Spreading of entanglement and correlations after a quench with intertwined quasiparticles

Bastianello, Alvise; Calabrese, Pasquale

doi:10.21468/SciPostPhys.5.4.033

SciPost Physics

Spreading of entanglement and correlations after a quench with intertwined quasiparticles

Alvise Bastianello, Pasquale Calabrese

SciPost Phys. 5, 033 (2018) · published 15 October 2018

doi: 10.21468/SciPostPhys.5.4.033
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Abstract

We extend the semiclassical picture for the spreading of entanglement and correlations to quantum quenches with several species of quasiparticles that have non-trivial pair correlations in momentum space. These pair correlations are, for example, relevant in inhomogeneous lattice models with a periodically-modulated Hamiltonian parameter. We provide explicit predictions for the spreading of the entanglement entropy in the space-time scaling limit. We also predict the time evolution of one- and two-point functions of the order parameter for quenches within the ordered phase. We test all our predictions against exact numerical results for quenches in the Ising chain with a modulated transverse field and we find perfect agreement.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.5.4.033
TI  - Spreading of entanglement and correlations after a quench with intertwined quasiparticles
PY  - 2018/10/15
UR  - https://www.scipost.org/SciPostPhys.5.4.033
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 5
IS  - 4
SP  - 033
A1  - Bastianello, Alvise
AU  - Calabrese, Pasquale
AB  - We extend the semiclassical picture for the spreading of entanglement and correlations to quantum quenches with several species of quasiparticles that have non-trivial pair correlations in momentum space. These pair correlations are, for example, relevant in inhomogeneous lattice models with a periodically-modulated Hamiltonian parameter. We provide explicit predictions for the spreading of the entanglement entropy in the space-time scaling limit. We also predict the time evolution of one- and two-point functions of the order parameter for quenches within the ordered phase. We test all our predictions against exact numerical results for quenches in the Ising chain with a modulated transverse field and we find perfect agreement.
ER  -

@Article{10.21468/SciPostPhys.5.4.033,
	title={{Spreading of entanglement and correlations after a quench with intertwined quasiparticles}},
	author={Alvise Bastianello and Pasquale Calabrese},
	journal={SciPost Phys.},
	volume={5},
	pages={033},
	year={2018},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.5.4.033},
	url={https://scipost.org/10.21468/SciPostPhys.5.4.033},
}

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Ontology / Topics

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Correlation functions Entanglement Entanglement dynamics Quantum quenches Quasiparticles Transverse-field Ising chain

Authors / Affiliations: mappings to Contributors and Organizations

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¹ ² Alvise Bastianello,
¹ ² ³ Pasquale Calabrese

Funder for the research work leading to this publication

European Research Council [ERC]