Coherent acoustic frequency comb via floquet engineering of optical tweezer phonon lasers
Data files
Dec 22, 2025 version files 6.22 MB
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Fig1c.xlsx
1.90 MB
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Fig2a.xlsx
1.45 MB
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Fig2b.xlsx
10.16 KB
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Fig2c.xlsx
10.20 KB
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Fig3a.xlsx
40.37 KB
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Fig3b.xlsx
51.80 KB
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Fig3c.xlsx
55.56 KB
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Fig4a.xlsx
1.86 MB
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Fig4c.xlsx
793.82 KB
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Fig4d.xlsx
9.94 KB
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Fig4e.xlsx
9.40 KB
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Fig4f.xlsx
9.54 KB
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Fig4g.xlsx
9.56 KB
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README.md
3.41 KB
Abstract
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 teeth.
Dataset DOI: 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 phonon lasing behavior of the Floquet sidebands. The error bars denote the standard deviation of each measurement, consisting of 55 samples.
File: Fig2c.xlsx
Description: Fig. 2. Coherent phonon lasing behaviors of the coherent acoustic frequency comb. c. g(3)(0) at zero-time delay for Ω+1, and 2Ω+1 showing the phonon lasing behavior of the Floquet sidebands. The error bars denote the standard deviation of each measurement, consisting of 55 samples.
File: Fig3a.xlsx
Description: Fig. 3. Phase coherence of frequency combs. a. Measured displacement the microsphere, showing a stable envelope state.
File: Fig3b.xlsx
Description: Fig. 3. Phase coherence of frequency combs. b. Velocity of the microsphere, showing a stable envelope state.
File: Fig3c.xlsx
Description: Fig. 3. Phase coherence of frequency combs. c. Phase noise of the coherent acoustic frequency comb and the phonon laser.
File: Fig4a.xlsx
Description: Fig. 4. Coherent acoustic frequency comb with Floquet engineering. a. Three typical power spectra for different modulation frequencies Ωmod.
File: Fig4c.xlsx
Description: Fig. 4. Coherent acoustic frequency comb with Floquet engineering.c. The evolution of the power spectrum with increasing modulation depth η, showing the generation of new comb teeth around the phonon lasing modes Ω0, 2Ω0, 3Ω0 with Floquet engineering.
File: Fig4d.xlsx
Description: Fig. 4. Coherent acoustic frequency comb with Floquet engineering. d. The intensity of phonon power spectra of phonon lasing Ω0, Ω+1, and Ω+2, with varying modulation depth, indicating energy transfers from the fundamental mode to two sidebands.
File: Fig4e.xlsx
Description: Fig. 4. Coherent acoustic frequency comb with Floquet engineering. e. Phonon population <N> versus η for the sideband Ω+1.
File: Fig4f.xlsx
Description: Fig. 4. Coherent acoustic frequency comb with Floquet engineering. f. Measured phonon autocorrelations g(2)(0) at zero-time delay for Ω+1.
File: Fig4g.xlsx
Description: Fig. 4. Coherent acoustic frequency comb with Floquet engineering. g. Measured phonon autocorrelations g(3)(0) at zero-time delay for Ω+1.