Heidelberg 2015 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 44: Quantum Gases: Miscellaneous

Q 44.2: Talk

Wednesday, March 25, 2015, 15:00–15:15, P/H2

Trapped Bose-Einstein Condensates with Strong Disorder — •Antun Balaž¹ and Axel Pelster² — ¹Scientific Computing Laboratory, Institute of Physics Belgrade, University of Belgrade, Serbia — ²Physics Department and Research Center OPTIMAS, Technische Universität Kaiserslautern, Germany

We work out a non-perturbative approach towards the dirty boson problem at zero temperature which is based on a Gaussian approximation for correlation functions of the disorder problem and the condensate wave function solving the Gross-Pitaevskii problem. For the homogeneous case we obtain a set of self-consistency equations for correlation functions which can be solved for general disorder numerically but allows an analytic solution in case of delta-correlated disorder. Afterwards, we apply the Thomas-Fermi approximation and generalize these self-consistency equations for a harmonically trapped Bose-Einstein condensate. With this we obtain results which reproduce for weak disorder the seminal results of a Bogoliubov theory of dirty bosons [1-3] and yield a quantum phase transition to a Bose-glass phase for strong disorder [4].

[1] K. Huang, H.-F. Meng, Phys. Rev. Lett. 69, 644 (1992)

[2] G.M. Falco, A. Pelster, and R. Graham, Phys. Rev. A 75, 063619 (2007)

[3] G.M. Falco, A. Pelster, and R. Graham, Phys. Rev. A 76, 013624 (2007)

[4] P. Navez, A. Pelster, and R. Graham, App. Phys. B 86, 395 (2007)