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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.
Physical Review. E
|January 20, 2021
Summary
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.
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.
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