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 …

Simulating quantum materials with digital quantum computers

LB Oftelie, M Urbanek, M Metcalf, J Carter… - Quantum Science …, 2021 - iopscience.iop.org
Quantum materials exhibit a wide array of exotic phenomena and practically useful
properties. A better understanding of these materials can provide deeper insights into …

Quench dynamics and relaxation in isolated integrable quantum spin chains

FHL Essler, M Fagotti - Journal of Statistical Mechanics: Theory …, 2016 - iopscience.iop.org
We review the dynamics after quantum quenches in integrable quantum spin chains. We
give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the …

Quantum quench in the transverse-field Ising chain

P Calabrese, FHL Essler, M Fagotti - Physical review letters, 2011 - APS
We consider the time evolution of observables in the transverse-field Ising chain after a
sudden quench of the magnetic field. We provide exact analytical results for the asymptotic …

Quantum quenches in 1+ 1 dimensional conformal field theories

P Calabrese, J Cardy - Journal of Statistical Mechanics: Theory …, 2016 - iopscience.iop.org
We review the imaginary time path integral approach to the quench dynamics of conformal
field theories. We show how this technique can be applied to the determination of the time …

Extended slow dynamical regime close to the many-body localization transition

DJ Luitz, N Laflorencie, F Alet - Physical Review B, 2016 - APS
Many-body localization is characterized by a slow logarithmic growth of the entanglement
entropy after a global quantum quench while the local memory of an initial density …

Time evolution of local observables after quenching to an integrable model

JS Caux, FHL Essler - Physical review letters, 2013 - APS
We consider quantum quenches in integrable models. We argue that the behavior of local
observables at late times after the quench is given by their expectation values with respect to …

Many-Body Localization in One Dimension as a Dynamical<? format?> Renormalization Group Fixed Point

R Vosk, E Altman - Physical review letters, 2013 - APS
We formulate a dynamical real space renormalization group (RG) approach to describe the
time evolution of a random spin-1/2 chain, or interacting fermions, initialized in a state with …

Quantum quench in the transverse field Ising chain: I. Time evolution of order parameter correlators

P Calabrese, FHL Essler, M Fagotti - Journal of Statistical …, 2012 - iopscience.iop.org
We consider the time evolution of order parameter correlation functions after a sudden
quantum quench of the magnetic field in the transverse field Ising chain. Using two novel …

Quenching the anisotropic Heisenberg chain: exact solution and generalized Gibbs ensemble predictions

B Wouters, J De Nardis, M Brockmann, D Fioretto… - Physical review …, 2014 - APS
We study quenches in integrable spin-1/2 chains in which we evolve the ground state of the
antiferromagnetic Ising model with the anisotropic Heisenberg Hamiltonian. For this …