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Study of Collision Cross Section of Ultra-Cold Rubidium using a Magneto-Optic and pure Magnetic trap

David E. Fagnan

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

This thesis discusses a new technique for measuring collision cross sections, using a magnetooptical trap (MOT) or magnetic trap as well as theoretical predictions for the resulting measurements based on scattering theory. The initial discussion focuses on a theoretical overview of the principles involved in laser cooling and trapping, magnetic trapping, and scattering theory. Following this, a detailed overview of the experimental instruments and methods describing the vacuum system, laser light, magnetic coils, imaging and control systems will be presented. In addition to an experimental overview, the methods and mechanical formulation involved in predicting cross sections and loss rates based on scattering theory are discussed. Finally, an overview of both experimental and theoretical results including cross sections and loss rates for the case of trapped 87Rb and background argon or helium gas will be given. The results gathered in this thesis show a strong dependence of elastic collision cross section on trap depth, which indicates that the majority of elastic collisions between ultra-cold rubidium and room temperature argon impart energy below 1K. These results suggest that the magnetic trap may be a better tool for measuring total elastic collision cross sections.

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This thesis discusses a new technique for measuring collision cross sections, using a magnetooptical trap (MOT) or magnetic trap as well as theoretical predictions for the resulting measurements based on scattering theory. The initial discussion focuses on a theoretical overview of the principles involved in laser cooling and trapping, magnetic trapping, and scattering theory. Following this, a detailed overview of the experimental instruments and methods describing the vacuum system, laser light, magnetic coils, imaging and control systems will be presented. In addition to an experimental overview, the methods and mechanical formulation involved in predicting cross sections and loss rates based on scattering theory are discussed. Finally, an overview of both experimental and theoretical results including cross sections and loss rates for the case of trapped 87Rb and background argon or helium gas will be given. The results gathered in this thesis show a strong dependence of elastic collision cross section on trap depth, which indicates that the majority of elastic collisions between ultra-cold rubidium and room temperature argon impart energy below 1K. These results suggest that the magnetic trap may be a better tool for measuring total elastic collision cross sections.
The implementation of a technique to measure total collision cross sections using laser-cooled rubidium atoms along with the introduction of room-temperature background gases, confined in both magnetooptic and magnetic traps, is proposed. Atom loss from the trap and total collision cross section can be inferred from the knowledge of the density of background gases. The measured cross sections from the magneto-optic and magnetic traps are represented, compared, and found to be significantly different. The measurements using this technique have a very small error in the range of approximately 2%-7%.
The implementation of a technique to measure total collision cross sections using laser-cooled rubidium atoms along with the introduction of room-temperature background gases, confined in both magnetooptic and magnetic traps, is proposed. Atom loss from the trap and total collision cross section can be inferred from the knowledge of the density of background gases. The measured cross sections from the magneto-optic and magnetic traps are represented, compared, and found to be significantly different. The measurements using this technique have a very small error in the range of approximately 2%-7%.
We present the measurements and calculations of the absolute total collision cross sections for a room-temperature gas of helium using 87 Rb atoms confined in either a magneto-optic or a magnetic quadrupole trap. The loss rates from the magneto-optic trap and the pure magnetic trap are compared and show significant differences. The collision cross sections as a function of trap depth for helium gas are obtained. These findings are significant for extracting the information about the different cross sections when the trap depth is changed.
This thesis describes an investigation and application of the loss of laser cooled atoms from a trap induced by background collisions. The loss rate constant depends on the density of background gas and the velocity averaged collisional loss cross section due to collisions. The velocity averaged collisional loss cross section can be calculated and its dependence on trap depth was verified using a magneto-optical trap. This verification involved measurements of the loss rate constant for a quadrupole magnetic and a magneto-optical trap and measurement of the density of Ar background gas using a residual gas analyzer. The second part of the thesis focuses on an application of these measurements of the loss rate constant to measure the pressure of the background gas. The experimental progress to date on the atom pressure sensor is provided.
We present measurements and calculations of the trap loss rate for laser-cooled 87Rb^{87}\text{R}\text{b}87Rb atoms confined in either a magneto-optic trap (MOT) or a magnetic quadrupole trap when exposed to a room-temperature background gas of Ar. We study the loss rate as a function of trap depth and find that copious glancing elastic collisions, which occur in the so-called quantum diffractive regime and impart very little energy to the trapped atoms, result in significant differences in the loss rate for the MOT compared to a pure magnetic trap due solely to the difference in potential depth. This finding highlights the importance of knowing the trap depth when attempting to infer the total collision cross section from measurements of trap loss rates. Moreover, this variation in trap loss rate with trap depth can be used to extract information about the differential cross section.
This thesis describes an experiment to produce the first laser cooled mixtures of atoms and polar molecules in magneto-optical and magnetic quadrupole traps. Inelastic collision processes between CaF molecules and Rb atoms are studied in both trapping arrangements. When molecules occupy the first rotationally excited state it is found that loss from either trap occurs at near the universal rate due to collisions with co-trapped atoms. When the molecular sample is transferred to the ground rotational state the loss rate is suppressed by at least an order of magnitude. The experimental results are compared to a quantum scattering model based on quantum defect theory and the results seem to be encouraging for observing a high ratio of elastic to inelastic collision rates in this system. In addition, improvements to the experimental apparatus are presented which led to the first measurements of the elastic cross-section for collisions between CaF and Rb. Although at the currently attainable number densities no thermalization is observed, an upper bound on the value of the cross section is placed.