A Klein-Gordon model with cubic and logarithmic interactions supports self-trapped quantum droplet solutions whose non-relativistic limit yields a generalized Gross-Pitaevskii equation with logarithmic correction.
Massive klein-gordon equation from a bose-einstein-condensation-based analogue spacetime.Physical Review D—Particles, Fields, Gravitation, and Cosmology, 72(4):044020
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Emergent Quantum Droplets in Logarithmic Klein-Gordon Models of Bose-Einstein Condensates
A Klein-Gordon model with cubic and logarithmic interactions supports self-trapped quantum droplet solutions whose non-relativistic limit yields a generalized Gross-Pitaevskii equation with logarithmic correction.