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Dissipative Kerr solitons, breathers, and chimera states in coherently driven passive cavities with parabolic potential

Yifan Sun, Pedro Parra-Rivas, Mario Ferraro, Fabio Mangini, Mario Zitelli, Raphaël Jauberteau, Francesco Rinaldo Talenti, and Stefan Wabnitz

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Abstract

We analyze the stability and dynamics of dissipative Kerr solitons (DKSs) in the presence of a parabolic potential. This potential stabilizes oscillatory and chaotic regimes, favoring the generation of static DKSs. Furthermore, the potential induces the emergence of new dissipative structures, such as asymmetric breathers and chimera-like states. Based on a mode decomposition of these states, we unveil the underlying modal interactions.

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Supplementary Material (2)

NameDescription
Visualization 1       Visualization of evolutions of symmetric and asymmetric breathers with the parameters of (d, P, C) = (2.5, 4.5, 1) [See Fig. 2(v) in the paper].
Visualization 2       Visualization of time evolutions of chaoticon and soliton with the parameters of (d, P, C) = (0.8, 4.5, 1) [See Fig. 2(iv) and Fig. 2(vi) in the paper].

Data availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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