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Entanglement and diagonal entropies after a quench with no pair structure
ID Bertini, Bruno (Author), ID Tartaglia, Elena (Author), ID Calabrese, Pasquale (Author)

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Abstract
A typical working condition in the study of quantum quenches is that the initial state produces a distribution of quasiparticle excitations with an opposite-momentum-pair structure. In this work we investigate the dynamical and stationary properties of the entanglement entropy after a quench from initial states which do not have such structure: instead of pairs of excitations they generate $\nu$-plets of correlated excitations with $\nu$ > 2. Our study is carried out focusing on a system of non-interacting fermions on the lattice. We study the time evolution of the entanglement entropy showing that the standard semiclassical formula is not applicable. We propose a suitable generalisation which correctly describes the entanglement entropy evolution and perfectly matches numerical data. We finally consider the relation between the thermodynamic entropy of the stationary state and the diagonal entropy, showing that when there is no pair structure their ratio depends on the details of the initial state and lies generically between 1/2 and 1.

Language:English
Keywords:quantum statistical mechanics, integrable systems, quantum entanglement
Typology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Publication version:Author Accepted Manuscript
Year:2018
Number of pages:31 str.
Numbering:Vol. 2018, art. no. 063104
PID:20.500.12556/RUL-105237 This link opens in a new window
UDC:536.93
ISSN on article:1742-5468
DOI:10.1088/1742-5468/aac73f This link opens in a new window
COBISS.SI-ID:3264868 This link opens in a new window
Publication date in RUL:13.11.2018
Views:1235
Downloads:540
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Record is a part of a journal

Title:Journal of statistical mechanics
Shortened title:J. stat. mech.
Publisher:IOP Publishing
ISSN:1742-5468
COBISS.SI-ID:21517607 This link opens in a new window

Secondary language

Language:Slovenian
Keywords:kvantna statistična mehanika, integrabilni sistemi, kvantna prepletenost

Projects

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

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