Abstract

We show by using the mean-field approximation that the states of composite Fermi–Bose superfluids created in cold-atom traps via a Feshbach resonance at zero temperature are generalized SU ( 2 ) ⊗ SU ( 1 , 1 ) coherent states. In response to a sudden change of the interaction between fermionic atoms and bosonic molecules, a Cooper pair can exhibit collapse and revival quantum behaviors for an initial generalized coherent state of molecules, and Rabi oscillation for a vacuum molecular state. Occurrence of the collapse and revival phenomenon is thus the manifestation of the formation of the Bose–Einstein condensate.

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