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arXiv · 2105.01547

Kink-like Solitons in Quantum Droplet

Aradhya Shukla·Neeraj·Prasanta K. Panigrahi
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Abstract

Solitonic excitations of the one-dimensional quantum droplets are obtained, which smoothly connect vacuum with the flat-top droplet, akin to compactons in classical liquids. These solitons are of the kink type, necessarily residing on a constant pedestal, determined by the mean-field repulsion and beyond mean field quantum correction and having exactly one-third of the uniform condensate amplitude. Akin to the kinks, the propagating modes occur in pairs and are phase-locked with the background. The lowest chemical potential and condensate amplitude at the flat-top boundary matches with the self-trapped quantum droplet. More general excitations of analogous kind are obtained through the M\"obius transform, which connect the required solutions to elliptic functions in general.

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Aradhya Shukla, Neeraj, Prasanta K. Panigrahi. 2021-05-01. Kink-like Solitons in Quantum Droplet. https://doi.org/10.1088/1361-6455/ac1692

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