Droplet-gas phases in particle imbalanced mixtures 

We map out the ground state phase diagram of two-component particle-imbalanced droplets in three-dimensional confinements. A gradual transition from mixed droplet-gas to gas configurations is identified upon tuning either the average intercomponent attraction or the transverse confinement. The mixed droplet structures are characterized by a droplet minority component, while the majority species splits into a droplet fragment (that follows the density‑ratio locking condition) and a surrounding gas fraction. The latter is tunable upon suitable variations of the atom number, the imbalance, the trap aspect ratio, or the confinement radius. Our extended Gross-Pitaevskii results are corroborated by a suitable variational approximation capturing the shape and characteristics of droplet-gas fragments. To dynamically probe the properties of these exotic phases, we simulate the standard time-of-flight and radio frequency experimental techniques unveiling the resilience of the droplet fragment, the expansion of the gas fraction and the role of self‑evaporation. Our results provide experimentally accessible pathways for probing exotic self‑bound quantum matter and unseen out-of-equilibrium droplet dynamics.