Logarithmic negativity in quantum Lifshitz theories

Juan Fernando Angel Ramelli, C. Berthiere, Valentina Giangreco Puletti, Larus Thorlacius

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1 Citation (Scopus)


We investigate quantum entanglement in a non-relativistic critical system by calculating the logarithmic negativity of a class of mixed states in the quantum Lifshitz model in one and two spatial dimensions. In 1+1 dimensions we employ a correlator approach to obtain analytic results for both open and periodic biharmonic chains. In 2+1 dimensions we use a replica method and consider spherical and toroidal spatial manifolds. In all cases, the universal finite part of the logarithmic negativity vanishes for mixed states defined on two disjoint components. For mixed states defined on adjacent components, we find a non-trivial logarithmic negativity reminiscent of two-dimensional conformal field theories. As a byproduct of our calculations, we obtain exact results for the odd entanglement entropy in 2+1 dimensions.
Original languageEnglish
Number of pages11
JournalJournal of High Energy Physics
Issue number9
Publication statusPublished - Sept 2020

Other keywords

  • Nuclear and High Energy Physics
  • Field Theories in Higher Dimensions
  • Field Theories in Lower Dimensions
  • Conformal Field Theory
  • Sviðsfræði
  • Atómfræði


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