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.

Spreading of entanglement and correlations after a quench with intertwined quasiparticles / Bastianello, Alvise; Calabrese, Pasquale. - In: SCIPOST PHYSICS. - ISSN 2542-4653. - 5:4(2018), pp. 1-24. [10.21468/SciPostPhys.5.4.033]

Spreading of entanglement and correlations after a quench with intertwined quasiparticles

Bastianello, Alvise;Calabrese, Pasquale
2018-01-01

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.
2018
5
4
1
24
033
10.21468/SciPostPhys.5.4.033
https://arxiv.org/abs/1807.10176v2
Bastianello, Alvise; Calabrese, Pasquale
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/85594
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