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Fig. 19a shows a histogram of 5000 atom detections from condensates initially containing N/2"5000 atoms each (neglecting collisions). From a fit of the data to a function of the form 1# cos(2 x# ), the visibility of the interference pattern, , is calculated to be 1. The conditional probability distributions calculated before each detection contain what one can define as a conditional visibility. Following the value of this conditional visibility gives a quantitative measure of the buildup of the interference pattern as a function of the number of detections.

107) and (108)], self-consistent solutions for the various quantities can be obtained. Hutchinson et al. (1997) have used this approach (in the Popov approximation) to examine the temperature dependence of the condensate and noncondensate density profiles of a gas of rubidium atoms (N &2000) in  a spherically symmetric harmonic trap. ] At finite temperatures (approaching the critical temperature), they find a two-component structure consisting of a dense core of condensed atoms on top of a diffuse cloud of excited atoms with an extended tail.

1997) have used this approach (in the Popov approximation) to examine the temperature dependence of the condensate and noncondensate density profiles of a gas of rubidium atoms (N &2000) in  a spherically symmetric harmonic trap. ] At finite temperatures (approaching the critical temperature), they find a two-component structure consisting of a dense core of condensed atoms on top of a diffuse cloud of excited atoms with an extended tail. For a sample of atoms with N "2000, they also considered the variation of the lowest  excitation frequencies with temperature, finding a relatively weak temperature dependence until the temperature approaches ¹ , where the lowest excitation frequencies approach those of a noninteracting gas.

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Physics Reports vol.303


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