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citation_title: Many-body localization characterized from a one-particle perspective
twitter:title: Many-body localization characterized from a one-particle perspective
og:site_name: arXiv.org
og:title: Many-body localization characterized from a one-particle perspective
citation_author: Bera, Soumya
citation_date: 2015/03/20
title: [1503.06147] Many-body localization characterized from a one-particle perspective
og:description: We show that the one-particle density matrix $?$ can be used to characterize the interaction-driven many-body localization transition in closed fermionic systems. The natural orbitals (the eigenstates of $?$) are localized in the many-body localized phase and spread out when one enters the delocalized phase, while the occupation spectrum (the set of eigenvalues of $?$) reveals the distinctive Fock-space structure of the many-body eigenstates, exhibiting a step-like discontinuity in the localized phase. The associated one-particle occupation entropy is small in the localized phase and large in the delocalized phase, with diverging fluctuations at the transition. We analyze the inverse participation ratio of the natural orbitals and find that it is independent of system size in the localized phase.
citation_arxiv_id: 1503.06147
citation_online_date: 2015/07/03
twitter:site: @arxiv
dc:title: [1503.06147] Many-body localization characterized from a one-particle perspective
citation_doi: 10.1103/PhysRevLett.115.046603
twitter:description: We show that the one-particle density matrix $?$ can be used to characterize the interaction-driven many-body localization transition in closed fermionic systems. The natural orbitals (the...
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citation_pdf_url: https://arxiv.org/pdf/1503.06147
og:url: https://arxiv.org/abs/1503.06147v3
Content-Language: en
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