44 citations · 70 across the 8 of their papers we have counts for
8 papers · 1 filter
Front-based construction of quantum droplets, bubbles, and hole states in a Bose mixture
Sherzod R. Otajonov, Fatkhulla Kh. Abdullaev
We study nonlinear holes, bubbles, kink fronts, and quantum-droplet-like states in an elongated Bose mixture governed by an extended Gross-Pitaevskii equation with attractive cubic…
Quantum scattering of droplets by wells and barriers in one-dimensional Bose-Bose mixtures
Sherzod R. Otajonov, Uktambek R. Eshimbetov, Bakhram A. Umarov +1
We investigate, both analytically and numerically, the scattering of quasi-one-dimensional quantum droplets from Pöschl-Teller potential wells and barriers. For attractive wells, w…
Josephson Dynamics of 2D Bose-Einstein Condensates in Dual-Core Trap: Homogeneous, Droplet-Droplet, and Vortex-Vortex Regimes
Sherzod R. Otajonov, Fatkhulla Kh. Abdullaev
The dynamics of a two-dimensional Bose-Einstein condensate mixture, loaded into a dual-core trap, when beyond-mean-field effects are taken into account, are considered. The effects…
Beyond mean-field effects in Josephson oscillations and self-trapping of Bose-Einstein condensates in two-dimensional dual-core traps
Sherzod R. Otajonov, Fatkhulla Kh. Abdullaev, Akbar Shermaxmatov
We study a binary Bose gas in a symmetric dual-core, pancake-shaped trap, modelled by two linearly coupled two-dimensional Gross-Pitaevskii equations with Lee-Huang-Yang correction…
Dynamics of quasi-one-dimensional quantum droplets in Bose-Bose mixtures
Sherzod R. Otajonov, Bakhram A. Umarov, Fatkhulla Kh. Abdullaev
The properties of quasi-one-dimensional quantum droplets of Bose-Einstein condensates are investigated analytically and numerically, taking into account the contribution of quantum…
Modulational instability in a quasi-one-dimensional Bose-Einstein condensates
Sherzod R. Otajonov, Bakhram A. Umarov, Fatkhulla Kh. Abdullaev
In this work, we investigate the modulational instability of plane wave solutions within a modified Gross-Pitaevskii equation framework. The equation features cubic and quartic non…
Quantum droplets in three-dimensional Bose-Einstein condensates
Sherzod R. Otajonov
The properties of 3D Bose-Einstein condensate have been studied with variational and numerical methods. In the variational approach, we use the super-Gaussian trial function, and i…
Modulational instability and quantum droplets in a two-dimensional Bose-Einstein condensate
Sherzod R. Otajonov, Eduard N. Tsoy, Fatkhulla Kh. Abdullaev
Modulational instability of a uniform two-dimensional binary Bose-Einstein condensate (BEC) in the presence of quantum fluctuations is studied. The analysis is based on the coupled…