Abstract We applied an optimal control algorithm to an ultra-cold atomic system for constructing an atomic Sagnac interferometer in a ring trap. We constructed a ring potential on an atom chip by using an RF-dressed potential. A field gradient along the radial direction in a ring trap known as the dimple-ring trap is generated by using an additional RF field. The position of the dimple is moved by changing the phase of the RF field [1]. For Sagnac interferometers, we suggest transferring Bose–Einstein condensates to a dimple-ring trap and shaking the dimple potential to excite atoms to the vibrational-excited state of the dimple-ring potential. The optimal control theory is used to find a way to shake the dimple-ring trap for an excitation. After excitation, atoms are released from the dimple-ring trap to a ring trap by adiabatically turning off the additional RF field, and this constructs a Sagnac interferometer when opposite momentum components are overlapped. We also describe the simulation to construct the interferometer.

中文翻译：

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环电位激发态膨胀的最优控制

摘要 我们将最优控制算法应用于超冷原子系统，以构建环形阱中的原子萨格纳克干涉仪。我们通过使用射频修饰电位在原子芯片上构建了一个环电位。环形陷阱中沿径向的场梯度被称为凹坑环陷阱，是通过使用额外的射频场产生的。通过改变射频场的相位来移动凹坑的位置 [1]。对于 Sagnac 干涉仪，我们建议将 Bose-Einstein 凝聚物转移到凹坑环陷阱并摇动凹坑电位以将原子激发到凹坑环电位的振动激发状态。最优控制理论用于找到一种方法来振动凹坑环陷阱以获得激励。激发后，通过绝热关闭额外的射频场，原子从凹坑环陷阱释放到环陷阱，当相反的动量分量重叠时，这构成了萨格纳克干涉仪。我们还描述了构建干涉仪的模拟。