44 citations · 70 across the 8 of their papers we have counts for
10 papers
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…
Modulational instability and discrete quantum droplets in a deep quasi-one-dimensional optical lattice
Sherzod R. Otajonov, Bakhram A. Umarov, Fatkhulla Kh. Abdullaev
We study the properties of modulational instability and discrete breathers arising in a quasi-one-dimensional discrete Gross-Pitaevskii equation with Lee-Huang-Yang corrections. Co…
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…
Stationary and dynamical properties of one-dimensional quantum droplets
Sherzod R. Otajonov, Eduard N. Tsoy, Fatkhulla Kh. Abdullaev
The dynamics of quantum droplets in 1D is analyzed on the basis of the variational approach (VA). It is shown that the VA based on the super-Gaussian function gives a good approxim…