Bipartite fluctuations and entanglement spectrum in quantum Hall states

ORAL

Abstract

We exploit a general relation between bipartite fluctuations of particle number or spin and the real space bipartite entanglement entropy and the entanglement R\'enyi entropies for free fermion systems [Phys. Rev. B \textbf{85}, 035409 (2012)]. We apply this method to derive the real space entanglement entropy and entanglement spectrum [Phys. Rev. Lett. \textbf{101}, 010504 (2008)] of integer quantum Hall systems and Chern insulators, focusing on continuum models, edge models at quantum point contacts and the role of sine-Gordon terms, and finite-sized lattice models. Numerical efforts will be addressed for fractional quantum Hall systems.

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Authors

  • Alexandru Petrescu

    • Yale University, New Haven, CT, USA and CPHT, Ecole Polytechnique, Palaiseau, France
    • Yale University and CPHT Ecole Polytechnique France

  • H. Francis Song

    • New York University

  • Stephan Rachel

    • Institute for Theoretical Physics, TU Dresden, 01062 Dresden, Germany

  • Zoran Ristivojevic

    • CPHT Ecole Polytechnique, France

  • Christian Flindt

    • University of Geneva, Department of Theoretical Physics

  • Nicolas Laflorencie

    • LPT Toulouse and CNRS, France

  • Israel Klich

    • University of Virginia, Charlottesville

  • Nicolas Regnault

    • Princeton University and LPA ENS Paris

  • Karyn Le Hur

    • CPHT Ecole Polytechnique and CNRS, France