Entanglement Between Bose-Einstein Condensates

Abstract

For a Bose condensate in a double-well potential or with two Josephson-coupled internal states, the condensate wavefunction is a superposition. Here we consider coupling two such Bose condensates, and suggest the existence of a joint condensate wavefunction, which is in general a superposition of all products of the bases condensate 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 and stability due to macroscopic occupation of a same single particle state. The nonlinearity of the condensate wavefunction due to particle-particle interaction may be utilized to realize nonlinear quantum computation, which was suggested to be capable of solving NP-complete problems.

18 pages. Eq. (73) is changed

References in corpus (3)

• Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional
• Bose-Einstein condensation with magnetic dipole-dipole forces
• Excitation of a Dipole Topological Mode in a Strongly Coupled Two-Component Bose-Einstein Condensate

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• Nonlinear quantum gates for a Bose-Einstein condensate
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