Laser Cooling and Trapping of Neutral Calcium Atoms
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Laser Cooling and Trapping of Neutral Calcium Atoms Ian Norris A thesis presented in partial fulfillment of the requirements for the degree of Doctor of Philosophy Department of Physics University of Strathclyde August 2009 This thesis is the result of the author's original research. It has been composed by the author and has not been previously submitted for examination which has lead to the award of a degree. The copyright of this thesis belongs to the author under the terms of the United Kingdom Copyright Acts as qualified by University of Strathclyde Reg- ulation 3.50. Due acknowledgement must always be made of the use of any material contained in, or derived from, this thesis. Signed: Date: Laser Cooling and Trapping of Neutral Calcium Atoms Ian Norris Abstract This thesis presents details on the design and construction of a compact magneto- optical trap (MOT) for neutral calcium atoms. All of the apparatus required to successfully cool and trap ∼106 40Ca atoms to a temperature of ∼3 mK are described in detail. A new technique has been developed for obtaining dispersive saturated ab- sorption signal using a hollow-cathode lamp. The technique is sensitive enough to detect signals produced by isotopes of calcium with abundances of less than 0.2 %. A compact Zeeman slower has been used to reduce the velocity of a thermal beam of calcium atoms to around 60 m/s, which are then deflected into a MOT using resonant light. A discussion on the characterisation and optimisation of the Zeeman slower and deflection stage is also given. The number of atoms trapped in the MOT has been shown to increase by a factor of ∼4 when a repumping laser at 672 nm is used to excite atoms from 1 the D1 state back into the main cooling cycle. As this transition is excited the lifetime of the MOT increases, with lifetimes up to 50 ms having been measured. These measurements are compared with a rate equation model and were found to be in agreement. A 1530 nm diode laser has also been used in conjunction with 3 the 672 nm laser, to repump atoms from the metastable P2 state back into the cooling cycle, increasing the trapped atom number by a further 70 %. Acknowledgements The process of doing an experimental physics PhD has been one of the most re- warding experiences of my life. Learning the physics has been great, but working with fantastic people has made it even better. I consider myself extremely lucky to have had Professor Erling Riis as my PhD supervisor, he is a true master of experimental physics. His crystal clear explanations of physical principles has allowed me to grasp difficult concepts with relative ease. Not only was his guidance critical to the success of this study, but his company has made it a very enjoyable experience. Erling, thank you for teaching me all that you have done, feeding back on this thesis and for putting up with me! A huge thank you goes to Dr Aidan Arnold for his encouragement and advice over the past three years. Aidan's input throughout the whole PhD has been invaluable to my development and I consider myself lucky to have had him also supervise my studies. Cheers Aidan! Thanks to the other academics of the Photonics group; Thorsten Ackemann, Nigel Langford and the group founder Professor Allister Ferguson for help and encouragement over the years. Dr. Umakanth Dammalapati joined the calcium experiment in April 2007 and brought with him a wealth of experience from his previous experiment, which in- volved laser cooling of barium. I have thoroughly enjoyed working with Umakanth and learned large amount from his practical expertise. Thanks to Luke Maguire and Mateusz Borkowski who also made major con- ii tributions to the calcium experiment and were excellent company during their time in Glasgow. Much of the apparatus used in the experiment was made from original com- ponents created by the Photonics workshop. Many thanks to Bob, Ewan, Paul and Lisa for all of their help and hard work, and for some really good laughs. The other students and post-docs who co-inhabited the Photonics group office made a great environment for working in. The three years would not have been the same without Wei, Fiona, Matt, Kenneth, Stef, Neal, Yann, Nick, Kanu, Simon and Alessio. With their practical jokes and good-fun nature Mateusz Zawadzki and Kyle Gardner made the office a fun and very exciting place to work and I'm lucky to have started my PhD at the same time as these two good friends. I am very grateful to Paul ‘Griff' Griffin for his constant encouragement and for being a good friend. I'm disappointed that our time in the group did not overlap more. Craig `The Craigy-Boy' Hamilton, we've had some awesome nights out, espe- cially in the early days at TFI! Cheers for being a good buddy throughout this process. Someone else on the PhD road, doing work in a biology orientated version of the Photonics group, is my wee brother Greg. Not only is his friendship one of the most valued things in my life, but his advice is always the best. Thanks to Greg for all of his support and encouragement over the duration of the PhD, as well as the past 23 years. You're some man for reading this as well! My Granny & Granda and Nana & Papa have always been major influences on shaping me as a person. All of the love and support that they have given me over the past four years, as well as all the previous years, has kept me focused and on track. Thank you so much for everything. Now for my Mum and Dad. I'm probably a bit old to still be at home, but I've not just been living with my parents, I've been staying with my greatest friends. Their guidance is always the best and their support is always rock-solid, for this I am truly grateful. You guys mean everything to me and I want to say thanks for being there every single time. This book is for you guys. On the 31st of March 2001 I became the luckiest guy in the world. That was the night I met ma Wee Yin. Everyday I still can't believe just how lucky I am to have such a beautiful, caring and thoughtful person to share my life with. I'm sorry that this has taken so long and that things have been delayed for longer than they should have been, but I'll never forget your patience and encouragement over this last year. The best thing in the world is knowing that when I see you and hear your voice everything else melts away and all I feel is warm, cosy and happy. You are everything to me and from now on nothing is going to stop our wee team. Mandy, I love you and I'll never stop. Love Bugs. Contents Abstract .................................. i Contents . viii List of Figures .............................. xii Abbreviations . xiii Physical Constants . xiv 1 Introduction 1 1.1 Laser cooling . 1 1.1.1 History and development . 1 1.1.2 Atomic species . 5 1.2 Thesis layout . 7 2 Laser cooling and the alkali earths 9 2.1 Laser cooling . 9 2.1.1 The scattering force . 9 2.1.2 The position dependent scattering force . 12 2.1.3 Doppler cooling . 15 2.1.4 Position dependent Doppler cooling . 17 2.2 Calcium . 21 2.2.1 Physical properties of calcium . 22 2.2.2 Atomic and spectroscopic properties . 23 v 3 Hardware 28 3.1 Vacuum system overview . 28 3.1.1 Vacuum pumps . 29 3.2 The calcium oven . 30 3.3 Zeeman slower . 31 3.4 Deflection chamber . 34 3.5 MOT chamber . 36 3.5.1 Viewports . 37 4 Frequency doubling and laser stabilisation 40 4.1 423 nm source . 40 4.2 Second harmonic generation: theory . 41 4.2.1 Nonlinear susceptibility . 42 4.2.2 Phase matching . 43 4.3 Second harmonic generation: experiment . 46 4.3.1 Infrared laser source . 46 4.3.2 Nonlinear crystals . 48 4.4 SHG setup . 51 4.4.1 Resonant Enhancement Cavity . 51 4.5 Laser stabilization to an atomic reference . 58 4.5.1 Lamp characterisation . 60 4.5.2 Saturated absorption . 63 4.5.3 Method and results . 65 5 Laser diode light sources 71 5.1 Properties of diode lasers . 71 5.1.1 Structure . 71 5.1.2 Temperature and current dependence . 72 5.1.3 Mode-hopping . 74 5.2 External cavity diode lasers . 75 5.3 672 nm source . 76 5.3.1 Alignment and wavelength calibration . 78 5.3.2 Stabilisation to a stable reference cavity . 80 5.4 1530 nm laser . 84 6 MOT setup and characterisation 88 6.1 Experimental setup and apparatus . 88 6.1.1 Optical layout . 88 6.1.2 Detectors . 92 6.1.3 Acousto-optic modulators . 93 6.1.4 Zeeman slower . 94 6.1.5 Cooling and deflection . 95 6.1.6 MOT coils . 97 6.2 Atomic beam characterisation . 98 6.2.1 Beam presence . 98 6.2.2 Velocity distribution from oven . 98 6.2.3 Velocity distribution into MOT chamber . 99 6.3 MOT characterisation . 102 6.3.1 Atom number . 102 6.3.2 Deflection stage optimisation . 103 6.3.3 Zeeman slower optimisation . 105 6.3.4 MOT coil current variation . 108 6.4 Trapped atom characterisation . 108 6.4.1 Trap lifetime .