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 …

We review recent theoretical work on two closely related issues: excitation of an isolated
quantum condensed matter system driven adiabatically across a continuous quantum phase …

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 …

Entanglement is considered an essential resource in quantum technologies, and central to
the understanding of quantum many-body physics. Developing protocols to detect and …

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

Quantum chaos refers to signatures of classical chaos found in the quantum domain.
Recently, it has become common to equate the exponential behavior of out-of-time order …

We review the quantum fidelity approach to quantum phase transitions in a pedagogical
manner. We try to relate all established but scattered results on the leading term of the …

In both classical and quantum many-body physics, it is a core issue to characterize statistical
correlations among different degrees of freedom. From this point of view, a natural question …

Controlling and measuring the temperature in different devices and platforms that operate in
the quantum regime is, without any doubt, essential for any potential application. In this …

A review of coherent and collective quantum optical effects like superradiance and coherent
population trapping in mesoscopic systems is presented. Various new physical realizations …