Photoassociation and optical Feshbach resonances in an atomic Bose-Einstein condensate: Treatment of correlation effects

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Pascal Naidon and Françoise Masnou-Seeuws
Laboratoire Aimé Cotton, CNRS, Bâtiment 505 Campus d'Orsay, 91405 Orsay Cedex, France

Received 17 October 2005; revised 31 January 2006; published 18 April 2006

Inthis paper we formulate the time-dependent many-body theory of photoassociationin an atomic Bose-Einstein condensate with realistic interatomic interactions, usingand comparing two approximations: the first-order cumulant approximation [Phys. Rev.A 65, 033601 (2002)], and the reduced pair wave approximation[Phys. Rev. A 68, 033612 (2003)]. The two approximations differonly by the way a pair of condensate atoms isinfluenced by the mean field at short interatomic separations. Inboth cases we identify two different regimes of photoassociation: theadiabatic regime and the coherent regime. The threshold for theso-called "rogue dissociation" [Phys. Rev. Lett. 88, 090403 (2002)] (wherethe Gross-Pitaevski model breaks down) is found to be differentin each regime, shedding new light on the experiment ofMcKenzie et al. [Phys. Rev. Lett. 88, 120403 (2002)]. Comparing numericalsolutions for the two approximations with the Gross-Pitaevski predictions, wefind two different effects: reduction of the photoassociation rate atshort times, and creation of correlated pairs of atoms whenthe laser intensity is switched on rapidly. We also observeeffects on the symmetry of the photoassociation line shapes, givingthe possibility to experimentally distinguish between the two approximations.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.73.043611
DOI:	10.1103/PhysRevA.73.043611
PACS:	03.75.Nt; 03.75.Kk; 34.50.-s 03.75.Nt Other Bose-Einstein condensation phenomena 03.75.Kk Dynamic properties of Bose-Einstein condensates; collective and hydrodynamic excitations, superfluid flow 34.50.-s Scattering of atoms and molecules YEAR: 2006
KEYWORDS:	Bose-Einstein condensation, resonant states, photochemistry, association, reaction rate constants, reaction kinetics theory, potential energy functions

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