Abstract

For a Bose condensate in a double-well potential, the condensate wavefunction is a superposition. Here we consider coupling two such Bose condensates, and suggest that the joint condensate wavefunction is in general a superposition of all products of the bases wavefunctions of the two condensates. The corresponding many-body state is a product of such superposed wavefunctions, with appropriate symmetrization. These states may be potentially useful for quantum computation. There may be robustness due to macroscopic occupation of a same single particle state. The nonlinearity due to particle-particle interaction may be utilized to realize nonlinear quantum computation, which was suggested to be capable of solving NP-complete problems.

© 2001 Optical Society of America