Condensate Fraction of a Two-Dimensional Attractive Fermi Gas

Abstract

We investigate the Bose-Einstein condensation of fermionic pairs in a two-dimensional uniform two-component Fermi superfluid obtaining an explicit formula for the condensate density as a function of the chemical potential and the energy gap. By using the mean-field extended BCS theory, we analyze, as a function of the bound-state energy, the off-diagonal long-range order in the crossover from the Bardeen-Cooper-Schrieffer (BCS) state of weakly-bound Cooper pairs to the Bose-Einstein Condensate (BEC) of strongly-bound molecular dimers.

4 pages, 2 figures, accepted for publication in Phys. Rev. A

References in corpus (8)

• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Collective excitations of a degenerate gas at the BEC-BCS crossover
• Precision Measurements of Collective Oscillations in the BEC-BCS Crossover
• Collective modes and ballistic expansion of a Fermi gas in the BCS-BEC crossover
• Effective-range description of a Bose gas under strong one- or two-dimensional confinement
• Expansion of a Fermi Cloud in the BCS-BEC Crossover
• Mixing-demixing transition and collapse of a vortex state in a quasi-two-dimensional boson-fermion mixture
• Mean-Field vs Monte-Carlo equation of state for the expansion of a Fermi superfluid in the BCS-BEC crossover

Cited by in corpus (19)

• Crossover from 2D to 3D in a weakly interacting Fermi gas
• Superfluid Bose-Fermi mixture from weak-coupling to unitarity
• DC Josephson Effect with Fermi gases in the Bose-Einstein regime
• Macroscopic Periodic Tunneling of Fermi Atoms in the BCS-BEC Crossover
• Effective Nonlinear Schrödinger Equations for Cigar-Shaped and Disk-Shaped Fermi Superfluids at Unitarity
• Hydrodynamics of Bose and Fermi superfluids at zero temperature: the superfluid nonlinear Schrodinger equation
• Superfluid Fermi-Fermi mixture: phase diagram, stability, and soliton formation
• Tuning Rashba and Dresselhaus spin-orbit couplings: Effects on singlet and triplet condensation with Fermi atoms
• DC and AC Josephson effects with superfluid Fermi atoms across a Feshbach resonance
• Effective-range dependence of two-dimensional Fermi gases
• Precision Many-Body Study of the Berezinskii-Kosterlitz-Thouless Transition and Temperature-Dependent Properties in the Two-Dimensional Fermi Gas
• Condensate formation with three-component ultracold fermions
• Pair condensation in the BCS-BEC crossover of ultracold atoms loaded onto a 2D square lattice
• Josephson effect with superfluid fermions in the two-dimensional BCS-BEC crossover
• Density correlation functions and the spatial structure of the two-dimensional BEC-BCS crossover
• From Narrow to Broad Feshbach Resonances: Condensate Fraction of Cooper Pairs and Preformed Molecules
• Pair condensation of polarized fermions in the BCS-BEC crossover
• Hybridization of the amplitude mode in a confined fermionic superfluid
• When does a Fermi puddle become a Fermi sea? Emergence of pairing in two-dimensional trapped mesoscopic Fermi gases