Threshold of complexity and Arnold tongues in Kerr-ring microresonators

Dmitry Skryabin, Zhiwei Fan, Alberto Villois, Danila Puzyrev

Research output: Contribution to journalArticlepeer-review

19 Citations (SciVal)
121 Downloads (Pure)

Abstract

We show that the threshold condition for two pump photons to convert into a pair of the sideband ones in Kerr microresonators with high-quality factors breaks the pump laser parameter space into a sequence of narrow in frequency and broad in power Arnold tongues. Instability tongues become a dominant feature in resonators with the finesse dispersion parameter close to and above one. As pump power is increased, the tongues expand and cross by forming a line of cusps, i.e., the threshold of complexity, where more sideband pairs become unstable. We elaborate theory for the tongues and threshold of complexity, and report the synchronisation and frequency-domain symmetry breaking effects inside the tongues.
Original languageEnglish
Article numberL011502
JournalPhysical Review A
Volume103
Issue number1
Early online date6 Jan 2021
DOIs
Publication statusPublished - 31 Jan 2021

Funding

This work was supported by the EU Horizon 2020 Framework Programme (812818, MICROCOMB). We are deeply indebted to W. J. Firth and L. A. Lugiato for invaluable comments and interest in our work.

Fingerprint

Dive into the research topics of 'Threshold of complexity and Arnold tongues in Kerr-ring microresonators'. Together they form a unique fingerprint.

Cite this