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Kelvin-Wave Multiplication by Sound Emission
Abstract
A subsonic Kelvin quantum can emit a phonon and split into two softer quanta, increasing Kelvin population while losing energy. In the soft-phonon limit, rotational invariance relates the leading acoustic shear amplitude, odd under reversal of phonon axial momentum, to the energy released. Microscopic calculations support this dispersion dependence. In a reflecting cavity with coherent sound and Kelvin seeds, Gross--Pitaevskii evolution shows Kelvin gain, larger mean-square displacement and smaller mean-square slope; a π shift of the initial sound phase reverses these changes.
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BibTeX
@misc{yang2026kelvinwave,
title = {{Kelvin-Wave Multiplication by Sound Emission}},
author = {Weican Yang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.39909},
eprint = {2610.39909},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.39909},
}
RIS
TY - UNPB
TI - Kelvin-Wave Multiplication by Sound Emission
AU - Weican Yang
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.39909
UR - https://arxiv.org/abs/2610.39909
AB - A subsonic Kelvin quantum can emit a phonon and split into two softer quanta, increasing Kelvin population while losing energy. In the soft-phonon limit, rotational invariance relates the leading acoustic shear amplitude, odd under reversal of phonon axial momentum, to the energy released. Microscopic calculations support this dispersion dependence. In a reflecting cavity with coherent sound and Kelvin seeds, Gross--Pitaevskii evolution shows Kelvin gain, larger mean-square displacement and smaller mean-square slope; a π shift of the initial sound phase reverses these changes.
ER -