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The European Physical Journal D

A new kind of quantum structure: arrays of cavity solitons induced by quantum fluctuations

Ivan Rabbiosi, Andrew J. Scroggie, Gian‐Luca Oppo

Published Mar 1, 2003• 11 citations
Publisher
DOI
10.1140/epjd/e2003-00039-3

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Optics Express•Jun 24, 2024•1 citation
Dark solitons are thought to always repel so that bound states of dark solitons do not form. We show that quantum fluctuations of the background induce attractive forces between dark optical solitons. We clarify the nature of these fluctuations. Together with the repulsive potential, this attractive force creates a potential similar to that in a diatomic molecule which allows for the formation of bound pairs of dark solitons. Such pairs can be useful in the creation of notch arrays and crystal-like structures.
The manipulation of light propagation has garnered significant attention in discrete periodic photon structures. In this study, we investigate the impact of an adjustable phase on soliton behavior within a one-dimensional (1D) coupled cavity array. Each cavity is doped with two-level qubits, and the system can be effectively described by a Jaynes-Cummings-Hubbard model (JC-Hubbard model). By numerically exploring the photonic phase, we reveal that it introduces an additional degree of flexibility in controlling soliton propagation. This flexibility encompasses dispersion relations, propagation direction, transverse velocity, and stability conditions. We observe that soliton styles transition with changes in the tunneling phase. At a phase of 0, solitons form due to the delicate balance between spatial dispersion and system nonlinearity. When the phase increases to π/2, solitons vanish because spatial dispersion is significantly suppressed. The underlying theory explains this suppression, which arises from the opposite phase ±θ. Interestingly, standard temporal solitons emerge in the discrete periodic cavity array. Our investigation has broader applicability extending to various discrete structures, encompassing but not limited to waveguide arrays and optomechanical cavity arrays.