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Paper   IPM / Physic / 14737
School of Physics
  Title:   Entanglement in Lifshitz-type Quantum Field Theories
1.  M. Reza. Mohammadi Mozaffar
2.  Ali . Mollabashi
  Status:   Published
  Journal: JHEP
  Vol.:  1707
  Year:  2017
  Pages:   120
  Supported by:  IPM
We study different aspects of quantum entanglement and its measures,including entanglement entropy and mutual information in the vacuum state of a certain Lifshitz free scalar theory?We present simple intuitive arguments based on the non-locality of this theory, supported by strong numerical evidences in (1+1) and 2+1)-dimensions, that the scaling of entanglement in such theories depends on the value of the dynamical exponent as a characteristic parameter of the theory. The scaling is such that in the Lorentzian limit it gives an area law and in the large dynamical exponent limit it tends to a volume law. We also study some aspects of entanglement depending on the shape of the entangling region in (2+1)-dimensions including corner contributions. We show that corner contributions are no more additive due to non-locality of Lifshitz theories. We also comment on possible holographic duals of such theories based on the sign of tripartite information.

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