Benchmarking MPS for fractional quantum Hall states

ORAL

Abstract

We discuss the numerical apsects of the Matrix Product State (MPS) representation for a large series of Fractional Quantum Hall states. We benchmark the MPS for several model states such as the Read-Rezayi series using both overlap, energies, densities and pair correlation functions. We discuss how accurate this description is depending on the geometry (sphere, disk or cylinder). As an application, we use the MPS to compute the size of the quasiholes for the Read-Rezayi series.

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Authors

  • N. Regnault

    • Ecole Normale Superieure-CNRS / Princeton University
    • Princeton University, Ecole Normale Superieure and CNRS

  • Benoit Estienne

    • LPTHE, UPMC Universite Paris 06

  • Zlatko Papic

    • Princeton University

  • B. Andrei Bernevig

    • Princeton University