Adiabatic Phase Diagram of an Ultracold Atomic Fermi Gas with a Feshbach Resonance

Abstract

We determine the adiabatic phase diagram of a resonantly-coupled system of Fermi atoms and Bose molecules confined in the harmonic trap by using the local density approximation. The adiabatic phase diagram shows the fermionic condensate fraction composed of condensed molecules and Cooper pair atoms. The key idea of our work is conservation of entropy through the adiabatic process, extending the study of Williams et al. [Williams et al., New J. Phys. 6, 123 (2004)] for an ideal gas mixture to include the resonant interaction in a mean-field theory. We also calculate the molecular conversion efficiency as a function of initial temperature. Our work helps to understand recent experiments on the BCS-BEC crossover, in terms of the initial temperature measured before a sweep of the magnetic field.

arXiv comment13 pages, 8 figures. In press, "Journal of the Physical Society of Japan", Vol.76, No.6

References in corpus (22)

• Observation of resonance condensation of fermionic atom pairs
• Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
• Observation of Bose-Einstein Condensation of Molecules
• Experimental Study of the BEC-BCS Crossover Region in Lithium 6
• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Superfluidity and collective modes in a uniform gas of Fermi atoms with a Feshbach resonance
• Production Efficiency of Ultracold Feshbach Molecules in Bosonic and Fermionic Systems
• Achieving a BCS transition in an atomic Fermi gas
• Superfluid transition temperature in a trapped gas of Fermi atoms with a Feshbach resonance
• Condensate Fraction of a Fermi Gas in the BCS-BEC Crossover
• Thermodynamics of Interacting Fermions in Atomic Traps
• Single-particle excitations in a trapped gas of Fermi atoms in the BCS-BEC crossover region
• Crossover temperature of Bose-Einstein condensation in an atomic Fermi gas
• Temperature of a trapped unitary Fermi gas at finite entropy
• Conventional character of the BCS-BEC cross-over in ultra-cold gases of 40K
• Phase diagrams for an ideal gas mixture of fermionic atoms and bosonic molecules
• Single-particle excitations in the BCS-BEC crossover region II: Broad Feshbach resonance
• Understanding the superfluid phase diagram in trapped Fermi gases
• Theory of Feshbach molecule formation in a dilute gas during a magnetic field ramp
• Feshbach-Resonant Interactions in 40K and 6Li Degenerate Fermi Gases
• Atom-molecule equilibration in a degenerate Fermi gas with resonant interactions
• Endpoint thermodynamics of an atomic Fermi gas subject to a Feshbach resonance

Cited by in corpus (5)

• Conversion Efficiencies of Heteronuclear Feshbach Molecules
• Molecular formations in ultracold mixtures of interacting and noninteracting atomic gases
• Adiabatic cooling of a tunable Bose-Fermi mixture in an optical lattice
• Stochastic and equilibrium pictures of the ultracold FFR molecular conversion rate
• Statistical mechanics of a Feshbach coupled Bose-Fermi gas in an optical lattice