Propagation properties and stability of dark solitons in weakly interacting Bose-Bose droplets

Abstract

We investigate dark solitons in two-component Bose systems with competing interactions in one dimension. Such a system hosts a liquid phase stabilized by the beyond-mean field corrections. Using the generalized Gross-Pitaevskii equation, we reveal the presence of two families of solitonic solutions. The solitons in both of them can be engineered to be arbitrarily wide. One family of solutions, however, has got an anomalous dispersion relation and our analyses show one of its branches is unstable. We find the presence of a critical velocity demarcating the stable from unstable solutions. Nonetheless, grey anomalous solitons are able to exist inside quantum droplets and can be treated as solitonic excitations thereof.

arXiv comment10 pages, 6 figures

References in corpus (29)

• Quantum Mechanical Stabilization of a Collapsing Bose-Bose Mixture
• Quantum liquid droplets in a mixture of Bose-Einstein condensates
• Observation of quantum droplets in a strongly dipolar Bose gas
• Observing the Rosensweig instability of a quantum ferrofluid
• Self-bound quantum droplets in atomic mixtures
• Self-bound droplets of a dilute magnetic quantum liquid
• Ultradilute low-dimensional liquids
• Bright soliton to quantum droplet transition in a mixture of Bose-Einstein condensates
• Observation of Quantum Droplets in a Heteronuclear Bosonic Mixture
• Dynamics of one-dimensional quantum droplets
• Collisions of self-bound quantum droplets
• Solitary waves in clouds of Bose-Einstein condensed atoms
• Collective Excitations of a One-Dimensional Quantum Droplet
• The liquid state of one-dimensional Bose mixtures: a quantum Monte-Carlo study
• Quantum droplets in one-dimensional Bose mixtures: a quantum Monte-Carlo study
• Dark-bright Solitons and their Lattices in Atomic Bose-Einstein Condensates
• Use of the Discrete Variable Representation Basis in Nuclear Physics
• Dark soliton decay due to trap anharmonicity in atomic Bose-Einstein condensates
• Solitary waves in a quantum droplet-bearing system
• Quantum states of dark solitons in the 1D Bose gas
• Interactions and dynamics of one-dimensional droplets, bubbles and kinks
• Dark quantum droplets and solitary waves in beyond-mean-field Bose-Einstein condensate mixtures
• Stable, mobile, dark-in-bright, dipolar Bose-Einstein condensate soliton
• Ultrawide dark solitons and droplet-soliton coexistence in a dipolar Bose gas with strong contact interactions
• Mixed Bubbles in a one-dimensional Bose-Bose mixture
• Kink-like Solitons in Quantum Droplet
• Quantum Monte Carlo-based density functional for one-dimensional Bose-Bose mixtures
• One-dimensional purely Lee-Huang-Yang fluids dominated by quantum fluctuations in two-component Bose-Einstein condensates
• Trapped Imbalanced Quantum Droplets

Cited by in corpus (4)

• Stability and dynamics of nonlinear excitations in a two-dimensional droplet-bearing environment
• Energy spectra and fluxes of two-dimensional turbulent quantum droplets
• Yrast states of quantum droplets confined in a ring potential
• Phase diagram and elementary excitations of strongly interacting droplets with non-local interactions