Matrix Product States and Fractional Quantum Hall

ORAL

Abstract

We present an exact matrix product state expansion (MPS) for a large series of Jack polynomial wavefunctions which serve as Fractional Quantum Hall ground-states of pseudopotential Hamiltonians. Using the basis of descendants in Virasoro and W algebras we build MPS descriptions of the (k,2) Jacks which include the Moore-Read state and the Gaffnian state, as well as MPS representation of the Z$_3$ Read-Rezayi state. We then give a general method for computing MPS representations for other non-abelian states and their quasiholes.

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Authors

  • B. Andrei Bernevig

    • Princeton University

  • Benoit Estienne

    • Paris Jussieu

  • Nicolas Regnault

    • Princeton University/ Ecole normale superieure paris

  • Zlatko Papic

    • Princeton University