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

Alonso Botero and Benni Reznik
Phys. Rev. A 70, 052329 – Published 30 November 2004

Abstract

We study the structure of vacuum entanglement for two complimentary segments of a linear harmonic chain, applying the modewise decomposition of entangled Gaussian states discussed by Boteno and Reznik [Phys. Rev. A 67, 052311 (2003)]. 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 rederive 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.

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  • Received 7 April 2004

DOI:https://doi.org/10.1103/PhysRevA.70.052329

©2004 American Physical Society

Authors & Affiliations

Alonso Botero*

  • Departmento de Física, Universidad de Los Andes, Apartado Aéreo 4976, Bogotá, Colombia

Benni Reznik

  • Department of Physics and Astronomy, Beverly and Raymond Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel Aviv 69978, Israel

  • *Electronic address: abotero@uniandes.edu.co
  • Electronic address: reznik@post.tau.ac.il

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Issue

Vol. 70, Iss. 5 — November 2004

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