Delicate and robust dynamical recurrences of matter waves in driven optical crystals
Delicate and robust dynamical recurrences of matter waves in driven optical crystals
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驱动光学晶体中物质波的微妙而稳健的动态重现
DOI：
10.1103/physreva.85.023634
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发表时间：
2011
影响因子：
2.9
通讯作者：
F. Saif
中科院分区：
文献类型：
--
作者：
M. Ayub;F. Saif
本文研究了光学晶体中玻色-爱因斯坦凝聚在外加驱动力作用下的动力学重现性。的冷凝物的复发行为分析作为时间的函数接近于发生在经典对应的非线性共振。我们的递归时间尺度的数学形式表示为微妙的递归，例如，当晶格受到弱扰动时发生，而鲁棒的递归，这可能会在足够强的外部驱动力下表现出来。该分析不仅适用于稀凝聚，也适用于强相互作用的均匀凝聚，外调制对凝聚密度分布没有明显影响。我们解释了参数依赖的动态递归时间，这可以很容易地实现在实验室实验。此外，我们发现得到的分析结果和数值计算之间的良好协议。
WestudydynamicalrecurrencesofaBose-Einsteincondensateinanopticalcrystalsubjecttoaperiodicexternal driving force. The recurrence behavior of the condensate is analyzed as a function of time close to nonlinear resonances occurring in the classical counterpart. Our mathematical formalism for the recurrence time scales is presented as delicate recurrences, which take place, for instance, when the lattice is perturbed weakly and robust recurrences, which may manifest themselves for a sufficiently strong external driving force. The analysis not only is valid for a dilute condensate, but also is applicable for the strongly interacting homogeneous condensate provided; the external modulation causes no significant change in the density profile of the condensate. We explain the parametric dependence of the dynamical recurrence times, which can easily be realized in laboratory experiments. In addition, we find good agreement between the obtained analytical results and the numerical calculations.