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Article: Statistically related many-body localization in the one-dimensional anyon Hubbard model

TitleStatistically related many-body localization in the one-dimensional anyon Hubbard model
Authors
Issue Date2020
PublisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prb/
Citation
Physical Review B: covering condensed matter and materials physics, 2020, v. 102 n. 5, article no. 054204 How to Cite?
AbstractMany-body localization (MBL) has been widely investigated for both fermions and bosons, it is, however, much less explored for anyons. Here we numerically calculate several physical characteristics related to MBL of a one-dimensional disordered anyon-Hubbard model in both localized and delocalized regions. We figure out a logarithmically slow growth of the half-chain entanglement entropy and an area-law rather than volume-law obedience for the highly excited eigenstates in the MBL phase. The adjacent energy level gap-ratio parameter is calculated and is found to exhibit a Poisson-like probability distribution in the deep MBL phase. By studying a hybridization parameter, we reveal an intriguing effect that the statistics can induce localization-delocalization transition. Several physical quantities, such as the half-chain entanglement, the adjacent energy level gap-ratio parameter, the long-time limit of the particle imbalance, and the critical disorder strength, are shown to be nonmonotonically dependent on the anyon statistical angle. Furthermore, a feasible scheme based on the spectroscopy of energy levels is proposed for the experimental observation of these statistically related properties.
Persistent Identifierhttp://hdl.handle.net/10722/286317
ISSN
2019 Impact Factor: 3.575
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorZhang, GQ-
dc.contributor.authorZhang, DW-
dc.contributor.authorLi, Z-
dc.contributor.authorWang, ZD-
dc.contributor.authorZhu, SL-
dc.date.accessioned2020-08-31T07:02:11Z-
dc.date.available2020-08-31T07:02:11Z-
dc.date.issued2020-
dc.identifier.citationPhysical Review B: covering condensed matter and materials physics, 2020, v. 102 n. 5, article no. 054204-
dc.identifier.issn2469-9950-
dc.identifier.urihttp://hdl.handle.net/10722/286317-
dc.description.abstractMany-body localization (MBL) has been widely investigated for both fermions and bosons, it is, however, much less explored for anyons. Here we numerically calculate several physical characteristics related to MBL of a one-dimensional disordered anyon-Hubbard model in both localized and delocalized regions. We figure out a logarithmically slow growth of the half-chain entanglement entropy and an area-law rather than volume-law obedience for the highly excited eigenstates in the MBL phase. The adjacent energy level gap-ratio parameter is calculated and is found to exhibit a Poisson-like probability distribution in the deep MBL phase. By studying a hybridization parameter, we reveal an intriguing effect that the statistics can induce localization-delocalization transition. Several physical quantities, such as the half-chain entanglement, the adjacent energy level gap-ratio parameter, the long-time limit of the particle imbalance, and the critical disorder strength, are shown to be nonmonotonically dependent on the anyon statistical angle. Furthermore, a feasible scheme based on the spectroscopy of energy levels is proposed for the experimental observation of these statistically related properties.-
dc.languageeng-
dc.publisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prb/-
dc.relation.ispartofPhysical Review B: covering condensed matter and materials physics-
dc.rightsCopyright 2020 by The American Physical Society. This article is available online at https://doi.org/10.1103/PhysRevB.102.054204.-
dc.titleStatistically related many-body localization in the one-dimensional anyon Hubbard model-
dc.typeArticle-
dc.identifier.emailWang, ZD: physhead@hku.hk-
dc.identifier.authorityWang, ZD=rp00802-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevB.102.054204-
dc.identifier.scopuseid_2-s2.0-85089874988-
dc.identifier.hkuros313891-
dc.identifier.volume102-
dc.identifier.issue5-
dc.identifier.spagearticle no. 054204-
dc.identifier.epagearticle no. 054204-
dc.identifier.isiWOS:000558591900002-
dc.publisher.placeUnited States-

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