被踢的Bose-Hubbard系统和被踢的陀螺--隧穿的破坏和激发
Kicked Bose-Hubbard systems and kicked tops -- destruction and stimulation of tunneling
摘要：
在双模近似下，双势阱中的玻色-爱因斯坦凝聚体（BEC）可以用多粒子玻色-哈伯德型哈密顿量来描述。我们关注的是这样一种BEC，它的原子间相互作用强度被周期性的$δ$ -kicks调制，这代表了一个踢顶的实现。在（经典）平均场近似下，它提供了一个丰富的混合相空间动力学与规则和混沌区域。通过增加踢强度的分叉导致的外观自陷状态本地化的规则岛屿。这种自陷也被发现的多粒子系统，但在一般抑制相干多粒子隧穿振荡。隧穿时间可以从相应的Floquet态的准能量分裂计算。通过改变反冲强度，这些准能级经历避免的甚至实际的交叉。因此，对于这种多粒子系统，可以观察到隧穿的激发或完全破坏。
英文摘要：
In a two-mode approximation, Bose-Einstein condensates (BEC) in a double-well potential can be described by a many particle Hamiltonian of Bose-Hubbard type. We focus on such a BEC whose interatomic interaction strength is modulated periodically by $δ$-kicks which represents a realization of a kicked top. In the (classical) mean-field approximation it provides a rich mixed phase space dynamics with regular and chaotic regions. By increasing the kick-strength a bifurcation leads to the appearance of self-trapping states localized on regular islands. This self-trapping is also found for the many particle system, however in general suppressed by coherent many particle tunneling oscillations. The tunneling time can be calculated from the quasi-energy splitting of the corresponding Floquet states. By varying the kick-strength these quasi-energy levels undergo both avoided and even actual crossings. Therefore stimulation or complete destruction of tunneling can be observed for this many particle system.
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