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Variational approximation for two-dimensional quantum droplets.

Sherzod R Otajonov1, Eduard N Tsoy1, Fatkhulla Kh Abdullaev1

  • 1Physical-Technical Institute of the Uzbek Academy of Sciences, Chingiz Aytmatov str. 2-B, Tashkent 100084, Uzbekistan.

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Summary
This summary is machine-generated.

Quantum fluctuations in two-dimensional Bose-Einstein condensates create quantum droplets (QDs). Modulating these fluctuations can control QD dynamics, leading to oscillations, wave emission, or splitting.

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Area of Science:

  • Quantum physics
  • Condensed matter physics

Background:

  • Bose-Einstein condensates (BECs) are quantum states of matter.
  • Quantum fluctuations significantly impact BEC properties.
  • Localized density distributions, or quantum droplets (QDs), emerge in BECs.

Purpose of the Study:

  • To investigate the dynamics of 2D Bose-Einstein condensates with quantum fluctuations.
  • To analyze the properties of quantum droplets (QDs) using a variational approach.

Main Methods:

  • Variational approach applied to study QD properties.
  • Super-Gaussian function used to approximate QD profiles.
  • Derivation of dynamical equations for QD parameters.

Main Results:

  • Super-Gaussian function accurately describes fundamental QDs and those with vorticity.
  • Fixed points of dynamical equations identify parameters for stationary QDs.
  • Estimation of oscillation periods for QDs near stationary states.

Conclusions:

  • Periodic modulation of quantum fluctuations influences QD dynamics.
  • Observed phenomena include resonance oscillations, wave emission, and droplet splitting.
  • The study provides insights into controlling QD behavior through external modulation.