DC Josephson Effect with Fermi gases in the Bose-Einstein regime

Abstract

We show that the DC Josephson effect with ultracold fermionic gases in the BEC regime of composite molecules can be described by a nonlinear Schrodinger equation (NLSE). By comparing our results with Bogoliubov-de Gennes calculations [Phys. Rev. Lett. 99, 040401 (2007)] we find that our superfluid NLSE, which generalizes the Gross-Pitaevskii equation taking into account the correct equation of state, is reliable in the BEC regime of the BCS-BEC crossover up to the limit of very large (positive) scattering length. We also predict that the Josephson current displays relevant beyond mean-field effects.

9 pages, 6 figures. In the new version added one figure and some paragraphs

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Cited by in corpus (29)

• An ideal Josephson junction in an ultracold two-dimensional Fermi gas
• Spontaneous symmetry breaking of Bose-Fermi mixtures in double-well potentials
• Self-trapping of a Fermi super-fluid in a double-well potential in the BEC-unitarity crossover
• Critical velocity of superfluid flow through single barrier and periodic potentials
• Josephson plasma oscillations and the Gross-Pitaevskii equation: Bogoliubov approach vs two-mode model
• Shock waves in strongly interacting Fermi gas from time-dependent density functional calculations
• Supersonic and subsonic shock waves in the unitary Fermi gas
• Competition between symmetry breaking and onset of collapse in weakly coupled atomic condensates
• Current-Phase Relation of a Bose-Einstein Condensate Flowing Through a Weak Link
• Critical Josephson current in BCS-BEC crossover superfluids
• Josephson junction dynamics in a two-dimensional ultracold Bose gas
• Low-temperature thermodynamics of the unitary Fermi gas: superfluid fraction, first sound and second sound
• Dark solitons dynamics and snake instability in superfluid Fermi gases trapped by an anisotropic harmonic potential
• Josephson oscillations and self-trapping of superfluid fermions in a double-well potential
• Non-linear mixing of Bogoliubov modes in a bosonic Josephson junction
• Surface Effects in the Unitary Fermi Gas
• Viscosity-entropy ratio of the unitary Fermi gas from zero-temperature elementary excitations
• Dynamical properties of the unitary Fermi gas: collective modes and shock waves
• Collective modes in the anisotropic unitary Fermi gas and the inclusion of a backflow term
• Josephson effect as signature of electron-hole superfluidity in bilayers of van der Waals heterostructures
• Spin-asymmetric Josephson effect
• Tunneling of polarized fermions in 3D double wells
• Spin-asymmetric Josephson plasma oscillations
• Dispersive effects in the unitary Fermi gas
• Critical velocity, vortex shedding and drag in a unitary Fermi superfluid
• Relative Phase and Josephson Dynamics between Weakly Coupled Richardson Models
• Correlations and synchronization in a Bose-Fermi mixture
• Tunneling Hamiltonian analysis of DC Josephson currents in a weakly-interacting Bose-Einstein condensate
• Densities probabilities of a Bose-Fermi Mixture in 1D Double well potential