Collective excitations of a trapped Bose-condensed gas

Details Collective excitations of a trapped Bose-condensed gas Collective excitations of a trapped Bose-condensed gas

1996-03-18

arxiv.org/abs/cond-mat/9603126v1

Physics

Condensed Matter

uuencoded file including 12 pages REVTEX and 1 figure

Scientific paper

10.1103/PhysRevLett.77.2360

By taking the hydrodynamic limit we derive, at $T=0$, an explicit solution of the linearized time dependent Gross-Pitaevskii equation for the order parameter of a Bose gas confined in a harmonic trap and interacting with repulsive forces. The dispersion law $\omega=\omega_0(2n^2+2n\ell+3n+\ell)^{1/2}$ for the elementary excitations is obtained, to be compared with the prediction $\omega=\omega_0(2n+\ell)$ of the noninteracting harmonic oscillator model. Here $n$ is the number of radial nodes and $\ell$ is the orbital angular momentum. The effects of the kinetic energy pressure, neglected in the hydrodynamic approximation, are estimated using a sum rule approach. Results are also presented for deformed traps and attractive forces.

Affiliated with

Also associated with

No associations

Rating

Collective excitations of a trapped Bose-condensed gas does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Collective excitations of a trapped Bose-condensed gas, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Collective excitations of a trapped Bose-condensed gas will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-613141