Density excitations of a harmonically trapped ideal gas |
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Authors: | Jai Carol Cruz C. N. Kumar K. N. Pathak J. Bosse |
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Affiliation: | (1) Hasylab/DESY, Notkestrasse 85, 22607 Hamburg, Germany;(2) European Synchrotron Radiation Facility, BP220, 38043 Grenoble Cedex, France;(3) LCLS, SLAC National Accelerator Laboratory, 2575 Sand Hill Rd., 94025 Menlo Park, CA, USA; |
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Abstract: | The dynamic structure factor S(q, ω) of a harmonically trapped Bose gas has been calculated well above the Bose-Einstein condensation temperature by treating the gas cloud as a canonical ensemble of non-interacting classical particles. The static structure factor is found to vanish s8 q 2 in the long-wavelength limit. We also incorporate a relaxation mechanism phenomenologically by including a stochastic friction force to study S(q, ω). A significant temperature dependence of the density fluctuation spectra is found. The Debye-Waller factor has been calculated for the trapped thermal cloud as a function of q and the number N of atoms. A substantial difference is found for small- and large-N clouds. |
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