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Mean field loops versus quantum anti-crossing nets in trapped Bose-Einstein condensates |
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| Authors: | ZP Karkuszewski K Sacha A Smerzi |
| Institution: | (1) Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545 USA, US;(2) Instytut Fizyki, Uniwersytet Jagielloński, ulica Reymonta 4, 30-059 Kraków, Poland, PL |
| Abstract: | 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. Received 6 March 2002 / Received in final form 19 September 2002 Published online 15 November 2002 RID="a" ID="a"e-mail: smerzi@cnls.lanl.gov |
| Keywords: | PACS 03 75 Fi Phase coherent atomic ensembles quantum condensation phenomena – 05 30 Jp Boson systems – 32 80 Pj Optical cooling of atoms trapping |
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