@article{44911158b9834182a79e764e723da78b,

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.",

year = "2013",

month = apr,

day = "2",

doi = "10.1063/1.4802029",

language = "English (US)",

volume = "54",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics Publising LLC",

number = "4",

}