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

Language: English quantum statistical mechanics, integrable systems, quantum entanglement 1.01 - Original Scientific Article FMF - Faculty of Mathematics and Physics Postprint, final article version, accepted into publication 2018 31 str. Vol. 2018, art. no. 063104 20.500.12556/RUL-105237 536.93 1742-5468 10.1088/1742-5468/aac73f 3264868 13.11.2018 921 498 Kopiraj citat AddThis uses cookies that require your consent. Edit consent...

## Record is a part of a journal

Title: Journal of statistical mechanics J. stat. mech. IOP Publishing 1742-5468 21517607

## Secondary language

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

## Projects

Funder: EC - European Commission H2020 694544 Open many-body non-equilibrium systems OMNES

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