Number statistics of molecules formed from ultra-cold atoms
arXiv:cond-mat/0410349 · doi:10.1103/PhysRevLett.94.093001
Abstract
We calculate the number statistics of a single-mode molecular field excited by photoassociation or via a Feshbach resonance from an atomic Bose-Einstein condensate (BEC), a normal atomic Fermi gas and a Fermi system with pair correlations (BCS state). We find that the molecule formation from a BEC is a collective process that leads for short times to a coherent molecular state in the quantum optical sense. Atoms in a normal Fermi gas, on the other hand, are converted into molecules independently of each other and result for short times in a molecular state analogous to that of a classical chaotic light source. The BCS situation is intermediate between the two and goes from producing an incoherent to a coherent molecular field with increasing gap parameter.
arXiv comment5 pages, 4 figures
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Cited by in corpus (12)
- Quantum atom optics with fermions from molecular dissociation
- Density correlations in ultracold atomic Fermi gases
- Quantum Dynamics and Statistics Properties of Atom-Molecule Bose-Einstein Condensate
- Matter-wave squeezing and the generation of SU(1,1) and SU(2) coherent-states via Feshbach resonances
- Full counting statistics of heteronuclear molecules from Feshbach-assisted photo association
- Fluctuations in the formation time of ultracold dimers from fermionic atoms
- Quantum statistics of the collective excitations of an atomic ensemble inside a cavity
- Dissociation dynamics of resonantly coupled bose-fermi mixtures in an optical lattice
- Density correlations in ultracold Fermi systems within the exact Richardson solution
- Interaction-induced instability and chaos in the photoassociative stimulated Raman adiabatic passage from atomic to molecular Bose-Einstein condensates
- Molecule formation as a diagnostic tool for second order correlations of ultra-cold gases
- Slow-light probe of Fermi pairing through an atom-molecule dark state