Detecting topological phase transitions in a double kicked quantum rotor

We present a concrete theoretical proposal for detecting topological phase transitions in double kicked atom-optics kicked rotors with internal spin-1/2 degree of freedom. The implementation utilizes a kicked Bose-Einstein condensate evolving in one-dimensional momentum space. To reduce influence of atom loss and phase decoherence we aim to keep experimental durations short while maintaining a resonant experimental protocol. Experimental limitations induced by phase noise, quasimomentum distributions, symmetries, and the AC-Stark shift are considered. Our results thus suggest a feasible and optimized procedure for observing topological phase transitions in quantum kicked rotors.

我们提出了一个具体的理论方案，用于检测具有内部自旋 - 1/2自由度的双踢原子 - 光学受激转子中的拓扑相变。该方案利用在一维动量空间中演化的受激玻色 - 爱因斯坦凝聚体来实现。为了减少原子损失和相位退相干的影响，我们的目标是在保持共振实验方案的同时缩短实验持续时间。我们考虑了由相位噪声、准动量分布、对称性和交流斯塔克位移引起的实验限制。因此，我们的结果为观察量子受激转子中的拓扑相变提出了一个可行且优化的方法。