Self-trapping of a Fermi super-fluid in a double-well potential in the BEC-unitarity crossover

Abstract

We derive a generalized Gross-Pitaevskii density-functional equation appropriate to study the Bose-Einstein condensate (BEC) of dimers formed of singlet spin-half Fermi pairs in the BEC-unitarity crossover while the dimer-dimer scattering length $a$ changes from 0 to $\infty$. Using an effective one-dimensional form of this equation, we study the phenomenon of dynamical self-trapping of a cigar-shaped Fermi super-fluid in the entire BEC-unitarity crossover in a double-well potential. A simple two-mode model is constructed to provide analytical insights. We also discuss the consequence of our study on the self-trapping of an atomic BEC in a double-well potential.

10 pages, 9 figures

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Cited by in corpus (20)

• C programs for solving the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
• Spontaneous symmetry breaking of Bose-Fermi mixtures in double-well potentials
• Subwavelength-width optical tunnel junctions for ultracold atoms
• Matter-wave solutions in the Bose-Einstein condensates with the harmonic and Gaussian potentials
• Josephson plasma oscillations and the Gross-Pitaevskii equation: Bogoliubov approach vs two-mode model
• Localization of a dipolar Bose-Einstein condensate in a bichromatic optical lattice
• Critical Josephson current in BCS-BEC crossover superfluids
• Josephson oscillations and self-trapping of superfluid fermions in a double-well potential
• Non-linear mixing of Bogoliubov modes in a bosonic Josephson junction
• Self trapping of a dipolar Bose-Einstein condensate in a double well
• Self-trapping of a binary Bose-Einstein condensate induced by interspecies interaction
• Two-dimensional composite solitons in a spin-orbit-coupled Fermi gas in free space
• Soliton dynamics of a high-density Bose-Einstein condensate subject to a time varying anharmonic trap
• Interaction-modulated tunneling dynamics in a mixture of Bose-Einstein condensates
• Tunneling of polarized fermions in 3D double wells
• Two-component polariton condensate in optical microcavity
• Dynamics of shock waves in a superfluid unitary Fermi gas
• Dipolar Bose-Einstein condensate for large scattering length
• Stationary states and quantum quench dynamics of Bose-Einstein condensates in a double-well potential
• Square wave oscillation of soliton in double-well potential trapped BEC