Nonlinear Modes of a Macroscopic Quantum Oscillator
Yuri S. Kivshar, Tristram J. Alexander, Sergey K. Turitsyn
TL;DR
This paper analyzes the nonlinear collective modes of a Bose-Einstein condensate in a trap, extending classical harmonic oscillator modes to a nonlinear quantum regime through analytical and numerical methods.
Contribution
It introduces a nonlinear generalization of Hermite-Gauss modes for a macroscopic quantum oscillator modeled by a Bose-Einstein condensate.
Findings
Derived analytical expressions for nonlinear collective modes.
Numerically validated the existence of nonlinear Hermite-Gauss modes.
Extended understanding of quantum oscillators beyond linear approximations.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Orbital Angular Momentum in Optics · Mechanical and Optical Resonators