Theory of evaporative cooling with energy-dependent elastic scattering cross section and application to metastable helium

Abstract

The kinetic theory of evaporative cooling developed by Luiten et al. [Phys. Rev. A 53, 381 (1996)] is extended to include the dependence of the elastic scattering cross section on collision energy. We introduce a simple approximation by which the transition range between the low-temperature limit and the unitarity limit is described as well. Applying the modified theory to our measurements on evaporative cooling of metastable helium we find a scattering length |a| = 10(5) nm.

References in corpus (5)

• Bose-Einstein Condensation of Metastable Helium
• Three-body recombination of ultra-cold atoms to a weakly bound $s$ level
• Three-body recombination in Bose gases with large scattering length
• Long-range interactions of metastable helium atoms
• Ionization rates in a Bose-Einstein condensate of metastable Helium

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• A Large Atom Number Metastable Helium Bose-Einstein Condensate
• Getting the elastic scattering length by observing inelastic collisions in ultracold metastable helium atoms
• Frequency shifts of photoassociative spectra of ultracold metastable Helium atoms : a new measurement of the s-wave scattering length
• Star clusters dynamics in a laboratory: electrons in an ultracold plasma
• Numerical modeling of collisional dynamics of Sr in an optical dipole trap
• Prospects for measurement and control of the scattering length of metastable helium using photoassociation techniques
• Thermodynamical approaches to efficient sympathetic cooling in ultracold Fermi-Bose atomic mixtures