Tensor network and a black hole

Hiroaki Matsueda, Masafumi Ishihara, Yoichiro Hashizume

    Research output: Contribution to journalArticlepeer-review

    29 Citations (Scopus)

    Abstract

    A tensor-network variational formalism of thermofield dynamics is introduced. The formalism relates the original Hilbert space with its tilde space by a product of two copies of a tensor network. Then, their interface becomes an event horizon, and the logarithm of the tensor rank corresponds to the black hole entropy. Eventually, a multiscale entanglement renormalization ansatz reproduces an anti-de Sitter black hole at finite temperature. Our finding shows rich functionalities of multiscale entanglement renormalization ansatz as efficient graphical representation of AdS/CFT correspondence.

    Original languageEnglish
    Article number066002
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume87
    Issue number6
    DOIs
    Publication statusPublished - 2013 Mar 4

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics
    • Physics and Astronomy (miscellaneous)

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