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

Author:

Shen PinruiORCID,Frieling ErikORCID,Herperger Katherine R,Uhland Denis,Stewart Riley A,Deshmukh Avinash,Krems Roman V,Booth James LORCID,Madison Kirk WORCID

Abstract

Abstract The room-temperature, velocity-averaged, total cross section for atom–atom and atom–molecule collisions can be approximated using 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 QDU6 (Booth et al 2019 New J. Phys. 21 102001)) 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+N2 and Rb+Rb collisions. However, the post-collision energy distribution is expected to deviate from p QDU6 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 for Rb+H2 and Li+H2 collisions. We measure a velocity averaged total collision cross section ratio of R = σ tot v Li+H 2 : σ tot v Rb+H 2 = 0.83 ( 5 ) . Based on an ab initio computation of σ tot v Li+H 2 = 3.104 × 10 15 m3 s−1, we deduce σ tot v Rb+H 2 = 3.6 ( 2 ) × 10 15 m3 s−1, in agreement with a Rb+H2 ab initio value of σ t o t v R b + H 2 = 3.574 × 10 15 m 3 s 1 . By contrast, fitting the Rb+H2 loss rate as a function of trap depth to the universal function we find σ tot v Rb+H 2 = 5.52 ( 9 ) × 10 15 m3 s−1. This work demonstrates the utility of sensor-atom cross-calibration experiments to check the validity of theoretical computations to extend and enhance the performance of cold atom based pressure sensors.

Funder

Canadian Foundation for Innovation

Quantum Electronic Science & Technology (QuEST) Award

Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada

Deutsche Forschungsgemeinschaft

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Reference36 articles.

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