Sum rule for the optical spectrum of a trapped gas

M. Ö. Oktel; T. C. Killian; D. Kleppner; L. S. Levitov

doi:10.1103/PhysRevA.65.033617

Sum rule for the optical spectrum of a trapped gas

M. Ö. Oktel, T. C. Killian, D. Kleppner, and L. S. Levitov

Phys. Rev. A 65, 033617 – Published 26 February 2002

Abstract

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.

Received 1 October 2001

DOI:https://doi.org/10.1103/PhysRevA.65.033617

Authors & Affiliations

M. Ö. Oktel^1,*, T. C. Killian^1,2,†, D. Kleppner^1,2, 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

^*Current address: Department of Physics, The Ohio State University, Columbus, Ohio 43210.
^†Current address: Department of Physics and Astronomy, Rice University, Houston, Texas 77005.

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Vol. 65, Iss. 3 — March 2002

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