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 …

We propose a scheme based on the neural-network quantum states to simulate the
stationary states of open quantum many-body systems. Using the high expressive power of …

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 …

Symmetry-breaking transitions are a well-understood phenomenon of closed quantum
systems in quantum optics, condensed matter, and high energy physics. However, symmetry …

We classify different ways to passively protect classical and quantum information, ie, we do
not allow for syndrome measurements, in the context of local Lindblad models for spin …

The dissipative variant of the Ising model in a transverse field is one of the most important
models in the analysis of open quantum many-body systems, due to its paradigmatic …

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

Modern day quantum simulators can prepare a wide variety of quantum states but the
accurate estimation of observables from tomographic measurement data often poses a …