Avalanche of entanglement and correlations at quantum phase transitions

Abstract We study the ground-state entanglement in the quantum Ising model with nearest neighbor ferromagnetic coupling J and find a sequential increase of entanglement depth d with growing J. This entanglement avalanche starts with two-point entanglement, as measured by the concurrence, and continu...

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Autores principales:	Konstantin V. Krutitsky, Andreas Osterloh, Ralf Schützhold
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/86c96b25e60943fd91c3712534fd16a3
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spelling	oai:doaj.org-article:86c96b25e60943fd91c3712534fd16a32021-12-02T11:40:51ZAvalanche of entanglement and correlations at quantum phase transitions10.1038/s41598-017-03402-82045-2322https://doaj.org/article/86c96b25e60943fd91c3712534fd16a32017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-03402-8https://doaj.org/toc/2045-2322Abstract We study the ground-state entanglement in the quantum Ising model with nearest neighbor ferromagnetic coupling J and find a sequential increase of entanglement depth d with growing J. This entanglement avalanche starts with two-point entanglement, as measured by the concurrence, and continues via the three-tangle and four-tangle, until finally, deep in the ferromagnetic phase for J = ∞, arriving at a pure L-partite (GHZ type) entanglement of all L spins. Comparison with the two, three, and four-point correlations reveals a similar sequence and shows strong ties to the above entanglement measures for small J. However, we also find a partial inversion of the hierarchy, where the four-point correlation exceeds the three- and two-point correlations, well before the critical point is reached. Qualitatively similar behavior is also found for the Bose-Hubbard model, suggesting that this is a general feature of a quantum phase transition. This should be taken into account in the approximations starting from a mean-field limit.Konstantin V. KrutitskyAndreas OsterlohRalf SchützholdNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-8 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Konstantin V. Krutitsky Andreas Osterloh Ralf Schützhold Avalanche of entanglement and correlations at quantum phase transitions
description	Abstract We study the ground-state entanglement in the quantum Ising model with nearest neighbor ferromagnetic coupling J and find a sequential increase of entanglement depth d with growing J. This entanglement avalanche starts with two-point entanglement, as measured by the concurrence, and continues via the three-tangle and four-tangle, until finally, deep in the ferromagnetic phase for J = ∞, arriving at a pure L-partite (GHZ type) entanglement of all L spins. Comparison with the two, three, and four-point correlations reveals a similar sequence and shows strong ties to the above entanglement measures for small J. However, we also find a partial inversion of the hierarchy, where the four-point correlation exceeds the three- and two-point correlations, well before the critical point is reached. Qualitatively similar behavior is also found for the Bose-Hubbard model, suggesting that this is a general feature of a quantum phase transition. This should be taken into account in the approximations starting from a mean-field limit.
format	article
author	Konstantin V. Krutitsky Andreas Osterloh Ralf Schützhold
author_facet	Konstantin V. Krutitsky Andreas Osterloh Ralf Schützhold
author_sort	Konstantin V. Krutitsky
title	Avalanche of entanglement and correlations at quantum phase transitions
title_short	Avalanche of entanglement and correlations at quantum phase transitions
title_full	Avalanche of entanglement and correlations at quantum phase transitions
title_fullStr	Avalanche of entanglement and correlations at quantum phase transitions
title_full_unstemmed	Avalanche of entanglement and correlations at quantum phase transitions
title_sort	avalanche of entanglement and correlations at quantum phase transitions
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/86c96b25e60943fd91c3712534fd16a3
work_keys_str_mv	AT konstantinvkrutitsky avalancheofentanglementandcorrelationsatquantumphasetransitions AT andreasosterloh avalancheofentanglementandcorrelationsatquantumphasetransitions AT ralfschutzhold avalancheofentanglementandcorrelationsatquantumphasetransitions
_version_	1718395527724269568

Avalanche of entanglement and correlations at quantum phase transitions

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