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arXiv 1005.3541cond-mat.quant-gasquant-ph
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倾斜光晶格中玻色-爱因斯坦凝聚体的非线性共振隧穿

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

K. Rapedius, C. Elsen, D. Witthaut, S. Wimberger, H. J. Korsch

摘要:

在平均场近似下研究了倾斜光晶格中玻色-爱因斯坦凝聚体的隧穿衰变。我们介绍了一种新的方法来计算也激发共振本征态的Gross-Pitaevskii方程,基于网格松弛程序与复杂的吸收势。该算法在广泛的参数范围内有效地工作,其中已建立的方法失败。它使我们能够详细研究共振隧穿机制中的非线性效应,其中通过共振耦合到激发的不稳定状态来增强衰减速率。

英文摘要:

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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