Rank Saturation in finite size Entanglement Spectrum for Quantum Hall states

ORAL

Abstract

We investigate analytically in finite size the entanglement spectrum arising from real-space cuts for fractional quantum Hall states. We provide a proof that the rank of the reduced density matrix is saturated for the Laughlin state even on finite sizes.

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Authors

  • Benoit Estienne

    • Princeton University

  • Andrei Bernevig

    • Princeton University

  • Raoul Santachiara

    • LPTMS Orsay