The large-scale properties of homogeneous states after quantum quenches in integrable systems have been successfully described by a semiclassical picture of moving quasiparticles. Here we consider the generalisation for the entanglement evolution after an inhomogeneous quench in noninteracting systems in the framework of generalised hydrodynamics. We focus on the protocol where two semi-infinite halves are initially prepared in different states and then joined together, showing that a proper generalisation of the quasiparticle picture leads to exact quantitative predictions. If the system is initially prepared in a quasistationary state, we find that the entanglement entropy is additive and it can be computed by means of generalised hydrodynamics. Conversely, additivity is lost when the initial state is not quasistationary; yet the entanglement entropy in the large-scale limit can be exactly predicted in the quasiparticle picture, provided that the initial state is low entangled.

Entanglement evolution and generalised hydrodynamics: Noninteracting systems / Bruno Bertini; Maurizio Fagotti; Lorenzo Piroli; Pasquale Calabrese. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - ELETTRONICO. - 51:39(2018), pp. 39LT01.39LT01-1-39LT01.39LT01-12. [10.1088/1751-8121/aad82e]

Entanglement evolution and generalised hydrodynamics: Noninteracting systems

Lorenzo Piroli;
2018

Abstract

The large-scale properties of homogeneous states after quantum quenches in integrable systems have been successfully described by a semiclassical picture of moving quasiparticles. Here we consider the generalisation for the entanglement evolution after an inhomogeneous quench in noninteracting systems in the framework of generalised hydrodynamics. We focus on the protocol where two semi-infinite halves are initially prepared in different states and then joined together, showing that a proper generalisation of the quasiparticle picture leads to exact quantitative predictions. If the system is initially prepared in a quasistationary state, we find that the entanglement entropy is additive and it can be computed by means of generalised hydrodynamics. Conversely, additivity is lost when the initial state is not quasistationary; yet the entanglement entropy in the large-scale limit can be exactly predicted in the quasiparticle picture, provided that the initial state is low entangled.
2018
Entanglement evolution and generalised hydrodynamics: Noninteracting systems / Bruno Bertini; Maurizio Fagotti; Lorenzo Piroli; Pasquale Calabrese. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - ELETTRONICO. - 51:39(2018), pp. 39LT01.39LT01-1-39LT01.39LT01-12. [10.1088/1751-8121/aad82e]
Bruno Bertini; Maurizio Fagotti; Lorenzo Piroli; Pasquale Calabrese
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/941483
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