arXiv · 2406.18769
Subharmonic oscillations in the Floquet circuit with the frequency-synthesis dimension
Abstract
The period-doubling oscillation emerges with the coexistence between zero and {\pi} modes in Floquet topological insulator. Here, utilized the flexibility of the circuit, we construct the Floquet circuit with frequency-synthetic dimension and find the topological-protected deeply-subharmonic oscillations with the period extensively exceeding the doubling-driven period. In the construction framework, the periodically-driven mechanism is attained by implementing the circuit-oscillator hierarchy with the stepping-variation resonances in frequency domain. The zero and {\pi} modes that arise at the Floquet band in the circuit indicate the anomalous boundary-bulk correspondence. The coexistence of zero and {\pi} modes, results in a subharmonic oscillation with the extremely-low frequency on the edge of the Floquet circuit. Furthermore, we explore the Floquet band with the enhanced periodically-driven strength tailored by the component flexibility of the circuit. Our method provides a flexible scheme to study Floquet topological phases, and open a new path for realizing the deeply subwavelength system.
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Bo Lv, Shiyun Xia, Ye Tian, Ting Liu, Hongyang Mu, Zhichao Shen, Sijie Wang, Zheng Zhu, Huibin Tao, Fanyi Meng, Jinhui Shi. 2024-06-26. Subharmonic oscillations in the Floquet circuit with the frequency-synthesis dimension. https://arxiv.org/abs/2406.18769
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