English

Kink-like Solitons in Quantum Droplet

Quantum Gases 2021-09-22 v1 Pattern Formation and Solitons

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.

Keywords

Cite

@article{arxiv.2105.01547,
  title  = {Kink-like Solitons in Quantum Droplet},
  author = {Aradhya Shukla and Neeraj and Prasanta K. Panigrahi},
  journal= {arXiv preprint arXiv:2105.01547},
  year   = {2021}
}

Comments

11 Pages, 1 Figure

R2 v1 2026-06-24T01:46:18.489Z