I am working on the droplet state in a Bose-Bose mixture. I have a question about the difference between the droplet liquid state and the soliton state: How we can treat a droplet state? And how do we know that we have a droplet state?
Bright/dark solitons are solutions to the GPE. Hence, they are predicted from mean-field theory and stabilised by mechanisms within this approximation.
Quantum liquid droplets are stabilised by beyond mean-field theory corrections, Lee-Huang-Yang (LHY) terms. The phyisical mechanism in their production, and hence in their dynamics and stability, is different.