Coherent acoustic frequency comb via floquet engineering of optical tweezer phonon lasers

Floquet engineering, featuring time-periodic control of various systems, has enabled observations of many exotic phenomena such as time crystals, breaking of reciprocity symmetry, and exceptional topology. Theoretically, a periodic drive can make the system inherit the time period and generate new harmonics or distort the band structure at the fundamental frequency. Here, by combining such a technique with levitated optomechanics, we present the first example of a coherent acoustic frequency comb with microsphere phonon lasers. This work shows that our technique offers the capability of flexibly controlling both the teeth number and the teeth spacing of the resulting coherent acoustic frequency comb. Particularly, we confirm that all Floquet-driven comb teeth can reach the truly coherent regime, i.e., satisfying all the characteristic features of phonon lasers. Our work provides a platform to drive the nonlinear phonon laser to a coherent acoustic frequency comb with truly coherent comb..., , # Coherent acoustic frequency comb via floquet engineering of optical tweezer phonon lasers

Dataset DOI: [10.5061/dryad.wm37pvn0j](10.5061/dryad.wm37pvn0j)

## Description of the data and file structure

Data for Figs.1-4 in  'Coherent Acoustic Frequency Comb via Floquet Engineering of Optical-tweezer Phonon Lasers' 

### Files and variables

#### File: Fig1c.xlsx

**Description:** **Fig. 1.** **Overview of the Floquet coherent acoustic frequency comb.** **c.** Power spectrum of phonons before and after the Floquet pump in experiment and simulation.

#### File: Fig2a.xlsx

**Description:** **Fig. 2.** **Coherent phonon lasing behaviors of the coherent acoustic frequency comb.** **a.** Evolutions of the coherent acoustic frequency comb. Measured phonon autocorrelations.

#### File: Fig2b.xlsx

**Description:** **Fig. 2.** **Coherent phonon lasing behaviors of the coherent acoustic frequency comb.** **b.** ***g***(2)(0) and at zero-time delay for **Ω+1,** and **2Ω+1** showing the phono...,

弗洛凯工程（Floquet engineering）以对各类系统的周期时间调控为核心，已助力研究者观测到诸多奇异现象，例如时间晶体、互易对称性破缺与例外拓扑。理论上，周期性驱动可使系统继承其时间周期，并产生新的谐波，或是在基频处扭曲能带结构。本研究将该技术与悬浮光力学（levitated optomechanics）相结合，首次实现了搭载微球声子激光器（microsphere phonon lasers）的相干声学频率梳（coherent acoustic frequency comb）。本研究表明，所提出的技术可灵活调控所得相干声学频率梳的梳齿数目与梳齿间距。特别地，本研究证实所有弗洛凯驱动的梳齿均可达到真正的相干态，即满足声子激光器（phonon lasers）的全部特征性质。本研究构建了一个可将非线性声子激光器转化为具备真正相干梳齿的相干声学频率梳的平台……
# 《基于光镊声子激光器（optical tweezer phonon lasers）的弗洛凯工程实现相干声学频率梳》
数据集DOI：10.5061/dryad.wm37pvn0j

数据与文件结构说明

对应《基于光镊声子激光器的弗洛凯工程实现相干声学频率梳》一文中图1至图4的数据集

### 文件与变量说明

#### 文件：Fig1c.xlsx
**说明：** **图1 弗洛凯相干声学频率梳概览**。**c**：实验与模拟中弗洛凯泵浦前后的声子功率谱

#### 文件：Fig2a.xlsx
**说明：** **图2 相干声学频率梳的相干声子激光行为**。**a**：相干声学频率梳的演化过程，以及实测声子自相关函数

#### 文件：Fig2b.xlsx
**说明：** **图2 相干声学频率梳的相干声子激光行为**。**b**：针对**Ω+1**与**2Ω+1**模式在零延时处的***g***(2)(0)及相关参数，展现声子……