Hannover 2013 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 56: Poster III
Q 56.50: Poster
Donnerstag, 21. März 2013, 16:00–18:30, Empore Lichthof
Numerical solutions of Gross-Pitaevskii equation for a disordered Bose condensed gas — •Tama Khellil1, Antun Balaž2, and Axel Pelster3 — 1Fachbereich Physik, Freie Universität Berlin, Germany — 2SCL, Institute of Physics Belgrade, University of Belgrade, Serbia — 3Fachbereich Physik, Technische Universität Kaiserslautern, Germany
We present a numerical study of a Bose-condensed gas in a harmonic trapping potential and a Gaussian-distributed disorder potential in one dimension at zero temperature. The underlying Gross-Pitaevskii equation for the condensate wave function represents a nonlinear, partial differential equation and is difficult to solve exactly. Using a computer program [1] that solves the time-independent Gross–Pitaevskii equation in one space dimension in a harmonic trap using the imaginary-time propagation, we are able to obtain its numerical solution for each realization of the disorder potential. Performing disorder ensemble averages we have access to both the condensate density and to the density of disconnected local mini-condensates in the respective minima of the disorder potential [2]. Our study is performed for different values of the disorder strength and the correlation length of the disorder, so that we can study the influence of both of them on the numerical solutions. For small disorder strengths we reproduce the seminal results of Huang and Meng for a Bogoliubov theory of dirty bosons.
[1] D. Vudragović, I. Vidanović, A. Balaž, P. Muruganandam, and S. Adhikari, Comput. Phys. Commun. 183, 2021 (2012)
[2] R. Graham and A. Pelster, Int. J. Bif. Chaos 19, 2745 (2009)