Conformal field theory out of equilibrium: a review

D Bernard, B Doyon - Journal of Statistical Mechanics: Theory …, 2016 - iopscience.iop.org
We provide a pedagogical review of the main ideas and results in non-equilibrium conformal
field theory and connected subjects. These concern the understanding of quantum transport …

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 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 …

Isolated Heisenberg magnet as a quantum time crystal

M Medenjak, B Buča, D Jaksch - Physical Review B, 2020 - APS
We demonstrate analytically and numerically that the paradigmatic model of quantum
magnetism, the Heisenberg XXZ spin chain, does not equilibrate. It constitutes an example …

Thermalization and pseudolocality in extended quantum systems

B Doyon - Communications in Mathematical Physics, 2017 - Springer
Recently, it was understood that modified concepts of locality played an important role in the
study of extended quantum systems out of equilibrium, in particular in so-called generalized …

Stationary state degeneracy of open quantum systems with non-abelian symmetries

Z Zhang, J Tindall, J Mur-Petit, D Jaksch… - Journal of Physics A …, 2020 - iopscience.iop.org
We study the null space degeneracy of open quantum systems with multiple non-abelian,
strong symmetries. By decomposing the Hilbert space representation of these symmetries …

From the quantum transfer matrix to the quench action: the Loschmidt echo in XXZ Heisenberg spin chains

L Piroli, B Pozsgay, E Vernier - Journal of Statistical Mechanics …, 2017 - iopscience.iop.org
We consider the computation of the Loschmidt echo after quantum quenches in the
interacting XXZ Heisenberg spin chain both for real and imaginary times. We study two-site …

Thermality of eigenstates in conformal field theories

P Basu, D Das, S Datta, S Pal - Physical Review E, 2017 - APS
The eigenstate thermalization hypothesis (ETH) provides a way to understand how an
isolated quantum mechanical system can be approximated by a thermal density matrix. We …

Exact solution for the quench dynamics of a nested integrable system

M Mestyán, B Bertini, L Piroli… - Journal of Statistical …, 2017 - iopscience.iop.org
Integrable models provide an exact description for a wide variety of physical phenomena.
For example nested integrable systems contain different species of interacting particles with …

Correlations and diagonal entropy after quantum quenches in XXZ chains

L Piroli, E Vernier, P Calabrese, M Rigol - Physical Review B, 2017 - APS
We study quantum quenches in the XXZ spin-1/2 Heisenberg chain from families of
ferromagnetic and antiferromagnetic initial states. Using Bethe ansatz techniques, we …