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Rotating Multidimensional Quantum Droplets.

Liangwei Dong1, Yaroslav V Kartashov2

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We predict novel stable quantum droplets that persistently rotate in 2D and 3D. These robust droplets exhibit diverse shapes and transform into vortex structures at higher rotation frequencies.

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Area of Science:

  • Quantum physics
  • Nonlinear dynamics
  • Condensed matter physics

Background:

  • Quantum droplets are a frontier in quantum physics, exhibiting unique properties due to quantum pressure and interparticle interactions.
  • Understanding their behavior in external potentials and under rotation is crucial for exploring novel quantum phenomena.

Purpose of the Study:

  • To predict and characterize a new class of stable, rotating quantum droplets in two and three dimensions.
  • To investigate the influence of nonlinear interactions and external potentials on droplet dynamics and morphology.

Main Methods:

  • Utilizing the Gross-Pitaevskii equations incorporating Lee-Huang-Yang quantum corrections to model droplet evolution.
  • Analyzing the system's behavior under varying chemical potentials and rotation frequencies in a 2D external potential.

Main Results:

  • Predicted stable, persistently rotating quantum droplets in 2D and 3D, exhibiting diverse shapes from flat-top to crescent-like.
  • Observed transformation into vortex droplets and vortex tori above a critical rotation frequency, with topological charge dependent on chemical potential.
  • Demonstrated exceptional robustness and stability across their existence range.

Conclusions:

  • These rotating quantum droplets represent a new family of nonlinear modes, bridging fundamental and vortex states.
  • Their stability and rich variety of forms offer new avenues for exploring quantum fluid dynamics and nonlinear phenomena.