论文标题
Floquet动力学的量子混乱措施
Quantum chaos measures for Floquet dynamics
论文作者
论文摘要
定期踢的浮子系统（例如踢旋翼）是混乱的范式和说明性的简单模型。对于不可综合的量子动力学，有几种诊断量度，即（或过渡到）混乱行为（包括Loschmidt Echo，自相关函数和OTOC）的存在。我们根据驱动量子系统的统一浮子操作员的特征系统来分析计算这些度量。我们使用这些表达式来确定圆环上量子踢转子的度量的时间变化，以及混乱的情况。对于踢旋翼的更简单的集成变体，我们还提供了其动力学的表示理论推导。
Periodically kicked Floquet systems such as the kicked rotor are a paradigmatic and illustrative simple model of chaos. For non-integrable quantum dynamics there are several diagnostic measures of the presence of (or the transition to) chaotic behaviour including the Loschmidt echo, autocorrelation function and OTOC. We analytically compute these measures in terms of the eigensystem of the unitary Floquet operator of driven quantum systems. We use these expressions to determine the time variation of the measures for the quantum kicked rotor on the torus, for the integrable as well as the chaotic case. For a simpler integrable variant of the kicked rotor, we also give a representation theoretic derivation of its dynamics.
