Role of spatial inhomogeneity in dissociation of trapped molecular condensates

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.

Decoherence of Einstein–Podolsky–Rosen steering

“…The spin-mode entangled state given by Eq. (25) has been the subject of several experiments [43]. We first explain how one can signify the Schrodinger cat, using EPR steering.…”

Bogoliubov dynamics of condensate collisions using the positive-Prepresentation

“…The atoms forming the halo could be used for precision measurements [35], interferometry [2,[36][37][38][39], or tests of quantum mechanics [40]. Condensate collisions are also related to such phenomena as molecular dissociation [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56], atomic four-wave mixing [6,14,[57][58][59][60], superradiant scattering [61][62][63][64][65][66][67][68][69][70], atomic parametric down conversion [71][72][73][74][75][76][77], and impact of a BEC on a barrier [78][79][80]…”

Anisotropy ins-wave Bose-Einstein condensate collisions and its relationship to superradiance

“…Finally, in a broader context, one expects other situations that generate a scattered atom halo, such as molecular dissociation in a condensate [36,37,[42][43][44][45][46][47][48], atomic parametric down-conversion [4,[49][50][51][52][53], or the interaction of a condensate with barriers and obstacles [54][55][56][57][58], to also be susceptible to the same anisotropy-producing processes. …”