Düsseldorf 2007 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 5: Quantengase (Bose-Einstein-Kondensation)

Q 5.7: Talk

Monday, March 19, 2007, 15:45–16:00, 6J

The many-particle mean-field correspondence for a BEC in quantum phase space — •Friederike Trimborn, Dirk Witthaut, and Hans Jürgen Korsch — FB Physik, TU Kaiserslautern, 67663 Kaiserslautern

In many cases the dynamics of a BEC is well described by a single macroscopic wave function following the Gross-Pitaevskii equation (GPE). However, the GPE takes into account only expectation values and neglects quantum fluctuations which are especially important for quantum phase transitions as the superfluid to Mott insulator transition which is therefore considered not to be explicable within mean-field theory. We will present a new approach representing many-particle quantum states by a classical phase space ensemble following a generalized GPE. This method provides an excellent tool to analyze the mean-field -- many particle correspondence. Several examples will be given (e.g. the superfluid to Mott insulator transition).