Path integral formulation of the tunneling dynamics of a superfluid Fermi gas in an optical potential
arXiv:cond-mat/0312154 · doi:10.1103/PhysRevA.70.013616
Abstract
To describe the tunneling dynamics of a stack of two-dimensional fermionic superfluids in an optical potential, we derive an effective action functional from a path integral treatment. This effective action leads, in the saddle point approximation, to equations of motion for the density and the phase of the superfluid Fermi gas in each layer. In the strong coupling limit (where bosonic molecules are formed) these equations reduce to a discrete nonlinear Schrodinger equation, where the molecular tunneling amplitude is reduced for large binding energies. In the weak coupling (BCS) regime, we study the evolution of the stacked superfluids and derive an approximate analytical expression for the Josephson oscillation frequency in an external harmonic potential. Both in the weak and intermediate coupling regimes the detection of the Josephson oscillations described by our path integral treatment constitutes experimental evidence for the fermionic superfluid regime.
arXiv comment13 pages + 2 figures
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- Macroscopic Periodic Tunneling of Fermi Atoms in the BCS-BEC Crossover
- Imbalanced Fermi superfluid in a one-dimensional optical potential
- Extracting the condensate density from projection experiments with Fermi gases
- Sound velocity and dimensional crossover in a superfluid Fermi gas in an optical lattice
- Superfluid Fermi gas in a 1D optical lattice
- DC and AC Josephson effects with superfluid Fermi atoms across a Feshbach resonance
- Imbalanced d-wave superfluids in the BCS-BEC crossover regime at finite temperatures
- Three component fermion pairing in two dimensions
- Tunneling of polarized fermions in 3D double wells
- Fermionic superfluid properties in a one-dimensional optical lattice
- Competition between the Fulde-Ferrell-Larkin-Ovchinnikov phase and the BCS phase in the presence of an optical potential
- Critical currents in the BEC/BCS crossover regime
- Tunneling of a few strongly repulsive hard-sphere bosons in an optical lattice with tight external harmonic confinement: A quantum Monte Carlo investigation in continuous space
- Flow and critical velocity of an imbalanced Fermi gas through an optical potential
- Bogoliubov spectrum of a cigar shaped Fermi superfluid in an optical lattice at the BEC-BCS crossover