Quantum dynamics of bosons in a double-well potential: Josephson oscillations, self-trapping and ultralong tunneling times

Details Quantum dynamics of bosons in a double-well potential: Josephson oscillations, self-trapping and ultralong tunneling times Quantum dynamics of bosons in a double-well potential: Josephson oscillations, self-trapping and ultralong tunneling times

2006-08-28

arxiv.org/abs/quant-ph/0608222v1

Eur. Phys. J. D 44 3 (2007) 537-540

Physics

Quantum Physics

Scientific paper

10.1140/epjd/e2007-00224-4

The dynamics of the population imbalance of bosons in a double-well potential is investigated from the point of view of many-body quantum mechanics in the framework of the two-mode model. For small initial population imbalances, coherent superpositions of almost equally spaced energy eigenstates lead to Josephson oscillations. The suppression of tunneling at population imbalance beyond a critical value is related to a high concentration of initial state population in the region of the energy spectrum with quasi-degenerate doublets resulting in imbalance oscillations with a very small amplitude. For unaccessible long times, however, the system recovers the regime of Josephson oscillations.

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