We consider a driven, non-Hermitian generalization of the Aubry-Andre-Harper model. We show that the introduction of periodic driving allows us to obtain fully real quasienergy spectra in configurations where the corresponding static system has complex energy eigenvalues for any non-Hermitian degree. We illustrate how generalized parity-time ($\mathcal{PT}$) symmetry can be applied within the Floquet formalism and show that our model's fully real quasienergy spectrum corresponds to an unbroken symmetry. This model exhibits a Floquet topological phase, few examples of have been found in non-Hermitian potentials.

中文翻译：

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广义PT对称格中的浮球拓扑相

我们考虑了Aubry-Andre-Harper模型的非Hermitian推广。我们表明，周期性驱动的引入使我们能够在配置中获得完全真实的拟能谱，其中相应的静态系统对于任何非Hermitian度都具有复杂的能量本征值。我们说明了广义奇偶时间（$\mathcal{PT}$）对称性可以在Floquet形式主义中应用，并表明我们模型的完全真实拟能谱对应于不间断的对称性。该模型表现出Floquet拓扑状态，在非Hermitian势中发现了几个例子。