Hannover 2013 – scientific programme

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A: Fachverband Atomphysik

A 35: Ultra-cold atoms, ions and BEC VII (with Q)

A 35.6: Talk

Thursday, March 21, 2013, 15:15–15:30, B 305

Noise correlations of two-dimensional Bose gases — •Vijay Pal Singh and Ludwig Mathey — Zentrum fuer Optische Quantentechnologien and Institut fuer Laserphysik, Universitaet Hamburg, D-22761 Hamburg, Germany

We analyze the density-density correlations of the expanding clouds of weakly interacting two-dimensional (2D) Bose gases below and above the Berezinskii-Kosterlitz-Thouless (BKT) transition. Such a system has two thermal phases in equilibrium, defined through the long-range order of the two-point correlation function. In the course of a time-of-flight expansion, both thermal and quantum fluctuations present in the trapped system transform into density fluctuations. The spectrum of density distributions shows an oscillatory shape controlled only by the scaling exponent of the quasi-condensed phase (below the transition) and by the correlation length (above the transition). This exponent can be extracted by analyzing the evolution of the spectrum of density distributions as a function of the expansion time. The positions of the spectral peaks show a scaling behavior with the expansion time. How these features can be extracted in experiment will be discussed as well.