Heidelberg 2015 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 15: Poster: Quantum Optics and Photonics I

Q 15.42: Poster

Monday, March 23, 2015, 17:00–19:00, C/Foyer

Analytical and Numerical Study of Bose-Einstein Condensate with Localized Impurity — •Javed Akram¹ and Axel Pelster² — ¹Physics Department, Freie Universität Berlin Germany — ²Physics Department and Research Center OPTIMAS, Technische Universität Kaiserslautern Germany

Motivated by the recent experimental work of Refs. [1, 2], we investigate a localized ¹³³Cs impurity in the center of a trapped ⁸⁷Rb Bose-Einstein condensate. Within a zero-temperature Gross-Pitaevskii mean-field description we provide a one-dimensional physically intuitive model, which we solve by both a time-independent variational approach and numerical calculations. With this we predict at first equilibrium results for the emerging condensate wave function which reveals an impurity-induced dip or bump in case of a repulsive or an attractive Rb-Cs interaction strength. Afterwards, we show that the impurity-induced dip or bump in the condensate wave function remains even present during a time-of-flight (TOF) expansion after having switched off the harmonic confinement. All these results are useful for extracting the Rb-Cs interaction strength from experimental TOF expansion data.

[1] A.D. Lercher, T. Takekoshi, M. Debatin, B. Schuster, R. Rameshan, F. Ferlaino, R. Grimm, and H.-C. Nägerl, Euro. Phys. J. D 65, 3 (2011).

[2] N. Spethmann, F. Kindermann, S. John, C. Weber, D. Meschede, and A. Widera, Phys. Rev. Lett. 109, 235301 (2012).