The Surface of a Bose-Einstein Condensed Atomic Cloud

Abstract

We investigate the structure and collective modes of a planar surface of a trapped Bose-Einstein condensed gas at zero temperature. In the long-wavelength limit we find a mode similar to the gravity wave on the surface of a fluid with the frequency $\omega$ and the wavenumber $q$ related by ${\omega }^2=Fq/m$. Here $F$ is the force due to the confining potential at the surface and $m$ is the particle mass. At shorter wavelengths we use a variational approach and find corrections to ${\omega }^2$ of order $q^4\ln q$. We demonstrate the usefulness of the concept of an effective surface tension for describing both static and dynamic properties of condensed atomic clouds.

8 pages, REVTEX, submitted to Phys. Rev. A

References in corpus (3)

• Collective excitations of a trapped Bose-condensed gas
• Ground-State Properties of Magnetically Trapped Bose-Condensed Rubidium Gas
• Order Parameter at the Boundary of a Trapped Bose Gas

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