Title: Quantum quench dynamics,
Abstract: Quench dynamics is an active area of study encompassing condensed matter
physics and quantum information, with applications to cold-atomic gases and
pump-probe spectroscopy of materials. Recent theoretical progress in studying
quantum quenches is reviewed. Quenches in interacting one dimensional systems
as well as systems in higher spatial dimensions are covered. The appearance of
non-trivial steady states following a quench in exactly solvable models is
discussed, and the stability of these states to perturbations is described.
Proper conserving approximations needed to capture the onset of thermalization
at long times are outlined. The appearance of universal scaling for quenches
near critical points, and the role of the renormalization group in capturing
the transient regime, are reviewed. Finally the effect of quenches near
critical points on the dynamics of entanglement entropy and entanglement
statistics is discussed. The extraction of critical exponents from the
entanglement statistics is outlined.