Dresden 2009 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 1: Statistical physics I (general)
DY 1.4: Talk
Monday, March 23, 2009, 11:15–11:30, HÜL 386
Ultrafast Converging Path Integral Approach for Rotating Ideal Bose Gases — •Antun Balaž1, Ivana Vidanović1, Aleksandar Bogojević1, and Axel Pelster2,3 — 1Scientific Computing Laboratory, Institute of Physics Belgrade, Serbia — 2Fachbereich Physik, Universität Duisburg-Essen, Germany — 3Institut für Theoretische Physik, Freie Universität Berlin, Germany
Recently, we have developed an efficient recursive approach for analytically calculating the short-time expansion of the propagator to extremely high orders for a general many-body quantum system [1]. Here we apply this technique for numerically studying the thermodynamical properties of a rotating ideal Bose gas of 87Rb atoms in an anharmonic trap [2]. First, the energy spectrum of the system is obtained by diagonalizing the discretized short-time propagator. Then the condensation temperature and the time-of-flight absorption pictures are calculated for varying rotation frequencies. The obtained results improve previous semiclassical calculations [3] and agree well with Path Integral Monte Carlo simulations [4].
[1] A. Balaž, A. Bogojević, I. Vidanović, A. Pelster, arXiv:0806.4774
[2] V. Bretin, S. Stock, Y. Seurin, J. Dalibard, PRL 92, 050403 (2004)
[3] S. Kling, A. Pelster, PRA 76, 023609 (2007)
[4] D. M. Ceperley, Rev. Mod. Phys. 67, 279 (1995)