Cavity-mediated collective laser-cooling of a non-interacting atomic gas inside an asymmetric trap to very low temperatures

摘要

In this paper, we identify a many-particle phonon expectation value $\zeta$with the ability to induce collective dynamics in a non-interacting atomic gasinside an optical cavity. We then propose to utilise this expectation value toenhance the laser cooling of many atoms through a cyclic two-stage processwhich consists of cooling and displacement stages. During cooling stages, shortlaser pulses are applied. These use $\zeta$ as a resource and decrease thevibrational energy of the atomic gas by a fixed amount. Subsequent displacementstages use the asymmetry of the trapping potential to replenish themany-particle phonon expectation value $\zeta$. Alternating both stages of thecooling process is shown to transfer the atomic gas to a final temperaturewhich vanishes in the infinitely-many particle limit.