Entanglement from Charge Statistics: Exact Relations for Many-Body Systems

ORAL

Abstract

We present exact formulas for the entanglement and R\'{e}nyi entropies generated at a quantum point contact (QPC) in terms of the statistics of charge fluctuations, which we illustrate with examples from both equilibrium and non-equilibrium transport. The formulas are also applicable to groundstate entanglement in systems described by non-interacting fermions in any dimension, which in one dimension includes the critical spin-1/2 XX and Ising models where conformal field theory predictions for the entanglement and R\'{e}nyi entropies are reproduced from the full counting statistics. These results may play a crucial role in the experimental detection of many-body entanglement in mesoscopic structures and cold atoms in optical lattices.

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Authors

  • Francis Song

    • Yale University

  • Christian Flindt

    • Universite de Geneve

  • Stephan Rachel

    • Yale University
    • Yale University, Department of Physics, New Haven, CT 06520
    • Physics Department, Yale University

  • Israel Klich

    • University of Virginia

  • Karyn Le Hur

    • Yale University, Department of Physics, New Haven, CT 06520
    • Yale University
    • Physics Department, Yale University