# Josephson Oscillations and Self-Trapping of Superfluid Fermions in a Double-Well Potential

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## Abstract

We investigate the behaviour of a two-component Fermi superfluid in a double-well potential. We numerically solve the time dependent Bogoliubov-de Gennes equations and characterize the regimes of Josephson oscillations and self-trapping for different potential barriers and initial conditions. In the weak link limit the results agree with a two-mode model where the relative population and the phase difference between the two wells obey coupled nonlinear Josephson equations. A more complex dynamics is predicted for large amplitude oscillations and large tunneling.

## Keywords

Josephson oscillation Self-trapping Fermi superfluids Time-dependent BdG## Notes

### Acknowledgments

We thank S. Stringari, L.P. Pitaevskii, A. Recati for fruitful discussions. P.Z is particularly indebted to R.G.Scott, whose computational expertise was of great help at the beginning of this work. Support of ERC, through the QGBE Grant, and of Provincia Autonoma di Trento is acknowledged.

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