Approximate theories for binary magnetic quantum droplets

Abstract

We develop two approximate theories to describe the miscible and immiscible droplets that can occur in a binary mixture of highly magnetic bosonic atoms. In addition to allowing simpler calculations, the approximate theories provide insight into the role of quantum fluctuations in the two regimes. Results are validated by comparison to those from the extended Gross-Pitaevskii equation. As an application we solve for the ground state droplets crossing the miscible-immiscible transition as function of the short-ranged interspecies interaction parameter. We consider regimes where the transition occurs suddenly or as a smooth cross-over. Using dynamical calculations we show that the character of the transition is revealed in the number of domains produced when ramping the droplet into the immiscible regime.

10 pages, 6 figures

References in corpus (6)

• Quantum liquid droplets in a mixture of Bose-Einstein condensates
• Quantum-fluctuation-driven crossover from a dilute Bose-Einstein condensate to a macro-droplet in a dipolar quantum fluid
• Lee-Huang-Yang effects in the ultracold mixture of ${}^{23}$Na and ${}^{87}$Rb with attractive interspecies interactions
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• Feshbach Resonances in an Erbium-Dysprosium Dipolar Mixture
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Cited by in corpus (4)

• Study of the inter-species interactions in an ultracold dipolar mixture
• Catalyzation of supersolidity in binary dipolar condensates
• Two-dimensional miscible-immiscible supersolid and droplet crystal state in a homonuclear dipolar bosonic mixture
• Stability of a flattened dipolar binary condensate: emergence of the spin roton