Nonlinear resonant tunneling of Bose-Einstein condensates in tilted optical lattices
arXiv:1005.3541 · doi:10.1103/PhysRevA.82.063601
Abstract
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.
Revised and enlarged version, including 1 additional figure
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- Calculating resonance positions and widths using the Siegert approximation method
- Interaction-induced decoherence in non-Hermitian quantum walks of ultracold Bosons
- Exact numerical methods for a many-body Wannier Stark system
- Asymmetric many-body loss in a bosonic double well