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 …

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 …

The permutational invariance of identical two-level systems allows for an exponential
reduction in the computational resources required to study the Lindblad dynamics of …

The properties of coupled emitters can differ dramatically from those of their individual
constituents. Canonical examples include sub-and super-radiance, wherein the decay rate …

Recent theoretical work has shown that the competition between coherent unitary dynamics
and stochastic measurements, performed by the environment, along wave function …

We derive exact results for the Lindblad equation for a quantum spin chain (one-
dimensional quantum compass model) with dephasing noise. The system possesses doubly …

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 …

Quantum systems evolving unitarily and subject to quantum measurements exhibit various
types of non-equilibrium phase transitions, arising from the competition between unitary …

We demonstrate how the presence of continuous weak symmetry can be used to analytically
diagonalize the Liouvillian of a class of Markovian dissipative systems with strong …

We study the quantum dynamics of a many-body system subject to coherent evolution and
coupled to a non-Markovian bath. We propose a technique to unravel the non-Markovian …