2001/05/29 by F. Kh. Abdullaev, Abdullaev, F. Kh., B. B. Baizakov +3
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Orbital Angular Momentum in Optics #Quantum Information and Cryptography #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0105565
To appear in "Nonlinearity and Disorder: Theory and Applications" Eds. F. Kh. Abdullaev, O. Bang, M. P. Soerensen (Kluwer Academic Publishers, 2001)
arxiv created 2001/05/29 · openalex publication_date 2001/05/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The dynamics of a 2D Bose-Einstein condensate in optical trap is studied taking into consideration fluctuations of the far-off-resonance laser field intensity. The problem is described in the frame of the mean field Gross-Pitaevskii equation with randomly varying trap potential. An analytic approach based on the moments method has been employed to describe the noise induced evolution of the condensate properties. Stochastic parametric resonance in oscillations of the condensate width is proved to exist. For the condensate with negative scattering length of atoms, it is shown that the noise can delay or even arrest the collapse. Analytical predictions are confirmed by numerical simulations of the underlying PDE and ODE models.