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Phys. Rev. A 65, 033617 (2002) [7 pages]

Sum rule for the optical spectrum of a trapped gas

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M. Ö. Oktel1,*, T. C. Killian1,2,†, D. Kleppner1,2, and L. S. Levitov1
1Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
2Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Received 1 October 2001; published 26 February 2002

We develop an exact sum rule that relates the spectral shift of a trapped gas undergoing cold collisions to measurable quantities of the system. The method demonstrates the dependence of the cold collision frequency shift on the quantum degeneracy of the gas and facilitates extracting scattering lengths from the data. To illustrate the method, we consider optical shift for the Thomas-Fermi model of Bose-Einstein condensate in a harmonic optical trap.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.033617
DOI:
10.1103/PhysRevA.65.033617
PACS:
03.75.Fi, 32.80.Pj

*Current address: Department of Physics, The Ohio State University, Columbus, Ohio 43210.

Current address: Department of Physics and Astronomy, Rice University, Houston, Texas 77005.