Nonlinear resonant tunneling of Bose-Einstein condensates in tilted optical lattices

Details Nonlinear resonant tunneling of Bose-Einstein condensates in tilted optical lattices Nonlinear resonant tunneling of Bose-Einstein condensates in tilted optical lattices

2010-05-19

arxiv.org/abs/1005.3541v2

Phys. Rev. A 82, 063601 (2010)

Physics

Condensed Matter

Quantum Gases

Revised and enlarged version, including 1 additional figure

Scientific paper

10.1103/PhysRevA.82.063601

We study the tunneling decay of a Bose-Einstein condensate out of tilted optical lattices within the mean-field approximation. We introduce a novel method to calculate also excited resonance eigenstates of the Gross-Pitaevskii equation, based on a grid relaxation procedure with complex absorbing potentials. This algorithm works efficiently in a wide range of parameters where established methods fail. It allows us to study the effects of the nonlinearity in detail in the regime of resonant tunneling, where the decay rate is enhanced by resonant coupling to excited unstable states.

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