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Logarithmic negativity in the integer quantum Hall effect at finite temperature

ORAL

Abstract

We study the entanglement structure of integer quantum Hall states at finite temperature obtained by numerically computing the logarithmic negativity (LN). The LN is well suited to measure the entanglement content of mixed states. We work with various subregions including ones with corners, in order to study the geometric contribution of the LN. We compare results at different fillings, draw connections to finite temperature charge fluctuations, and discuss the relevant physics in the different temperature regimes. In particular, a rapid drop of the LN is observed with increasing temperature. This complements the zero-temperature results presented in the talk by Chia-Chuan Liu et al.

Presenters

  • Juliette Geoffrion

    Universite de Montreal

Authors

  • Juliette Geoffrion

    Universite de Montreal

  • Chia-Chuan Liu

    Universite de Montreal, University of Montreal

  • William Witczak-Krempa

    Universite de Montreal