The University of British Columbia

British Columbia Institute of Technology

Roman V Krems

Kirk William Madison

James Lawrence Booth

Pinrui Shen

A method determines a total velocity average cross-section parameter&#x3c3;&#x3bd;in a relationship of the form &#x393;(U)=n&#x3c3;&#x3bd;&#xb7;&#x192;(U, U), where: &#x393;(U) is a rate of exponential loss of sensor atoms from a cold atom sensor trap of trap depth potential energy U in a vacuum environment due to collisions with residual particles in the vacuum environment; nis a number density of residual particles in the vacuum environment; Uis a parameter given by which relates the masses of the sensor atoms mand residual particles mto the total velocity average cross-section parameter&#x3c3;&#x3bd;; and &#x192;(U, U) is a function of the trap depth potential energy U and the parameter Uwhich models a naturally occurring dependence of the loss rate &#x393;(U) on the trap depth potential energy U and the parameter U, where &#x192;(U=0, U) is unity for all U.

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Roman V Krems