English

Conservation laws and laser cooling of atoms

Atomic Physics 2015-09-14 v3

Abstract

The straightforward application of energy and linear momentum conservation to the absorption/emission of photons by atoms allows to establish the essential features of laser cooling of two levels atoms at low laser intensities. The lowest attainable average kinetic energy of the atoms depends on the ratio Γ/ER\Gamma/E_R between the natural linewidth and the recoil energy and tends to ERE_R as Γ\Gamma tends to zero. This treatment, as the quantum mechanical ones, is valid for any value of the ratio Γ/ER\Gamma/E_R and contains the semiclassical theory of laser cooling as the limiting case in which ERΓE_R\ll \Gamma.

Keywords

Cite

@article{arxiv.1502.00294,
  title  = {Conservation laws and laser cooling of atoms},
  author = {Giuseppe Giuliani},
  journal= {arXiv preprint arXiv:1502.00294},
  year   = {2015}
}

Comments

The dimensionless parameter $B_D$ have been redefinied as $\Gamma/\Delta E_M$ (instead of $\Gamma/2\Delta E_M$) in order to avoid a factor of two when compared with a similar parameter used in literature. Consequently, some equations have been rewritten and some figures modified accordingly. Of Course, the physics does not change. Some minor changes aimed at improving the clarity of the text