PT对称驱动诱导的定向动量流
Directed momentum current induced by the PT-symmetric driving
摘要：
研究了具有$\mathcal{PT}$对称导势的量子被踢转子模型中的有向动量流。在量子非共振情况下，当反冲势的虚部强度超过$\mathcal{PT}$阈值时，准能值变得复杂，说明出现了自发的$\mathcal{PT}$对称性破缺.在相变点附近，动量流随时间呈阶梯状增长。动量流的每个平台对应于Floquet算子的某些本征态的平均动量，其准能量的虚部非常大。在相变点以上，动量电流随时间线性增加。有趣的是，其加速度与蹬力呈“量化”增量。我们提出了一个改进的经典加速模型的踢转子模型来解释这样一个有趣的现象。我们的理论预测与数值结果吻合得很好。
英文摘要：
We investigate the directed momentum current in the quantum kicked rotor model with $\mathcal{PT}$ symmetric deriving potential. For the quantum non-resonance case, the values of quasi-energy become to be complex when the strength of imaginary part of the kicking potential exceeds \textbf{a} threshold value, which demonstrates the appearance of the spontaneous $\mathcal{PT}$ symmetry breaking. In the vicinity of the phase-transition point, the momentum current exhibits a staircase growth with time. Each platform of the momentum current corresponds to the mean momentum of some eigenstates of the Floquet operator whose imaginary parts of the quasi-energy are significantly large. Above the phase-transition point, the momentum current increases linearly with time. Interestingly, its acceleration rate exhibits a kind of "quantized" increment with the kicking strength. We propose a modified classical acceleration mode of the kicked rotor model to explain such an intriguing phenomenon. Our theoretical prediction is in good agreement with numerical results.
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