Hannover 2016 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 38: Ultra-cold atoms, ions and BEC II (with A)

Q 38.5: Talk

Wednesday, March 2, 2016, 15:30–15:45, f303

Transport through Bose-Einstein condensates with vortices — •Lukas Schwarz, Holger Cartarius, and Günter Wunner — 1. Institut für Theoretische Physik, Universität Stuttgart, 70550 Stuttgart

Vortex solutions of the nonlinear Schrödinger equation, which describes Bose-Einstein condensates in a mean-field approximation as well as several other physical systems such as optical lattices, have attracted wide interest in the last years. In these systems complex potentials can be used to effectively describe gain and loss effects. If this gain and loss is spatially separated but balanced, the underlying Hamiltonian is PT symmetric. We investigate Bose-Einstein condensates in such a non-Hermitian PT symmetric external potential with the goal to find vortices describing a net transport through the condensate. Due to the PT symmetry truly stationary solutions with real eigenvalues exist in spite of a coherent and balanced in- and outcoupling of atoms. We present vortex solutions of a two-dimensional Bose-Einstein condensate trapped in different potentials with varying in- and outcoupling.