Abstract
We investigate the nonlinear coupling between the lowest three scissors modes of a Bose–Einstein condensate at zero temperature. Using a variational approach with a general variational wave function we determine, solely from the parity of the scissors modes, the nonvanishing coupling terms. In agreement with a similar previous calculation with a Gaussian variational wave function, which is a special case of our general function, we find two resonance conditions at trap anisotropy ratios λ = 1 and λ = √7. We use the latter condition to explain the observed resonance in the collisional damping of scissors modes. In addition, we investigate the higher order scissors modes and the eigenmodes and eigenfrequencies for isotropic traps.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
