Quantum many-body tunneling of attractive Bose-Einstein condensate through double asymmetric barrier

Details Quantum many-body tunneling of attractive Bose-Einstein condensate through double asymmetric barrier Quantum many-body tunneling of attractive Bose-Einstein condensate through double asymmetric barrier

2012-02-23

arxiv.org/abs/1202.5143v1

Physics

Condensed Matter

Quantum Gases

12 pages, 9 figures

Scientific paper

We study the stability of attractive atomic Bose-Einstein condensate in the anharmonic trap using a correlated many-body method. The anharmonic parameter ($\lambda$) is slowly tuned from harmonic to weak and then to strong anharmonicity. For each choice of $\lambda$ the many-body equation is solved adiabatically. The use of the van der Waals interaction gives realistic picture which substantially differs from the mean-field results. For weak anharmonicity, we observe that the attractive condensate gains stability with larger number of bosons compared to that in the pure harmonic trap. The transition from resonances to bound states with weak anharmonicity also differs significantly from the earlier study of Moiseyev {\it et.al.}[J. Phys. B: At. Mol. Opt. Phys. {\bf{37}}, L193 (2004)]. We also study the tunneling of the metastable condensate very close to the critical number $N_{cr}$ of collapse. For intermediate anharmonicity, we observe dual tunneling through the two adjacent barriers. We also calculate the critical value of $\lambda$ where the left-sided transmission coefficient $T_{left}$ and the right-sided transmission coefficient $T_{right}$ become equal. This is very special feature which has not been observed in earlier calculation. For strong anharmonicity we see sharp decrease in the stability of the condensate. We observe two separate branches in the stability diagram where we plot $N_{cr}$ with tuned $\lambda$.

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