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arXiv · 2302.07767

Solitary waves in a quantum droplet-bearing system

G. C. Katsimiga·S. I. Mistakidis·G. N. Koutsokostas·D. J. Frantzeskakis·R. Carretero-Gonzalez·P. G. Kevrekidis
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Abstract

We unravel the existence and stability properties of dark soliton solutions as they extend from the regime of trapped quantum droplets towards the Thomas-Fermi limit in homonuclear symmetric Bose mixtures. Leveraging a phase-plane analysis, we identify the regimes of existence of different types of quantum droplets and subsequently examine the possibility of black and gray solitons and kink-type structures in this system. Moreover, we employ the Landau dynamics approach to extract an analytical estimate of the oscillation frequency of a single dark soliton in the relevant extended Gross-Pitaevskii model. Within this framework, we also find that the single soliton immersed in a droplet is stable, while multisoliton configurations exhibit parametric windows of oscillatory instabilities. Our results pave the way for studying dynamical features of nonlinear multisoliton excitations in a droplet environment in contemporary experimental settings.

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G. C. Katsimiga, S. I. Mistakidis, G. N. Koutsokostas, D. J. Frantzeskakis, R. Carretero-Gonzalez, P. G. Kevrekidis. 2023-02-15. Solitary waves in a quantum droplet-bearing system. https://doi.org/10.1103/physreva.107.063308

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