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We predict subharmonic entrainment of breather-soliton oscillations to a periodic perturbation at the round-trip time TR in Kerr-nonlinear optical resonators; an integer ratio Tb=TR ¼ N ≫ 1 results for breathing period Tb. Rigid entrainment is observed with intermediate finesse (F ∼ 30–40) for N up to 20, and we propose a way to realize higher entrainment ratios at higher finesse. This nontrivial synchronization across the widely separated timescales of the photon lifetime and round-trip time points to a new direction for research in this field and may find application, for example, in the measurement of a pulse train repetition rate that is electronically inaccessible.
Cole, D.
and Papp, S.
(2019),
Subharmonic Entrainment of Kerr Breather Solitons, Physical Review Letters, [online], https://doi.org/10.1103/PhysRevLett.123.173904, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=927100
(Accessed October 9, 2025)