Entanglement of a class of non-Gaussian states in disordered harmonic oscillator systems

Houssam Abdul-Rahman

Research output: Contribution to journalArticle

Abstract

For disordered harmonic oscillator systems over the d-dimensional lattice, we consider the problem of finding the bipartite entanglement of the uniform ensemble of the energy eigenstates associated with a particular number of modes. Such an ensemble defines a class of mixed, non-Gaussian entangled states that are labeled, by the energy of the system, in an increasing order. We develop a novel approach to find the exact logarithmic negativity of this class of states. We also prove entanglement bounds and demonstrate that the low energy states follow an area law.

Original languageEnglish (US)
Article number031904
JournalJournal of Mathematical Physics
Volume59
Issue number3
DOIs
StatePublished - Mar 1 2018

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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