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Experiments with Supersonic Beams as a Source of Cold Atoms

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Table <strong>of</strong> Contents<br />

Acknowledgments v<br />

Abstract ix<br />

List <strong>of</strong> Tables xiv<br />

List <strong>of</strong> Figures xv<br />

Chapter 1. Introduction 1<br />

1.1 Cooling an Effusive Beam . . . . . . . . . . . . . . . . . . . . . . . . 2<br />

1.1.1 L<strong>as</strong>er Cooling . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2<br />

1.1.2 Buffer-G<strong>as</strong> Cooling . . . . . . . . . . . . . . . . . . . . . . . . . 3<br />

1.2 Methods <strong>of</strong> Controlling <strong>Supersonic</strong> <strong>Beams</strong> . . . . . . . . . . . . . . . . 4<br />

1.3 Dissertation Outline . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5<br />

Chapter 2. An Overview <strong>of</strong> <strong>Supersonic</strong> <strong>Beams</strong> 7<br />

2.1 Thermodynamics <strong>of</strong> Ideal G<strong>as</strong>es . . . . . . . . . . . . . . . . . . . . . 8<br />

2.1.1 Steady State G<strong>as</strong> Flow in 1D . . . . . . . . . . . . . . . . . . . 9<br />

2.1.2 Mach Number and <strong>Supersonic</strong> <strong>Beams</strong> . . . . . . . . . . . . . . 11<br />

2.1.3 <strong>Supersonic</strong> Beam Velocities . . . . . . . . . . . . . . . . . . . . 12<br />

2.2 The <strong>Supersonic</strong> Beam <strong>as</strong> a Bright General <strong>Source</strong> <strong>of</strong> <strong>Cold</strong> <strong>Atoms</strong> and<br />

Molecules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13<br />

2.3 The Even-Lavie Nozzle for Generating Pulsed <strong>Beams</strong> . . . . . . . . . 16<br />

Chapter 3. Slowing <strong>Supersonic</strong> <strong>Beams</strong> via Specular Reflection: The<br />

Atomic Paddle 20<br />

3.1 Using Helium for Atom Optics <strong>Experiments</strong> . . . . . . . . . . . . . . 22<br />

3.2 Reflecting <strong>Atoms</strong> from Surfaces: Atomic Mirrors . . . . . . . . . . . . 23<br />

3.2.1 Crystal Choice: Si(111) . . . . . . . . . . . . . . . . . . . . . . 25<br />

3.2.2 Crystal Preparation and Wet Etching . . . . . . . . . . . . . . 26<br />

3.2.3 Crystal Characterization . . . . . . . . . . . . . . . . . . . . . . 28<br />

3.3 The Experimental Apparatus . . . . . . . . . . . . . . . . . . . . . . . 28<br />

3.3.1 The Vacuum System . . . . . . . . . . . . . . . . . . . . . . . . 30<br />

3.3.2 The Rotor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34<br />

xi

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