Entanglement evolution and generalised hydrodynamics: noninteracting systems

Bertini, Bruno (author), Fagotti, Maurizio (author), Piroli, Lorenzo (author), Calabrese, Pasquale (author)

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.

• Language: English
• Keywords: non-equilibrium dynamics, many-body systems, quantum entanglement, quantum transport
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Year: 2018
• Number of pages: 12 str.
• Numbering: Vol. 51, art. no. 39LT01
• PID: 20.500.12556/RUL-105245
• UDC: 530.145
• ISSN on article: 1751-8113
• DOI: 10.1088/1751-8121/aad82e
• COBISS.SI-ID: 3265380
• Publication date in RUL: 14.11.2018

Record is a part of a journal

• Title: Journal of physics : Mathematical and theoretical
• Shortened title: J. phys., A, Math. theor.
• Publisher: IOP Publishing
• ISSN: 1751-8113
• COBISS.SI-ID: 3692314

Secondary language

• Language: Slovenian
• Keywords: neravnovesna dinamika, večdelčni sistemi, kvantna prepletenost, kvantni transport

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 694544
• Name: Open many-body non-equilibrium systems
• Acronym: OMNES