Originally developed in the context of condensed-matter physics and based on
renormalization group ideas, tensor networks have been revived thanks to quantum …

Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

Quantum master equations are an invaluable tool to model the dynamics of a plethora of
microscopic systems, ranging from quantum optics and quantum information processing to …

We consider the nonequilibrium time evolution of piecewise homogeneous states in the XXZ
spin-1/2 chain, a paradigmatic example of an interacting integrable model. The initial state …

In experimentally realistic situations, quantum systems are never perfectly isolated and the
coupling to their environment needs to be taken into account. Often, the effect of the …

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 …

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 …

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 …

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 …

Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying
quantum field theories, and has led to impressive achievements. In particular, it significantly …