Solitary waves in a quantum droplet-bearing system

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.

Automated summary

We investigate the existence and stability properties of dark soliton solutions in homonuclear symmetric Bose mixtures, extending from trapped quantum droplets to the Thomas-Fermi limit. Using phase-plane analysis, we identify the existence regimes of different types of quantum droplets and explore the possibility of black and gray solitons and kink-type structures. We also determine the oscillation frequency of a single dark soliton in the Gross-Pitaevskii model and find that multisoliton configurations exhibit oscillatory instabilities.