Superfluidity and binary-correlations within clusters of fermions

Abstract

We propose a method for simulating the behaviour of small clusters of particles that explicitly accounts for all mean-field and binary-correlation effects. Our approach leads to a set of variational equations that can be used to study both the dynamics and thermodynamics of these clusters. As an illustration of this method, we explore the BCS-BEC crossover in the simple model of four fermions, interacting with finite-range potentials, in a harmonic potential. We find, in the crossover regime, that the particles prefer to occupy two distinct pair states as opposed to the one assumed by BCS theory.

References in corpus (11)

• Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Pairing and Phase Separation in a Polarized Fermi Gas
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Weakly bound dimers of fermionic atoms
• Heat Capacity of a Strongly-Interacting Fermi Gas
• Measurement of interaction energy near a Feshbach resonance in a 6Li Fermi gas
• Molecular Dynamics for Fermions
• Momentum distribution and condensate fraction of a Fermi gas in the BCS-BEC crossover
• Momentum distribution of a Fermi gas of atoms in the BCS-BEC crossover