Quantum Phase Transition and Entanglement in Topological Quantum Wires

Abstract We investigate the quantum phase transition of the Su-Schrieffer-Heeger (SSH) model by inspecting the two-site entanglements in the ground state. It is shown that the topological phase transition of the SSH model is signified by a nonanalyticity of local entanglement, which becomes disconti...

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Autores principales:	Jaeyoon Cho, Kun Woo Kim
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/48c3dd01cd4f44b59e8ff6a93ce180b8
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spelling	oai:doaj.org-article:48c3dd01cd4f44b59e8ff6a93ce180b82021-12-02T15:05:42ZQuantum Phase Transition and Entanglement in Topological Quantum Wires10.1038/s41598-017-02717-w2045-2322https://doaj.org/article/48c3dd01cd4f44b59e8ff6a93ce180b82017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-02717-whttps://doaj.org/toc/2045-2322Abstract We investigate the quantum phase transition of the Su-Schrieffer-Heeger (SSH) model by inspecting the two-site entanglements in the ground state. It is shown that the topological phase transition of the SSH model is signified by a nonanalyticity of local entanglement, which becomes discontinuous for finite even system sizes, and that this nonanalyticity has a topological origin. Such a peculiar singularity has a universal nature in one-dimensional topological phase transitions of noninteracting fermions. We make this clearer by pointing out that an analogous quantity in the Kitaev chain exhibiting the identical nonanalyticity is the local electron density. As a byproduct, we show that there exists a different type of phase transition, whereby the pattern of the two-site entanglements undergoes a sudden change. This transition is characterised solely by quantum information theory and does not accompany the closure of the spectral gap. We analyse the scaling behaviours of the entanglement in the vicinities of the transition points.Jaeyoon ChoKun Woo KimNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-9 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Jaeyoon Cho Kun Woo Kim Quantum Phase Transition and Entanglement in Topological Quantum Wires
description	Abstract We investigate the quantum phase transition of the Su-Schrieffer-Heeger (SSH) model by inspecting the two-site entanglements in the ground state. It is shown that the topological phase transition of the SSH model is signified by a nonanalyticity of local entanglement, which becomes discontinuous for finite even system sizes, and that this nonanalyticity has a topological origin. Such a peculiar singularity has a universal nature in one-dimensional topological phase transitions of noninteracting fermions. We make this clearer by pointing out that an analogous quantity in the Kitaev chain exhibiting the identical nonanalyticity is the local electron density. As a byproduct, we show that there exists a different type of phase transition, whereby the pattern of the two-site entanglements undergoes a sudden change. This transition is characterised solely by quantum information theory and does not accompany the closure of the spectral gap. We analyse the scaling behaviours of the entanglement in the vicinities of the transition points.
format	article
author	Jaeyoon Cho Kun Woo Kim
author_facet	Jaeyoon Cho Kun Woo Kim
author_sort	Jaeyoon Cho
title	Quantum Phase Transition and Entanglement in Topological Quantum Wires
title_short	Quantum Phase Transition and Entanglement in Topological Quantum Wires
title_full	Quantum Phase Transition and Entanglement in Topological Quantum Wires
title_fullStr	Quantum Phase Transition and Entanglement in Topological Quantum Wires
title_full_unstemmed	Quantum Phase Transition and Entanglement in Topological Quantum Wires
title_sort	quantum phase transition and entanglement in topological quantum wires
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/48c3dd01cd4f44b59e8ff6a93ce180b8
work_keys_str_mv	AT jaeyooncho quantumphasetransitionandentanglementintopologicalquantumwires AT kunwookim quantumphasetransitionandentanglementintopologicalquantumwires
_version_	1718388701421109248

Quantum Phase Transition and Entanglement in Topological Quantum Wires

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