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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?

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  • 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.

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Quantum droplest and brigth solitons are two different states in BEC. Indeed the droplets are three-dimensional solutions that exist even in free space in contrast, solitons require the gas to remain effectively one dimensional.

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