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Updated: Nov 20, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
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.
Abstract:
The dynamics of a two-dimensional Bose-Einstein condensate in a presence of quantum fluctuations is studied. The properties of localized density distributions, quantum droplets (QDs), are analyzed by means of the variational approach. It is demonstrated that the super-Gaussian function gives a good approximation for profiles of fundamental QDs and droplets with nonzero vorticity. The dynamical equations for parameters of QDs are obtained. Fixed points of these equations determine the parameters of stationary QDs. The period of small oscillations of QDs near the stationary state is estimated. It is obtained that periodic modulations of the strength of quantum fluctuations can actuate different processes, including resonance oscillations of the QD parameters, an emission of waves and a splitting of QDs into smaller droplets.
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