Entanglement entropy and negative energy in two dimensions

Eugenio Bianchi, Matteo Smerlak

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

It is well known that quantum effects can produce negative energy densities, though for limited times. Here we show in the context of two-dimensional conformal field theory that such negative energy densities are present in any nontrivial conformal vacuum and can be interpreted in terms of the entanglement structure of such states. We derive an exact identity relating the outgoing energy flux and the entanglement entropy in the in-vacuum. When applied to two-dimensional models of black hole evaporation, this identity implies that unitarity is incompatible with monotonic mass loss.

Original languageEnglish (US)
Article number041904
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume90
Issue number4
DOIs
StatePublished - Aug 27 2014

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flux density
entropy
vacuum
two dimensional models
evaporation
energy

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

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Entanglement entropy and negative energy in two dimensions. / Bianchi, Eugenio; Smerlak, Matteo.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 90, No. 4, 041904, 27.08.2014.

Research output: Contribution to journalArticle

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