Colloquium: Nonequilibrium dynamics of closed interacting quantum systems

A Polkovnikov, K Sengupta, A Silva… - Reviews of Modern Physics, 2011 - APS
This Colloquium gives an overview of recent theoretical and experimental progress in the
area of nonequilibrium dynamics of isolated quantum systems. There is particularly a focus …

Dynamics of a quantum phase transition and relaxation to a steady state

J Dziarmaga - Advances in Physics, 2010 - Taylor & Francis
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 …

Quantum quench dynamics of the Luttinger model

A Iucci, MA Cazalilla - Physical Review A—Atomic, Molecular, and Optical …, 2009 - APS
The dynamics of the Luttinger model after a quantum quench is studied. We compute in
detail one-and two-point correlation functions for two types of quenches: from a …

Exotic freezing of response in a quantum many-body system

A Das - Physical Review B—Condensed Matter and Materials …, 2010 - APS
We show that when a quantum many-body system is subjected to coherent periodic driving,
the response may exhibit exotic freezing behavior in high driving frequency (ω) regime. In a …

Quantum quench from a thermal initial state

S Sotiriadis, P Calabrese, J Cardy - Europhysics Letters, 2009 - iopscience.iop.org
We consider a quantum quench in a system of free bosons, starting from a thermal initial
state. As in the case where the system is initially in the ground state, any finite subsystem …

Space and time renormalization in phase transition dynamics

A Francuz, J Dziarmaga, B Gardas, WH Zurek - Physical Review B, 2016 - APS
When a system is driven across a quantum critical point at a constant rate, its evolution must
become nonadiabatic as the relaxation time τ diverges at the critical point. According to the …

Statistical mechanics of Floquet quantum matter: Exact and emergent conservation laws

A Haldar, A Das - Journal of Physics: Condensed Matter, 2022 - iopscience.iop.org
Equilibrium statistical mechanics rests on the assumption of chaotic dynamics of a system
modulo the conservation laws of local observables: extremization of entropy immediately …

Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions

S Deng, G Ortiz, L Viola - Europhysics Letters, 2009 - iopscience.iop.org
We investigate the emergence of universal dynamical scaling in quantum critical spin
systems adiabatically driven out of equilibrium, with emphasis on quench dynamics which …

Dynamical relaxation of correlators in periodically driven integrable quantum systems

S Aditya, S Samanta, A Sen, K Sengupta, D Sen - Physical Review B, 2022 - APS
We show that the correlation functions of a class of periodically driven integrable closed
quantum systems approach their steady-state value as n−(α+ 1)/β, where n is the number of …

Aperiodically driven integrable systems and their emergent steady states

S Nandy, A Sen, D Sen - Physical Review X, 2017 - APS
Does a closed quantum many-body system that is continually driven with a time-dependent
Hamiltonian finally reach a steady state? This question has only recently been answered for …