R\'{e}nyi Entanglement Entropies and the Entanglement Spectrum

ORAL

Abstract

We describe a simple method for computing the full entanglement spectrum of any finite density matrix from the R\'{e}nyi entropies of integer order. This has important implications for non-interacting fermionic systems where the R\'{e}nyi entropies are directly related to the cumulants of charge number fluctuations, and for quantum Monte Carlo simulations where it is now becoming possible to compute the R\'{e}nyi entropies but not the von Neumann entropy or the full entanglement spectrum.

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Authors

  • Francis Song

    Yale University

  • Stephan Rachel

    Yale University, Department of Physics, Yale University, New Haven, CT 06520, USA, Department of Physics, Yale University, 217 Prospect Street, New Haven, CT 06520, USA

  • Karyn Le Hur

    Yale University, Ecole Polytechnique, Yale University, 1 Center for Theoretical Physics, Ecole Polytechnique, 91128 Palaiseau Cedex, France, 2 Yale University, Yale University Physics Department, New Haven, CT, 06520 USA and Center for Theoretical Physics (CPHT), Ecole Polytechnique, Palaiseau 91128, France