Spatial structures and localization of vacuum entanglement in the linear harmonic chain

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dc.creatorBotero, Alonso
dc.creatorReznik, Benni
dc.date2004-03-31
dc.date2004-04-07
dc.date.accessioned2026-07-07T06:09:27Z
dc.date.available2026-07-07T06:09:27Z
dc.descriptionWe study the structure of vacuum entanglement for two complimentary segments of a linear harmonic chain, applying the modewise decomposition of entangled gaussian states discussed in \cite {modewise}. We find that the resulting entangled mode shape hierarchy shows a distinctive layered structure with well defined relations between the depth of the modes, their characteristic wavelength, and their entanglement contribution. We re-derive in the strong coupling (diverging correlation length) regime, the logarithmic dependence of entanglement on the segment size predicted by conformal field theory for the boson universality class, and discuss its relation with the mode structure. We conjecture that the persistence of vacuum entanglement between arbitrarily separated finite size regions is connected with the localization of the highest frequency innermost modes.
dc.description23 pages, 19 figures, RevTex4. High resolution figures available upon request. New References added
dc.identifierhttps://arxiv.org/abs/quant-ph/0403233
dc.identifierhttp://arxiv.org/abs/quant-ph/0403233
dc.identifierPhys. Rev. A 70, 052329 (2004)
dc.identifierdoi:10.1103/PhysRevA.70.052329
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91966
dc.subjectQuantum Physics
dc.titleSpatial structures and localization of vacuum entanglement in the linear harmonic chain
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