Threshold of complexity and Arnold tongues in Kerr-ring microresonators

Dmitry Skryabin, Zhiwei Fan, Alberto Villois, Danila Puzyrev

Research output: Contribution to journalArticlepeer-review

18 Citations (SciVal)
93 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

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