Abstract The study of Bose–Einstein condensation effects in photonic systems has revealed
a rich phenomenology related to spontaneous coherence generation in driven-dissipative …

Coupling a quantum many-body system to an external environment dramatically changes its
dynamics and offers novel possibilities not found in closed systems. Of special interest are …

Exceptional points (EPs) correspond to degeneracies of open systems. These are attracting
much interest in optics, optoelectronics, plasmonics, and condensed matter physics. In the …

A state of an open quantum system is described by a density matrix, whose dynamics is
governed by a Liouvillian superoperator. Within a general framework, we explore …

The possibility to simulate the properties of many-body open quantum systems with a large
number of degrees of freedom (dof) is the premise to the solution of several outstanding …

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 …

We present a general variational approach to determine the steady state of open quantum
lattice systems via a neural-network approach. The steady-state density matrix of the lattice …

The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

Understanding dissipation in 2D quantum many-body systems is an open challenge which
has proven remarkably difficult. Here we show how numerical simulations for this problem …

Encoding quantum information onto bosonic systems is a promising route to quantum error
correction. In a cat code, this encoding relies on the confinement of the dynamics of the …