Mean field loops versus quantum anti-crossing nets in trapped Bose-Einstein condensates

Details Mean field loops versus quantum anti-crossing nets in trapped Bose-Einstein condensates Mean field loops versus quantum anti-crossing nets in trapped Bose-Einstein condensates

2001-08-31

arxiv.org/abs/quant-ph/0108144v2

Eur. Phys. J. D 21, 251 (2002).

Physics

Quantum Physics

4 pages, 6 figures, version accepted for publication in European Physical Journal D

Scientific paper

10.1140/epjd/e2002-00229-5

We study a Bose-Einstein condensate trapped in an asymmetric double well potential. Solutions of the time-independent Gross-Pitaevskii equation reveal intrinsic loops in the energy (or chemical potential) level behavior when the shape of the potential is varied. We investigate the corresponding behavior of the quantum (many-body) energy levels. Applying the two-mode approximation to the bosonic field operators, we show that the quantum energy levels create an anti-crossing net inside the region bounded by the loop of the mean field solution.

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