigenspectrum of a Liouvillian superoperator by employing a …

The macroscopic fluctuation theory (MFT) is an effective framework to describe transports
and their fluctuations in classical out-of-equilibrium diffusive systems. Whether the MFT may …

Topological order offers possibilities for processing quantum information that can be
immune to imperfections. However, the question of its stability out of equilibrium is relevant …

We introduce families of one-dimensional Lindblad equations describing open many-
particle quantum systems that are exactly solvable in the following sense:(i) The space of …

The survival probability of an initial Coherent Gibbs State (CGS) is a natural extension of the
Spectral Form Factor (SFF) to open quantum systems. To quantify the interplay between …

Symmetries associated with complex conjugation and Hermitian conjugation, such as time-
reversal symmetry and pseudo-Hermiticity, have a great impact on the eigenvalue spectra of …

The connections between standard theoretical tools used to study open quantum systems
can sometimes seem opaque. Whether it is a Lindblad master equation, the equation of …

There have been concerted efforts in recent years to realize the next generation of clocks
using alkaline earth atoms in an optical lattice. Assuming that the atoms are independent …

In driven-dissipative systems, the presence of a strong symmetry guarantees the existence
of several steady states belonging to different symmetry sectors. Here we show that when a …