Role of spatial inhomogeneity in dissociation of trapped molecular condensates
arXiv:0905.0343 · doi:10.1103/PhysRevA.82.013641
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.
Final published version; 23 pages, 13 figures
References in corpus (25)
- A High Phase-Space-Density Gas of Polar Molecules
- Spatial quantum noise interferometry in expanding ultracold atom clouds
- Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
- Ultracold Molecules in the Ro-Vibrational Triplet Ground State
- Observation of atom pairs in spontaneous four wave mixing of two colliding Bose-Einstein Condensates
- Spontaneous Four-Wave Mixing of de Broglie Waves: Beyond Optics
- Dissociation of ultracold molecules with Feshbach resonances
- Formation of a molecular Bose-Einstein condensate and an entangled atomic gas by Feshbach resonance
- Detection of continuous variable entanglement without coherent local oscillators
- Spontaneous dissociation of long-range Feshbach molecules
- Atomic four-wave mixing via condensate collisions
- First-principles quantum simulations of dissociation of molecular condensates: Atom correlations in momentum space
- Atom-atom correlations in colliding Bose-Einstein condensates
- Bell test for the free motion of material particles
- Spatial pair correlations of atoms in molecular dissociation
- Metastable Feshbach Molecules in High Rotational States
- Dissociation of Feshbach Molecules into Different Partial Waves
- Confinement effects on the stimulated dissociation of molecular BECs
- Matter-wave squeezing and the generation of SU(1,1) and SU(2) coherent-states via Feshbach resonances
- Atom-atom correlations and relative number squeezing in dissociation of spatially inhomogeneous molecular condensates
- Directional spatial structure of dissociated elongated molecular condensates
- Dissociation dynamics of resonantly coupled bose-fermi mixtures in an optical lattice
- Classification of zero-energy resonances by dissociation of Feshbach molecules
- Pair correlated atoms with a twist
- Confinement controlled dissociation of a molecular Bose-Einstein condensate
Cited by in corpus (13)
- Einstein-Podolsky-Rosen entanglement and steering in two-well BEC ground states
- Decoherence of Einstein-Podolsky-Rosen steering
- Proposal for demonstrating the Hong-Ou-Mandel effect with matter waves
- Solving the quantum many-body problem via correlations measured with a momentum microscope
- Dynamical preparation of EPR entanglement in two-well Bose-Einstein condensates
- Bogoliubov dynamics of condensate collisions using the positive-P representation
- Squeezing in Bose-Einstein condensates with large numbers of atoms
- Tradeoffs for number-squeezing in collisions of Bose-Einstein condensates
- Quantum Zeno control of coherent dissociation
- Anisotropy in s-wave Bose-Einstein condensate collisions and its relationship to superradiance
- Matter waves in atomic-molecular condensates with Feshbach resonance management
- Management of solitons in medium with competing cubic and quadratic nonlinearities
- On the Dynamics of the Fermi-Bose Model