Entanglement and diagonal entropies after a quench with no pair structure. (18th June 2018)

• Record Type: Journal Article
• Authors: Bertini, Bruno; Tartaglia, Elena; Calabrese, Pasquale
• Is Part Of: Journal of statistical mechanics. (2018:Jun.)
• Publication Date: 2018-06-18
• Subjects: 2 -- 1; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aac73f
• Languages: English
• ISSNs: 1742-5468

Abstract

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 ν -plets of correlated excitations with . 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.