An area law for the bipartite entanglement of disordered oscillator systems

Bruno Nachtergaele, Robert Sims, Günter Stolz

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

We prove an upper bound proportional to the surface area for the bipartite entanglement of the ground state and thermal states of harmonic oscillator systems with disorder, as measured by the logarithmic negativity. Our assumptions are satisfied for some standard models that are almost surely gapless in the thermodynamic limit.

Original languageEnglish (US)
Article number042110
JournalJournal of Mathematical Physics
Volume54
Issue number4
DOIs
StatePublished - Apr 2 2013

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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