Bruno Bertini (Author), Elena Tartaglia (Author), Pasquale Calabrese (Author)

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.

Keywords

kvantna statistična mehanika;integrabilni sistemi;kvantna prepletenost;quantum statistical mechanics;integrable systems;quantum entanglement;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 536.93
COBISS: 3264868 Link will open in a new window
ISSN: 1742-5468
Views: 795
Downloads: 352
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Other data

Secondary language: Slovenian
Secondary keywords: kvantna statistična mehanika;integrabilni sistemi;kvantna prepletenost;
Embargo end date (OpenAIRE): 2019-06-18
Pages: 31 str.
Volume: ǂVol. ǂ2018
Issue: ǂart. no. ǂ063104
Chronology: June 2018
DOI: 10.1088/1742-5468/aac73f
ID: 10983608