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Hamburg 2009 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 17: Quantengase: Bosonen Dynamik / Disorder

Q 17.4: Talk

Tuesday, March 3, 2009, 11:15–11:30, VMP 6 HS-A

Comparison of stochastic theories for the dynamics of Bose gasesStuart Cockburn1, •Carsten Henkel2, Antonio Negretti3, and Nikolaos Proukakis11School of Mathematics and Statistics, Newcastle University, United Kingdom — 2Institut für Physik und Astronomie, Universität Potsdam, Germany — 3Institut für Quanten-Informationsverarbeitung, Universität Ulm, Germany

Theoretical modelling of ultracold Bose gases at finite temperature is based on a variety of different techniques, and the precise relation between these approaches is not yet established [1]. In this work, we compare two numerical simulation schemes that combine propagation according to the Gross-Pitaevskii equation with different initial states: the number-conserving Bogoliubov method [2] and the stochastic Gross-Pitaevskii equation [3,4]. In the latter method, the state is prepared by coupling a heat bath to the atomic quantum field. We compare the initial data, looking at diagnostics such as condensate statistics. Dynamical observables after releasing the initial state at different temperatures are analyzed: we focus on the cases that the heat bath is removed [5] or not.
[1] N.P. Proukakis and B. Jackson, J. Phys. B 41, 203002 (2008).
[2] Y. Castin and R. Dum, Phys. Rev. A 57, 3008 (1998); A. Sinatra, C. Lobo and Y. Castin, J. Phys. B 35, 3599 (2002).
[3] H.T.C. Stoof, J. Low Temp. Phys. 114, 11 (1999).
[4] C.W. Gardiner and M.J. Davis, J. Phys. B 36, 4731 (2003).
[5] N.P. Proukakis, J. Schmiedmayer and H.T.C. Stoof, Phys. Rev. A 73, 053603 (2006).

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