12 citations · 29 across the 6 of their papers we have counts for
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The transition from Bose-Einstein condensate to supersolid states in Rydberg-dressed gases beyond Bogoliubov approximation
Asliddin Khudoyberdiev, Zabardast Narzikulov, B. Tanatar
In this paper, we study Bose-Einstein condensation of Rydberg-dressed atoms considering finite range interactions. We use Hartree-Fock-Bogoliubov approximation based on Mean-Field…
Self-consistent theory of a homogeneous binary Bose mixture with strong repulsive interspecies interaction
Abdulla Rakhimov, Tolibjon Abdurakhmonov, Zabardast Narzikulov +1
Multicomponent quantum gases are ideal platforms to study fundamental phenomena arising from the mutual interaction between different constituents. Particularly, due to the repulsi…
Defining a critical temperature of a crossover from BEC to the normal phase in anisotropic quantum magnets
Abdulla Rakhimov, Asliddin Khudoyberdiev, Zabardast Narzikulov +1
We address the problem of identifying the critical temperature in a crossover from the Bose-Einstein condensed (BEC) phase to the normal phase. For this purpose we study the temper…
Gr{ü}neisen parameter of quantum magnets with spin gap
Abdulla Rakhimov, Zabardast Narzikulov, Andreas Schilling
Using Hartree-Fock-Bogoliubov (HFB) approach we obtained analytical expressions for thermodynamic quantities of the system of triplons in spin gapped quantum magnets such as magnet…
Phase Transitions in Three-Dimensional Bosonic Systems in Optical Lattices
H. Kleinert, Z. Narzikulov, Abdulla Rakhimov
We formulate the Collective Quantum Field Theory for three-dimensional bosonic optical lattices and evaluate its consequences in a mean-field approximation to two collective fields…
Quantum phase transitions in optical lattices beyond Bogoliubov approximation
H. Kleinert, Z. Narzikulov, Abdulla Rakhimov
We study the quantum phase transition in optical lattices using ordinary Bose Hubbard Hamiltonian within two loop approximation in variational perturbation theory. We have shown th…