Subharmonic oscillations in the Floquet circuit with the frequency-synthesis dimension

Kavli Affiliate: Zheng Zhu

| First 5 Authors: Bo Lv, Shiyun Xia, Ye Tian, Ting Liu, Hongyang Mu

| Summary:

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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