Excited-state fidelity as a signal for the many-body localization transition in a disordered Ising chain

In this work, we use exact matrix diagonalization to explore the many-body localization (MBL) transitions in quantum Ising chains with disordered nearest-neighbour couplings, disordered next-nearest-neighbour couplings and disordered external fields. It is demonstrated that the fidelity can be used...

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Autores principales:	Taotao Hu, Kang Xue, Xiaodan Li, Yan Zhang, Hang Ren
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/47ff9514400941d38287f3bdb29f65cc
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spelling	oai:doaj.org-article:47ff9514400941d38287f3bdb29f65cc2021-12-02T15:06:22ZExcited-state fidelity as a signal for the many-body localization transition in a disordered Ising chain10.1038/s41598-017-00660-42045-2322https://doaj.org/article/47ff9514400941d38287f3bdb29f65cc2017-04-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-00660-4https://doaj.org/toc/2045-2322In this work, we use exact matrix diagonalization to explore the many-body localization (MBL) transitions in quantum Ising chains with disordered nearest-neighbour couplings, disordered next-nearest-neighbour couplings and disordered external fields. It is demonstrated that the fidelity can be used to characterize the interaction-driven MBL transition in this closed spin system in a manner that is consistent with previous analytical and numerical results. We compute the fidelity for high-energy many-body eigenstates, namely, the excited-state fidelity. It is demonstrated that disordered nearest-neighbour couplings, disordered next-nearest-neighbour couplings and disordered external fields each have different effects on the MBL transition. Furthermore, we investigate the MBL transition of a quantum Ising chain with both disordered nearest-neighbour couplings and disordered next-nearest-neighbour couplings to see how these two types of disordered couplings drive the occurrence of the MBL transition.Taotao HuKang XueXiaodan LiYan ZhangHang RenNature 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 Taotao Hu Kang Xue Xiaodan Li Yan Zhang Hang Ren Excited-state fidelity as a signal for the many-body localization transition in a disordered Ising chain
description	In this work, we use exact matrix diagonalization to explore the many-body localization (MBL) transitions in quantum Ising chains with disordered nearest-neighbour couplings, disordered next-nearest-neighbour couplings and disordered external fields. It is demonstrated that the fidelity can be used to characterize the interaction-driven MBL transition in this closed spin system in a manner that is consistent with previous analytical and numerical results. We compute the fidelity for high-energy many-body eigenstates, namely, the excited-state fidelity. It is demonstrated that disordered nearest-neighbour couplings, disordered next-nearest-neighbour couplings and disordered external fields each have different effects on the MBL transition. Furthermore, we investigate the MBL transition of a quantum Ising chain with both disordered nearest-neighbour couplings and disordered next-nearest-neighbour couplings to see how these two types of disordered couplings drive the occurrence of the MBL transition.
format	article
author	Taotao Hu Kang Xue Xiaodan Li Yan Zhang Hang Ren
author_facet	Taotao Hu Kang Xue Xiaodan Li Yan Zhang Hang Ren
author_sort	Taotao Hu
title	Excited-state fidelity as a signal for the many-body localization transition in a disordered Ising chain
title_short	Excited-state fidelity as a signal for the many-body localization transition in a disordered Ising chain
title_full	Excited-state fidelity as a signal for the many-body localization transition in a disordered Ising chain
title_fullStr	Excited-state fidelity as a signal for the many-body localization transition in a disordered Ising chain
title_full_unstemmed	Excited-state fidelity as a signal for the many-body localization transition in a disordered Ising chain
title_sort	excited-state fidelity as a signal for the many-body localization transition in a disordered ising chain
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/47ff9514400941d38287f3bdb29f65cc
work_keys_str_mv	AT taotaohu excitedstatefidelityasasignalforthemanybodylocalizationtransitioninadisorderedisingchain AT kangxue excitedstatefidelityasasignalforthemanybodylocalizationtransitioninadisorderedisingchain AT xiaodanli excitedstatefidelityasasignalforthemanybodylocalizationtransitioninadisorderedisingchain AT yanzhang excitedstatefidelityasasignalforthemanybodylocalizationtransitioninadisorderedisingchain AT hangren excitedstatefidelityasasignalforthemanybodylocalizationtransitioninadisorderedisingchain
_version_	1718388445527670784

Excited-state fidelity as a signal for the many-body localization transition in a disordered Ising chain

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