Entanglement in bipartite pure states of an interacting boson gas obtained by local projective measurements

Francis N. C. Paraan, Javier Molina-Vilaplana, Vladimir E. Korepin, and Sougato Bose
Phys. Rev. A 84, 032330 – Published 20 September 2011; Erratum Phys. Rev. A 86, 049901 (2012)

Abstract

We quantify the extractable entanglement of excited states of a Lieb-Liniger gas that are obtained from coarse-grained measurements on the ground state in which the boson number in one of two complementary contiguous partitions of the gas is determined. Numerically exact results obtained from the coordinate Bethe ansatz show that the von Neumann entropy of the resulting bipartite pure state increases monotonically with the strength of repulsive interactions and saturates to the impenetrable-boson limiting value. We also present evidence indicating that the largest amount of entanglement can be extracted from the most probable projected state having half the number of bosons in a given partition. Our study points to a fundamental difference between the nature of the entanglement in free-bosonic and free-fermionic systems, with the entanglement in the former being zero after projection, while that in the latter (corresponding to the impenetrable-boson limit) being nonzero.

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  • Received 27 May 2011

DOI:https://doi.org/10.1103/PhysRevA.84.032330

©2011 American Physical Society

Erratum

Erratum: Entanglement in bipartite pure states of an interacting boson gas obtained by local projective measurements [Phys. Rev. A 84, 032330 (2011)]

Francis N. C. Paraan, Javier Molina-Vilaplana, Vladimir E. Korepin, and Sougato Bose
Phys. Rev. A 86, 049901 (2012)

Authors & Affiliations

Francis N. C. Paraan1,*, Javier Molina-Vilaplana2,†, Vladimir E. Korepin1,‡, and Sougato Bose3,§

  • 1C. N. Yang Institute for Theoretical Physics, State University of New York at Stony Brook, New York 11794-3840, USA
  • 2Department of Systems Engineering and Automation, Technical University of Cartagena, ES-30202 Cartagena, Spain
  • 3Department of Physics and Astronomy, University College London, London WC1E 6BT, UK

  • *fparaan@max2.physics.sunysb.edu
  • javi.molina@upct.es
  • korepin@max2.physics.sunysb.edu
  • §sougato@theory.phys.ucl.ac.uk

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Issue

Vol. 84, Iss. 3 — September 2011

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