Josephson oscillations and self-trapping of superfluid fermions in a double-well potential

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.

10 pages, 13 figures

References in corpus (9)

• Theory of ultracold Fermi gases
• Dynamics of a tunable superfluid junction
• The Josephson effect throughout the BCS-BEC crossover
• DC Josephson Effect with Fermi gases in the Bose-Einstein regime
• Traveling Dark Solitons in Superfluid Fermi Gases
• Macroscopic Periodic Tunneling of Fermi Atoms in the BCS-BEC Crossover
• Critical velocity of superfluid flow through single barrier and periodic potentials
• Bragg scattering of Cooper pairs in an ultra-cold Fermi gas
• DC and AC Josephson effects with superfluid Fermi atoms across a Feshbach resonance

Cited by in corpus (16)

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• Connecting dissipation and phase slips in a Josephson junction between fermionic superfluids
• Strongly correlated superfluid order parameters from dc Josephson supercurrents
• Josephson plasma oscillations and the Gross-Pitaevskii equation: Bogoliubov approach vs two-mode model
• Solitons and Josephson-type oscillations in Bose-Einstein condensates with spin-orbit coupling and time-varying Raman frequency
• Critical Josephson current in BCS-BEC crossover superfluids
• Josephson junction dynamics in a two-dimensional ultracold Bose gas
• Non-linear mixing of Bogoliubov modes in a bosonic Josephson junction
• Dissipation Mechanisms in Fermionic Josephson Junction
• Effective three-body interactions for bosons in a double-well confinement
• Tunneling dynamics of bosonic Josephson junctions assisted by a cavity field
• Josephson effect at finite temperature along the BCS-BEC crossover
• Dissipation in a Finite Temperature Atomic Josephson Junction
• Spin-asymmetric Josephson plasma oscillations
• Quenched dynamics and pattern formation in clean and disordered Bogoliubov-de Gennes superconductors
• Coherent and dissipative transport in a Josephson junction between fermionic superfluids of ${}^6$Li atoms