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25 April 2024
 
  » arxiv » 1108.2119

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Temporal correlations of elongated Bose gases at finite temperature
Alice Bezett ; Emil Lundh ;
Date 10 Aug 2011
AbstractTemporal correlations in the harmonically trapped finite temperature Bose gas are studied through the calculation of appropriate phase correlation functions. A wide parameter regime is covered to ascertain the role that temperature fluctuations and trap geometry play in the temporal coherence of the 1D to 3D crossover region. Bogoliubov analysis is used to establish results in the 1D and spherical limits. Formalism is then developed using the projected Gross-Pitaevskii equation to calculate correlation functions in 3D simulations of varying trap elongation and temperature. This finite temperature formalism is then further developed to simulate a Ramsay interferometry experiment with realistic parameters, and the time variation of the relative size of the components is compared to a direct calculation of the autocorrelation function.
Source arXiv, 1108.2119
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