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arXiv · 2504.04788

Parametrically driven Kerr temporal soliton crystals

Yifan Sun·Clément Dupont·Edem Kossi Akakpo·Francesco De Lucia·Georges Semaan·Simon-Pierre Gorza·François Leo
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Abstract

We theoretically investigate the dynamics of parametrically driven soliton crystals (PDSC) and their associated frequency combs in doubly resonant cavities with quadratic and cubic nonlinearities. We show that, in a regime with strong pump--signal walk-off where the homogeneous state is unstable, noise-seeded dynamics relaxes toward stable, equally spaced multi-soliton states. At fixed detuning, the driving strength acts as the primary control parameter for the soliton number. Pump signal walkoff extends pump depletion from a local perturbation to a global constraint, enabling long-range soliton interactions; in combination with the pump phase, this mechanism stabilizes the crystal's equal spacing and preserves comb coherence. Additionally, we identify a novel nonlinear state in parametric soliton crystals in which circulating solitons periodically alternate their intensities and group velocities, a phenomenon we term the {\it soliton-pursuing} state. Furthermore, due to the phase-selective nature of the optical parametric process, we show how different configurations of soliton phases determine the optical frequency combs, enabling odd-harmonic and subharmonic-like combs.

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Yifan Sun, Clément Dupont, Edem Kossi Akakpo, Francesco De Lucia, Georges Semaan, Simon-Pierre Gorza, François Leo. 2025-04-07. Parametrically driven Kerr temporal soliton crystals. https://doi.org/10.1088/2515-7647%2Fae79bf

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