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  • Onsager’s scars in non-integrable spin chains
  • 작성자 관리자 등록일 2020-08-03 조회수 394
  • Onsager’s scars in non-integrable spin chains

    VENUE Online

    PEROID 8.7(Fri.), 2020 / 14:00 (KST)

    ABSTRACT

      The algebraic construction of the eigenstates of a Hamiltonian (or other conserved charges) is at the heart of quantum integrable models. Usually, this fails miserably in non-integrable models. However, recent studies on quantum many-body scar (QMBS) states have revealed a class of non-integrable models in which towers of exact eigenstates are built up by repeatedly acting with a certain “creation operator” on a simple (low-entanglement) state. Examples of such models include the Affleck-Kennedy-Lieb-Tasaki and the spin-1 XY models. The eigenstates constructed this way have low entanglement even though their energies are in the middle of spectrum, and thus violate the strong Eigenstate Thermalization Hypothesis (ETH).

     

    In this talk, I will show that an infinite sequence of non-integrable models with QMBS can be constructed using the so-called Onsager algebra. Interestingly, this construction allows for the Hamiltonianm to be spatially inhomogeneous. I will also show that the dynamics from a special class of initial states exhibits persistent many-body revivals. If time permits, I will talk about another algebraic approach to construct a class of models with QMBS.

     

    INVITED SPEAKER

    Name

    Affiliation

         Hosho Katsura           University of Tokyo

     

    ORGANIZER

    Name

    Affiliation

    Gil Young Cho

    POSTECH

     

     

    WEBSITE
    https://www.apctp.org/plan.php/TQM4

     

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    SPONSOR
    APCTP

     

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