Berlin 2014 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 32: Poster: Quantum gases, ultracold atoms and molecules
Q 32.55: Poster
Wednesday, March 19, 2014, 16:30–18:30, Spree-Palais
Bose-Einstein Condensation with Strong Disorder – Replica Method — •Tama Khellil1, Antun Balaž2, and Axel Pelster3 — 1Department of Physics, Freie Universität Berlin, Germany — 2Scientific Computing Laboratory, Institute of Physics Belgrade, University of Belgrade, Serbia — 3Fachbereich Physik und Forschungszentrum OPTIMAS, Technische Universität Kaiserslautern, Germany
A recent non-perturbative approach towards the dirty boson problem relies on applying the replica method [1]. Here we extend this Hartree-Fock theory for a weakly interacting Bose-gas in a quenched delta-correlated disorder potential from the homogeneous case to a harmonic confinement within the Thomas-Fermi approximation. In this way we obtain and solve coupled self-consistency equations which involve the particle and the condensate density as well as the density of fragmented local Bose-Einstein condensates, which emerge in the respective minima of the random potential landscape. Whereas for weak disorder the results of Huang and Meng from a Bogoliubov theory [2,3] are reproduced only qualitatively, we yield for strong disorder a quantum phase transition to a Bose-glass phase.
[1] R. Graham and A. Pelster, I. J. Bif. Chaos 19, 2745 (2009)
[2] K. Huang, H.-F. Meng, Phys. Rev. Lett. 69, 644 (1992)
[3] G.M. Falco, A. Pelster, and R. Graham, Phys. Rev. A 75, 063619 (2007)