Dresden 2011 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 19: Quantum Gases: Miscellaneous

Q 19.4: Talk

Tuesday, March 15, 2011, 11:30–11:45, HÜL 386

A single fermion in a Bose Josephson Junction — •Maximilian Rinck and Christoph Bruder — Deptartement Physik der Universität Basel, Klingelbergstr. 82, 4056 Basel, Schweiz

We consider the tunneling properties of a single fermionic impurity immersed in a Bose--Einstein condensate in a double-well potential. For strong boson--fermion interaction, we show the existence of a tunnel resonance where a large number of bosons and the fermion tunnel simultaneously. We give analytical expressions for the lineshape of the resonance using degenerate Brillouin--Wigner theory. We finally compute the time-dependent dynamics of the mixture. Using the fermionic tunnel resonances as beam splitter for wave-functions, we construct a Mach--Zehnder interferometer that allows complete population transfer from one well to the other by tilting the double-well potential and only taking into account the fermion's tunnel properties.