Journal
PHYSICAL REVIEW A
Volume 79, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.79.055602
Keywords
boson systems; dissociation; fermion systems; radiation pressure; resonant states
Categories
Funding
- Academy of Finland [213362, 217041, 217043, 210953]
- RFBR [0901-00333]
- Academy of Finland (AKA) [217043, 217041, 217043, 217041] Funding Source: Academy of Finland (AKA)
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We consider dynamics of a slowly time-dependent Dicke model, which represents a many-body generalization of the Landau-Zener model. In particular, the model describes narrow Feshbach resonance passage in an ultracold gas of Fermi atoms. Adiabaticity is destroyed when a parameter crosses a critical value, even at very slow sweeping rates of a parameter. The dynamics crucially depends on direction of the sweep. We apply our recent analysis (A. P. Itin and P. Torma, e-print arXiv:0901.4778) to the inverse sweep through the resonance, corresponding (in a context of Feshbach resonance passage) to dissociation of molecules. On a level of the mean-field approximation, the dynamics is equivalent to a molecular condensate formation from Bose atoms within a two-mode model. Mapping the system to a Painleve equation allows us to calculate deviation from adiabaticity at very slow sweeps analytically.
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