Role of spatial inhomogeneity in dissociation of trapped molecular condensates

Magnus Ögren and K. V. Kheruntsyan
Phys. Rev. A 82, 013641 – Published 28 July 2010

Abstract

We theoretically analyze dissociation of a harmonically trapped Bose-Einstein condensate of molecular dimers and examine how the spatial inhomogeneity of the molecular condensate affects the conversion dynamics and the atom-atom pair correlations in the short-time limit. Both fermionic and bosonic statistics of the constituent atoms are considered. Using the undepleted molecular-field approximation, we obtain explicit analytic results for the asymptotic behavior of the second-order correlation functions and for the relative number squeezing between the dissociated atoms in one, two, and three spatial dimensions. Comparison with the numerical results shows that the analytic approach employed here captures the main underlying physics and provides useful insights into the dynamics of dissociation for conversion efficiencies up to 10%. The results show explicitly how the strength of atom-atom correlations and relative number squeezing degrade with the reduction of the size of the molecular condensate.

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  • Received 4 May 2009

DOI:https://doi.org/10.1103/PhysRevA.82.013641

©2010 American Physical Society

Authors & Affiliations

Magnus Ögren and K. V. Kheruntsyan

  • ARC Centre of Excellence for Quantum-Atom Optics, School of Mathematics and Physics, University of Queensland, Brisbane, Queensland 4072, Australia

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Issue

Vol. 82, Iss. 1 — July 2010

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