Spreading of entanglement and steering along small Bose-Hubbard chains

M. K. Olsen
Phys. Rev. A 92, 033627 – Published 28 September 2015

Abstract

We investigate how entanglement spreads along small Bose-Hubbard chains, with only the first well initially occupied by a mesoscopic number of atoms, as the number of sites increases. For two- and three-well chains in the noninteracting case, we are able to obtain analytical solutions and show that the presence of entanglement depends on having a sub-Poissonian state of the atoms in the first well. In these cases, the correlations we calculate are completely periodic. Restoring the collisional interactions or moving to a four-well chain necessitates a numerical treatment, for which we use the fully quantum positive-P representation. We examine two different correlations and find that adding collisional interactions destroys the periodicity of the correlations and causes them to degrade with time. This happens well before there is a noticeable effect on the periodicity of the solutions for the number of atoms in each well.

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  • Received 30 July 2015

DOI:https://doi.org/10.1103/PhysRevA.92.033627

©2015 American Physical Society

Authors & Affiliations

M. K. Olsen

  • School of Mathematics and Physics, University of Queensland, Brisbane, QLD 4072, Australia

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Issue

Vol. 92, Iss. 3 — September 2015

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