Macroscopic Quantum Self-Trapping in Dynamical Tunnelling

Details Macroscopic Quantum Self-Trapping in Dynamical Tunnelling Macroscopic Quantum Self-Trapping in Dynamical Tunnelling

2011-12-09

arxiv.org/abs/1112.2086v1

Physics

Quantum Physics

5 pages, 3 figures

Scientific paper

It is well-known that increasing the nonlinearity due to repulsive atomic interactions in a double- well Bose-Einstein condensate suppresses quantum tunnelling between the two sites. Here we find analogous behaviour in the dynamical tunnelling of a Bose-Einstein condensate between period-one resonances in a single driven potential well. For small nonlinearities we find unhindered tunnelling between the resonances, but with an increasing period as compared to the non-interacting system. For nonlinearities above a critical value we generally observe that the tunnelling shuts down. How- ever, for certain regimes of modulation parameters we find that dynamical tunnelling re-emerges for large enough nonlinearities, an effect not present in spatial double-well tunnelling. We develop a two-mode model in good agreement with full numerical simulations over a wide range of parameters, which allows the suppression of tunnelling to be attributed to macroscopic quantum self-trapping.

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