An area law for the bipartite entanglement of disordered oscillator systems

Bruno Nachtergaele; Robert Sims; Günter Stolz

doi:10.1063/1.4802029

An area law for the bipartite entanglement of disordered oscillator systems

Bruno Nachtergaele
, Robert Sims
, Günter Stolz

Mathematics

Research output: Contribution to journal › Article › peer-review

17 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 language	English (US)
Article number	042110
Journal	Journal of Mathematical Physics
Volume	54
Issue number	4
DOIs	https://doi.org/10.1063/1.4802029
State	Published - Apr 2 2013

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.4802029

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title = "An area law for the bipartite entanglement of disordered oscillator systems",

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.",

author = "Bruno Nachtergaele and Robert Sims and G{\"u}nter Stolz",

note = "Funding Information: This collaboration was made possible by a Summer 2012 Research in Teams project at the Erwin Schr{\"o}dinger International Institute for Mathematical Physics, University of Vienna, support from which we gratefully acknowledge. B.N. was supported in part by NSF Grant No. DMS-1009502. R.S. was supported in part by NSF Grant Nos. DMS-0757424 and DMS-1101345. G.S. was supported in part by NSF Grant No. DMS-1069320.",

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T1 - An area law for the bipartite entanglement of disordered oscillator systems

AU - Nachtergaele, Bruno

AU - Sims, Robert

AU - Stolz, Günter

N1 - Funding Information: This collaboration was made possible by a Summer 2012 Research in Teams project at the Erwin Schrödinger International Institute for Mathematical Physics, University of Vienna, support from which we gratefully acknowledge. B.N. was supported in part by NSF Grant No. DMS-1009502. R.S. was supported in part by NSF Grant Nos. DMS-0757424 and DMS-1101345. G.S. was supported in part by NSF Grant No. DMS-1069320.

PY - 2013/4/2

Y1 - 2013/4/2

N2 - 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.

AB - 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.

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DO - 10.1063/1.4802029

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VL - 54

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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ER -

An area law for the bipartite entanglement of disordered oscillator systems

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