We present an extensive introduction to quantum collision models (CMs), also known as
repeated interactions schemes: a class of microscopic system–bath models for investigating …

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

Studies of the dynamics of open quantum systems are limited by the large Hilbert space of
typical environments, which is too large to be treated exactly. In some cases, approximate …

Quantum dynamical maps provide suitable mathematical representation of quantum
evolutions. When representing quantum states by density operators, the evident …

Discoveries in quantum materials, which are characterized by the strongly quantum-
mechanical nature of electrons and atoms, have revealed exotic properties that arise from …

The field of classical stochastic processes forms a major branch of mathematics. Stochastic
processes are, of course, also very well studied in biology, chemistry, ecology, geology …

We develop a variational approach to simulating the dynamics of open quantum many-body
systems using deep autoregressive neural networks. The parameters of a compressed …

In the path integral formulation of the evolution of an open quantum system coupled to a
Gaussian, noninteracting environment, the dynamical contribution of the latter is encoded in …

Machine learning methods have proved to be useful for the recognition of patterns in
statistical data. The measurement outcomes are intrinsically random in quantum physics …

Describing a quantum impurity coupled to one or more noninteracting fermionic reservoirs is
a paradigmatic problem in quantum many-body physics. While historically the focus has …