Entanglement Negativity and Topological Degeneracy

ORAL

Abstract

We study the spatial distribution of entanglement in (2+1)d topological phases. Specifically, we use the coupled-wire construction to study the logarithmic negativity[1] for various spatial partitions of the ground state. We show how monogamy-type relations [2,3] for the logarithmic negativity can reveal the degeneracy of the ground state wave functions on a torus.

References:
[1] G. Vidal and R.F. Werner. A computable measure of entanglement. https://arxiv.org/pdf/quant- ph/0102117.pdf, Feburary 2001.
[2] Patrick Hayden, Richard Jozsa, Dénes Petz, and Andreas Winter. Structure of states which satisfy strong subadditivity of quantum entropy with equality. https://arxiv.org/pdf/quant- ph/0304007.pdf, August 2003
[3] Huan He and Guifre Vidal. Disentangleing theorem and monogamy for entanglement negativity.https://arxiv.org/pdf/1401.5843.pdf, January 2014.

*This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences under Award Number DE-SC0020007, and by the National Science Foundation under Grant No. DMR-1653535.

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Presenters

  • Pak Kau Lim

    • Department of Physics and Astronomy, University of California, Riverside

Authors

  • Pak Kau Lim

    • Department of Physics and Astronomy, University of California, Riverside

  • Hamed Asasi

    • Department of Physics and Astronomy, University of California, Riverside

  • Jeffrey C. Y. Teo

    • Univ of Virginia
    • Department of Physics, University of Virginia
    • Physics, University of Virginia

  • Michael Mulligan

    • Department of Physics and Astronomy, University of California, Riverside