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Effects of a single fermion in a Bose Josephson junction

Type of publication Peer-reviewed
Publikationsform Original article (peer-reviewed)
Author Rinck M, Bruder C,
Project Quantum coherence, quantum statistics, and superconductivity in mesoscopic systems
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Original article (peer-reviewed)

Journal PHYSICAL REVIEW A
Volume (Issue) 83(2)
Page(s) 023608 - 023608
Title of proceedings PHYSICAL REVIEW A

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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