Bogoliubov theory of Feshbach molecules in the BEC-BCS crossover
M. W. J. Romans, H. T. C. Stoof
TL;DR
This paper develops a Bogoliubov theoretical framework to describe Feshbach molecule condensation in the BEC-BCS crossover, accurately capturing two-body and many-body effects near broad Feshbach resonances, with validation against experiments.
Contribution
It introduces a Bogoliubov theory that includes Gaussian fluctuations to model the BEC-BCS crossover in Feshbach-resonant Fermi gases, bridging two-body and many-body physics.
Findings
Good agreement with experiments for broad Li-6 Feshbach resonance
The theory accurately captures the crossover physics near broad resonances
Discussion of the crossover behavior for narrower Feshbach resonances
Abstract
We present the Bogoliubov theory for the Bose-Einstein condensation of Feshbach molecules in a balanced Fermi mixture. Because the Bogoliubov theory includes (Gaussian) fluctuations, we can in this manner accurately incorporate both the two-body and many-body aspects of the BEC-BCS crossover that occurs near a Feshbach resonance. We apply the theory in particular to the very broad Feshbach resonance in atomic Li-6 at a magnetic field of B_0 = 834 G and find good agreement with experiments in that case. The BEC-BCS crossover for more narrow Feshbach resonances is also discussed.
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