Abstract
Adding a U(1) symmetry breaking term to Bogoliubov's truncated Hamiltonian HB for a weakly interacting coupled Bose system, by using the mean-field approximation rather than the c-number approximation, we find that, via a Feshbach resonance at zero temperature, the states of the coupled Bose system are generalized SU(1,1) ⊗ SU(1,1) coherent states. The Bose—Einstein condensation occurs in response to the spontaneous U(1) symmetry breaking.
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