A single fermion in a Bose Josephson Junction
Quantum Gases
2011-09-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1010.5979,
title = {A single fermion in a Bose Josephson Junction},
author = {Maximilian Rinck and Christoph Bruder},
journal= {arXiv preprint arXiv:1010.5979},
year = {2011}
}