Nonlinear modes of a macroscopic quantum oscillator |
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| Affiliation: | 1. Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran 15875-4413, Iran;2. Center for Nonlinear Dynamics, College of Engineering, Defence University, Bishoftu, Ethiopia;3. Ministry of Higher Education and Scientific Research, Baghdad, Iraq;4. NAAM Research Group, King Abdulaziz University, Jeddah, Saudi Arabia;5. Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam;6. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan |
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| Abstract: | We consider the Bose–Einstein condensate in a parabolic trap as a macroscopic quantum oscillator and describe, analytically and numerically, its collective modes — a nonlinear generalisation of the (symmetric and antisymmetric) Hermite–Gauss eigenmodes of a harmonic quantum oscillator. |
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