Dr. Shukhrat Mardonov

This presentation discusses nonlinear dynamical phenomena in Bose–Einstein condensates, with particular focus on spin-orbit-coupled condensates and polaron dynamics. It first examines how spin-orbit coupling and Rabi-frequency management can control or suppress collapse in quasi-low-dimensional condensates. The work then explores the interference of two condensates, showing that synthetic spin-orbit coupling and magnetic fields can tune the interference pattern through spin-state manipulation. Finally, the presentation investigates polarons embedded in Bose–Einstein condensates, including coupled condensate–particle dynamics, Keplerian-like trajectories, and gravitating polaron behavior. The results demonstrate that condensate density acts as a form of quantum soft matter, significantly affecting impurity motion and gravitational-like fall dynamics.