Direct measurement of the dwell time of spin polarized Rb atoms on coated Pyrex glass surfaces using light shift

We present a simple method for directly measuring the average dwell time of spin polarized Rb atoms on coated Pyrex glass surfaces. The method relies on the light shift of the Zeeman resonances of spin polarized Rb atoms pumped and probed by evanescent waves, and does not depend on the microscopic details of surface interactions. We use a cell whose length is adjustable between 70 and $500\,\mu m$. The inverse of the difference in peak frequencies for $\sigma^+$ and $\sigma^-$ pump beams depends linearly on the cell length, from which we obtain the average dwell time $\tau_s$. For a Pyrex glass cell coated with octadecyltrichlorosilane (OTS) we find that $\tau_s=0.53\pm 0.03\,\mu s$ at a cell wall temperature of 103 $^\circ$C. The temperature dependence of $\tau_s$ is fitted to $\tau_s=\bar \tau_0 \exp(E_a/kT)$, yielding a pre-exponential factor $\bar\tau_0=(3.1\pm 0.1)\times 10^{-9}\,\rm s$ and an activation energy $E_a=0.18\pm 0.3\,\rm eV$.