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Phenomenology of fully many-body-localized systems

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

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Abstract: We 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.
Publication Date: 13-Nov-2014
Citation: Huse, David A, Nandkishore, Rahul, Oganesyan, Vadim. (Phenomenology of fully many-body-localized systems. Phys. Rev. B, 90 (174202 - ?. doi:10.1103/PhysRevB.90.174202
DOI: doi:10.1103/PhysRevB.90.174202
Type of Material: Journal Article
Journal/Proceeding Title: Phys. Rev. B
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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