We overview the concept of dynamical phase transitions (DPTs) in isolated quantum
systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized …

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 …

Interactions between atoms and light in optical cavities provide a means of investigating
collective (many-body) quantum physics in controlled environments. Such ensembles of …

When the continuous symmetry of a physical system is spontaneously broken, two types of
collective modes typically emerge: the amplitude and the phase modes of the order …

Laser-cooled and quantum degenerate atoms are being pursued as quantum simulators
and form the basis of today's most precise sensors. A key challenge toward these goals is to …

Abstract In conventional Bardeen–Cooper–Schrieffer superconductors, electrons with
opposite momenta bind into Cooper pairs due to an attractive interaction mediated by …

A proposed paradigm for out-of-equilibrium quantum systems is that an analog of quantum
phase transitions exists between parameter regimes of qualitatively distinct time-dependent …

We present a new variational method for investigating the ground state and out of
equilibrium dynamics of quantum many-body bosonic and fermionic systems. Our approach …

We study the nonequilibrium phase diagram and the dynamical phase transitions occurring
during the prethermalization of nonintegrable quantum spin chains, subject to either …

In equilibrium systems amplitude and phase collective modes are decoupled, as they are
mutually orthogonal excitations. The direct detection of these Higgs and Leggett collective …