Hannover 2016 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 29: Quantum Gases: Bosons III

Q 29.3: Vortrag

Mittwoch, 2. März 2016, 11:45–12:00, e001

Dirty Bosons in a Quasi-One-Dimensional Harmonic Trap — •Tama Khellil¹, Antun Balaž², and Axel Pelster³ — ¹Physics Department, Freie Universität Berlin, Germany — ²Scientific Computing Laboratory, Institute of Physics Belgrade, University of Belgrade, Serbia — ³Physics Department and Research Center OPTIMAS, Technische Universität Kaiserslautern, Germany

The emergence of a Bose-glass phase in a quasi one-dimensional Bose-Einstein-condensed gas in a harmonic trapping potential with an additional delta-correlated disorder potential at zero temperature is studied using two approaches [1]. At first, the corresponding time-independent Gross-Pitaevskii equation is numerically solved for the condensate wave function, and disorder ensemble averages are evaluated. With this we analyze quantitatively the emergence of mini-condensates in the local minima of the random potential, which occurs for weak disorder preferentially at the border of the condensate, while for intermediate disorder strength this happens in the trap center. Second, in view of a more detailed physical understanding of this phenomenon, we extend a quite recent non-perturbative approach towards the weakly interacting dirty boson problem, which relies on the Hartree-Fock theory and is worked out on the basis of the replica method, from the homogeneous case to a harmonic confinement [2].

[1] T. Khellil, A. Balaz, and A. Pelster, arXiv:1510.04985.

[2] T. Khellil and A. Pelster, arXiv:1511.08882.