Properties of a Dilute Bose Gas near a Feshbach Resonance

Abstract

In this paper, properties of a homogeneous Bose gas with a Feshbach resonance are studied in the dilute region at zero temperature. The stationary state contains condensations of atoms and molecules. The ratio of the molecule density to the atom density is $\pi n{a}^3$. There are two types of excitations, molecular excitations and atomic excitations. Atomic excitations are gapless, consistent with the traditional theory of a dilute Bose gas. The molecular excitation energy is finite in the long wavelength limit as observed in recent experiments on ${}^{85}$Rb. In addition, the decay process of the condensate is studied. The coefficient of the three-body recombination rate is about 140 times larger than that of a Bose gas without a Feshbach resonance, in reasonably good agreement with the experiment on ${}^{23}$Na.

arXiv comment11 pages, 1 figure, comparison between the calculated three-body recombination rate and the experimental data for Na system has been added

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Cited by in corpus (6)

• BEC Collapse and Dynamical Squeezing of Vacuum Fluctuations
• Influence of lasers propagation delay on the sensitivity of atom interferometers
• Simple Mean-Field Theory for a Zero-Temperature Fermi Gas at a Feshbach Resonance
• Phase diagram of a Bose gas near a wide Feshbach resonance
• Molecular Bose-Einstein condensation in a Bose gas with a wide Feshbach resonance at finite temperatures
• The three-body recombination of a condensed Bose gas near a Feshbach resonance