In this article we provide a review of geometrical methods employed in the analysis of
quantum phase transitions and non-equilibrium dissipative phase transitions. After a …

Variational quantum algorithms have been proposed to solve static and dynamic problems
of closed many-body quantum systems. Here we investigate variational quantum simulation …

We generalize the classical thermal Mpemba effect (where an initially hot system relaxes
faster to the final equilibrium state than a cold one) to open quantum systems coupled to …

Ergodicity breaking and slow relaxation are intriguing aspects of nonequilibrium dynamics
both in classical and quantum settings. These phenomena are typically associated with …

We establish a link between metastability and a discrete time-crystalline phase in a
periodically driven open quantum system. The mechanism we highlight requires neither the …

Exceptional points (EPs) are degeneracies of classical and quantum open systems, which
are studied in many areas of physics including optics, optoelectronics, plasmonics, and …

Many-body systems constructed of quantum-optical building blocks can now be realized in
experimental platforms ranging from exciton-polariton fluids to ultracold Rydberg gases …

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 investigate the possibility of a bistable phase in an open many-body system. To this end,
we discuss the microscopic dynamics of a continuously off-resonantly driven Rydberg lattice …

We study the dynamics of lattice models of quantum spins one-half, driven by a coherent
drive and subject to dissipation. Generically the mean-field limit of these models manifests …