Fluctuating ground-state occupation number for trapped BEC

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Fluctuating ground-state occupation number for trapped BEC Jürgen Bosse Freie Universität Berlin Panjab University, Chandigarh 3rd March, 2014

Overview Introduction GCE unknowns: N0, dN0, etc. Calculate N0 for trapped bosons within TDL assuming fixed N Calculate corresponding dN0 Plots of N0, f0, and f1 needed for HFA

N=200 N=2000

Summary and Outlook TDL and SCA agree for N>>1 It is essential to consistently determine Tc Restricting to fixed N does not describe the photon BEC experiment correctly. The „grand-canonical“ reservoir needs a more realistic description e.g. the one given by Weitz group. Fixing N will result in small fluctuation corrections in HFA.