Effects of a single fermion in a Bose Josephson junction

M. Rinck and C. Bruder
Phys. Rev. A 83, 023608 – Published 14 February 2011

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 line shape of the resonance using degenerate Brillouin-Wigner theory. We finally compute the time-dependent dynamics of the mixture. Using the fermionic tunnel resonances as a 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.

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  • Received 28 October 2010

DOI:https://doi.org/10.1103/PhysRevA.83.023608

©2011 American Physical Society

Authors & Affiliations

M. Rinck* and C. Bruder

  • Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland

  • *Maximilian.Rinck@unibas.ch

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Issue

Vol. 83, Iss. 2 — February 2011

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