Collective oscillations of dipolar Bose-Einstein condensates and accurate comparison between contact and dipolar interaction

We propose a scheme for the measurement of the s-wave scattering length \(a\) of an atom or molecule with significant dipole-dipole interaction with an accuracy at the percent level. The frequencies of the collective oscillations of a Bose-Einstein condensate are shifted by the magnetic dipole inter...

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Bibliographic Details
Published in:arXiv.org 2006-08
Main Authors: Giovanazzi, S, Santos, L, Pfau, T
Format: Article
Language:English
Subjects:
Bose-Einstein condensates
Dipole interactions
Magnetic dipoles
Oscillations
Polarization
Wave scattering
Online Access:Get full text
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Summary:We propose a scheme for the measurement of the s-wave scattering length \(a\) of an atom or molecule with significant dipole-dipole interaction with an accuracy at the percent level. The frequencies of the collective oscillations of a Bose-Einstein condensate are shifted by the magnetic dipole interaction. The shift is polarization dependent and proportional to the ratio \(\epsilon_{dd}\) of dipolar and s-wave coupling constants. Measuring the differences in the frequencies for different polarization we can extract the value of \(\epsilon_{dd}\) and thus measure \(a\). We calculate the frequency shifts for a large variety of non-axisymmetric harmonic traps in the Thomas-Fermi limit and find optimal trapping geometries to maximize the shifts.
ISSN:2331-8422
DOI:10.48550/arxiv.0608291