In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

Quantum atomic and molecular gases are flexible systems for studies of fundamental many-
body physics. They have traditionally been produced in harmonic electromagnetic traps and …

Thermodynamics originated in the need to understand novel technologies developed by the
Industrial Revolution. However, over the centuries, the description of engines, refrigerators …

Quantum phase transitions (QPTs) involve transformations between different states of matter
that are driven by quantum fluctuations. These fluctuations play a dominant part in the …

We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

How do closed quantum many-body systems driven out of equilibrium eventually achieve
equilibration? And how do these systems thermalize, given that they comprise so many …

This book introduces the emerging field of quantum thermodynamics, with a focus on its
relation to quantum information and its implications for quantum computers and next …

Experimental progress in atomic, molecular, and optical platforms in the last decade has
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …

We consider the Rabi Hamiltonian, which exhibits a quantum phase transition (QPT) despite
consisting only of a single-mode cavity field and a two-level atom. We prove QPT by deriving …

Understanding the behaviour of isolated quantum systems far from equilibrium and their
equilibration is one of the most pressing problems in quantum many-body physics,. There is …