论文标题
有效的哈密顿量几乎是驱动量子系统的
Effective Hamiltonians for almost-periodically driven quantum systems
论文作者
论文摘要
我们提出了一种有效的哈密顿理论,可用于一些准确驱动的量子系统,该系统不需要了解控制信号的傅立叶频率。它也可以用于某些混沌驱动的量子系统。它基于Koopman方法,该方法概括了与定期驱动的系统一起使用的Floquet方法。我们将准能态(有效哈密顿量的特征向量)作为量子系统的准循环状态的特性。
We present an effective Hamiltonian theory available for some quasi-periodically driven quantum systems which does not need the knowledge of the Fourier frequencies of the control signal. It could also be available for some chaotically driven quantum systems. It is based on the Koopman approach which generalizes the Floquet approach used with periodically driven systems. We show the properties of the quasi-energy states (eigenvectors of the effective Hamiltonian) as quasi-recurrent states of the quantum system.