Emergent Irreversibility and Entanglement Spectrum Statistics

    Authors

    C. Chamon; A. Hamma;E. R. Mucciolo

    Comments

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    Abbreviated Journal Title

    Phys. Rev. Lett.

    Keywords

    QUANTUM-SYSTEMS; TRANSITION; INSULATOR; DYNAMICS; Physics, Multidisciplinary

    Abstract

    We study the problem of irreversibility when the dynamical evolution of a many-body system is described by a stochastic quantum circuit. Such evolution is more general than a Hamiltonian one, and since energy levels are not well defined, the well-established connection between the statistical fluctuations of the energy spectrum and irreversibility cannot be made. We show that the entanglement spectrum provides a more general connection. Irreversibility is marked by a failure of a disentangling algorithm and is preceded by the appearance of Wigner-Dyson statistical fluctuations in the entanglement spectrum. This analysis can be done at the wave-function level and offers an alternative route to study quantum chaos and quantum integrability.

    Journal Title

    Physical Review Letters

    Volume

    112

    Issue/Number

    24

    Publication Date

    1-1-2014

    Document Type

    Article

    Language

    English

    First Page

    5

    WOS Identifier

    WOS:000337734700001

    ISSN

    0031-9007

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