Many-body localization in the Fock space of natural orbitals

We study the eigenstates of a paradigmatic model of many-body localization in the Fock basis constructed out of the natural orbitals. By numerically studying the participation ratio, we identify a sharp crossover between different phases at a disorder strength close to the disorder strength at wh...

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Main Author: Wouter Buijsman, Vladimir Gritsev, Vadim Cheianov
Format: Article
Language:English
Published: SciPost 2018-06-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.4.6.038
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spelling doaj-9b3a356f891f42fbaccef18a09ead2032020-11-24T20:41:41ZengSciPostSciPost Physics2542-46532018-06-014603810.21468/SciPostPhys.4.6.038Many-body localization in the Fock space of natural orbitalsWouter Buijsman, Vladimir Gritsev, Vadim CheianovWe study the eigenstates of a paradigmatic model of many-body localization in the Fock basis constructed out of the natural orbitals. By numerically studying the participation ratio, we identify a sharp crossover between different phases at a disorder strength close to the disorder strength at which subdiffusive behaviour sets in, significantly below the many-body localization transition. We repeat the analysis in the conventionally used computational basis, and show that many-body localized eigenstates are much stronger localized in the Fock basis constructed out of the natural orbitals than in the computational basis.https://scipost.org/SciPostPhys.4.6.038
collection DOAJ
language English
format Article
sources DOAJ
author Wouter Buijsman, Vladimir Gritsev, Vadim Cheianov
spellingShingle Wouter Buijsman, Vladimir Gritsev, Vadim Cheianov
Many-body localization in the Fock space of natural orbitals
SciPost Physics
author_facet Wouter Buijsman, Vladimir Gritsev, Vadim Cheianov
author_sort Wouter Buijsman, Vladimir Gritsev, Vadim Cheianov
title Many-body localization in the Fock space of natural orbitals
title_short Many-body localization in the Fock space of natural orbitals
title_full Many-body localization in the Fock space of natural orbitals
title_fullStr Many-body localization in the Fock space of natural orbitals
title_full_unstemmed Many-body localization in the Fock space of natural orbitals
title_sort many-body localization in the fock space of natural orbitals
publisher SciPost
series SciPost Physics
issn 2542-4653
publishDate 2018-06-01
description We study the eigenstates of a paradigmatic model of many-body localization in the Fock basis constructed out of the natural orbitals. By numerically studying the participation ratio, we identify a sharp crossover between different phases at a disorder strength close to the disorder strength at which subdiffusive behaviour sets in, significantly below the many-body localization transition. We repeat the analysis in the conventionally used computational basis, and show that many-body localized eigenstates are much stronger localized in the Fock basis constructed out of the natural orbitals than in the computational basis.
url https://scipost.org/SciPostPhys.4.6.038
work_keys_str_mv AT wouterbuijsmanvladimirgritsevvadimcheianov manybodylocalizationinthefockspaceofnaturalorbitals
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