Cross-calibration of atomic pressure sensors and deviation from quantum diffractive collision universality for light particles

• URL: http://arxiv.org/abs/2209.02900v2
• Date: Tue, 13 Sep 2022 01:17:52 GMT
• Title: Cross-calibration of atomic pressure sensors and deviation from quantum diffractive collision universality for light particles
• Authors: Pinrui Shen, Erik Frieling, Katherine R. Herperger, Denis Uhland, Riley A. Stewart, Avinash Deshmukh, Roman V. Krems, James L. Booth, and Kirk W. Madison
• Abstract summary: The total room-temperature, velocityd cross section for atom-atom and atom-molecule collisions is well approximated by a universal function, $C_6$. We find a velocity averaged total collision cross section ratio, $R = langle sigma_rmtot, v rangle_rmLi+H$. This work demonstrates how to perform a cross-calibration of sensor atoms to extend and enhance the cold atom based pressure sensor.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The total room-temperature, velocity-averaged cross section for atom-atom and atom-molecule collisions is well approximated by a universal function depending only on the magnitude of the leading order dispersion coefficient, $C_6$. This feature of the total cross section together with the universal function for the energy distribution transferred by glancing angle collisions ($P_{\rm{QDU}6}$) can be used to empirically determine the total collision cross section and realize a self-calibrating, vacuum pressure standard. This was previously validated for Rb+N$_2$ and Rb+Rb collisions. However, the post-collision energy distribution is expected to deviate from $P_{\rm{QDU}6}$ in the limit of small $C_6$ and small reduced mass. Here we observe this deviation experimentally by performing a direct cross-species loss rate comparison between Rb+H$_2$ and Li+H$_2$ and using the \textit{ab initio} value of $\langle \sigma_{\rm{tot}} \, v \rangle_{\rm{Li+H}_2}$. We find a velocity averaged total collision cross section ratio, $R = \langle \sigma_{\rm{tot}} \, v \rangle_{\rm{Li+H}_2} : \langle \sigma_{\rm{tot}} \, v \rangle_{\rm{Rb+H}_2} = 0.83(5)$. Based on an \textit{ab initio} computation of $\langle \sigma_{\rm{tot}} \, v \rangle_{\rm{Li+H}_2} = 3.13(6)\times 10^{-15}$ m$^3$/s, we deduce $\langle \sigma_{\rm{tot}} \, v \rangle_{\rm{Rb+H}_2} = 3.8(2) \times 10^{-15}$ m$^3$/s, in agreement with a Rb+H$_2$ \textit{ab initio} value of $\langle \sigma_{\mathrm{tot}} v \rangle_{\mathrm{Rb+H_2}} = 3.57 \times 10^{-15} \mathrm{m}^3/\mathrm{s}$.By contrast, fitting the Rb+H$_2$ loss rate as a function of trap depth to the universal function we find $\langle \sigma_{\rm{tot}} \, v \rangle_{\rm{Rb+H}_2} = 5.52(9) \times 10^{-15}$ m$^3$/s. Finally, this work demonstrates how to perform a cross-calibration of sensor atoms to extend and enhance the cold atom based pressure sensor.

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