We investigate theoretically the generation of microscopic atomic NOON states, corresponding to the coherent $|N,0\rangle +|0,N\rangle$ superposition with $N\sim 5$ particles, via collective tunneling of interacting ultracold bosonic atoms within a symmetric double-well potential in the self-trapping regime. We show that a periodic driving of the double well with suitably tuned amplitude and frequency parameters allows one to substantially boost this tunneling process without altering its collective character. The timescale to generate the NOON superposition, which corresponds to half the tunneling time and would be prohibitively large in the undriven double well for the atomic populations considered, can thereby be drastically reduced, which renders the realization of NOON states through this protocol experimentally feasible. Resonance- and chaos-assisted tunneling are identified as key mechanisms in this context. A quantitative semiclassical evaluation of their impact on the collective tunneling process allows one to determine the optimal choice for the driving parameters in order to generate those NOON states as fast as possible.

中文翻译：

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通过共振和混沌辅助隧穿，具有超冷硼原子的正态

我们从理论上研究微观原子NOON状态的产生，对应于相干 $|ñ，0〉+|0，ñ〉$ 与...叠加 $ñ〜5$在自陷机制中，通过在对称双阱势能内相互作用的超冷硼原子的集体隧穿形成粒子。我们表明，对具有适当调整的振幅和频率参数的双井进行定期驱动，可以在不改变其总体特征的情况下，大大增强这种隧穿过程。从而可以大大减少生成NOON叠加的时间尺度，该时间尺度对应于隧穿时间的一半，并且在非驱动双阱中对于所考虑的原子种群而言将是非常大的，从而使通过该协议实现NOON状态在实验上可行。在这种情况下，共振和混沌辅助隧道被确定为关键机制。