Particle scattering by harmonically trapped quantum gases in an artificial magnetic field

Abstract

In this article, we study the particle scattering that occurs by harmonically trapped quantum gases in an artificial magnetic field with the short-ranged Fermi–Huang interactions among the incident particle and the scatterers. Both elastic and inelastic differential scattering cross-sections are obtained in analogy with the potential scattering. We have shown that the differential scattering cross-sections which depend on finite temperature and the magnetic field strength. Coherent scattering by harmonically trapped Bose and Fermi scatterers in an artificial magnetic field gives rise to a tool for probing their quantum statistical properties. We have shown that the scattered particle intensity can exhibit oscillatory behaviours at zero Kelvin temperature which depends on the strength of the magnetic field and the geometric shapes of the atomic cloud. At the limit of zero magnetic field strength, we have investigated the importance of the shell structure on the cross-section of scattering.