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Phenomenology of fully many-body-localized systems

Author(s): Huse, David A; Nandkishore, Rahul; Oganesyan, Vadim

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dc.contributor.authorHuse, David A-
dc.contributor.authorNandkishore, Rahul-
dc.contributor.authorOganesyan, Vadim-
dc.date.accessioned2022-01-25T15:03:10Z-
dc.date.available2022-01-25T15:03:10Z-
dc.date.issued2014-11-13en_US
dc.identifier.citationHuse, David A, Nandkishore, Rahul, Oganesyan, Vadim. (Phenomenology of fully many-body-localized systems. Phys. Rev. B, 90 (174202 - ?. doi:10.1103/PhysRevB.90.174202en_US
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1g73737n-
dc.description.abstractWe consider fully many-body localized systems, i.e. isolated quantum systems where all the many-body eigenstates of the Hamiltonian are localized. We define a sense in which such systems are integrable, with localized conserved operators. These localized operators are interacting pseudospins, and the Hamiltonian is such that unitary time evolution produces dephasing but not "flips" of these pseudospins. As a result, an initial quantum state of a pseudospin can in principle be recovered via (pseudospin) echo procedures. We discuss how the exponentially decaying interactions between pseudospins lead to logarithmic-in-time spreading of entanglement starting from nonentangled initial states. These systems exhibit multiple different length scales that can be defined from exponential functions of distance; we suggest that some of these decay lengths diverge at the phase transition out of the fully many-body localized phase while others remain finite.en_US
dc.language.isoen_USen_US
dc.relation.ispartofPhys. Rev. Ben_US
dc.rightsFinal published version. Article is made available in OAR by the publisher's permission or policy.en_US
dc.titlePhenomenology of fully many-body-localized systemsen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1103/PhysRevB.90.174202-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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