Abstract
We consider the quantum dynamics of a neutral atom Bose-Einstein condensate in a double-well potential, including hard-sphere particle interactions. Our model system is a symmetric double-well single-particle potential V(r) with minima at r; and r2. We assume the potential is such that the two lowest states are closely spaced and well separated from higher levels of the potential. This permits a two-mode approximation to be used. We define the state u0(r) as the normalized groundstate mode of the local potential with energy E0, where is the parabolic approximation to the potential near each minimum, and we define the local mode solutions of the individual wells u1,2(r) = u0(r – r1,2).
© 1997 Optical Society of America
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