Copyright by Kirsten Viering 2006 - Raizen Lab - The University of ...

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here every year. Thanks also to my family for all their support and to everybody who made Austin such a lovely place to stay. Thanks to everybody who helped reading and correcting my thesis. I would also like to acknowledge the German Academic Exchange Service (Deutscher Akademischer Austausch Dienst) for their financial support. The University of Texas at Austin August 2006 vi Kirsten Viering
Spatially resolved single atom detection of neutral atoms Kirsten Viering, M.A. The University of Texas at Austin, 2006 Supervisor: Mark Raizen This thesis describes several new ideas towards spatially resolved single atom detection, using a magic wavelength and spatially resolved stimulated Raman transitions. After an introduction to the theory of AC-Stark shifts and the magic wavelength, we will present the calculations on the magic wavelength for Sodium and Rubidium. We conclude the first chapters by summarizing the experimental efforts made in order to determine the magic wavelength in Sodium. The theory for stimulated Raman transitions will be described in chapter 5 and evaluated in chapter 6 for Sodium atoms, including a prediction for the ideal pulse area and the spatial resolution achievable using magnetic field gradients. vii
Page 1 and 2: Copyright by Kirsten Viering 2006
Page 3 and 4: Spatially resolved single atom dete
Page 5: Acknowledgments First of all I woul
Page 9 and 10: Chapter 5 Stimulated Raman transiti
Page 11 and 12: List of Figures 2.1 Schematic of th
Page 13 and 14: 6.1 Schematic of the possible Raman
Page 15 and 16: are therefore useful tools. A tweez
Page 17 and 18: eigenfunctions |n〉 with the corre
Page 19 and 20: and c ′ g(t) = cg(t) (2.12) c ′
Page 21 and 22: 2.3 Interaction of a multi-level sy
Page 23 and 24: Figure 2.2: Plot of the AC-Stark sh
Page 25 and 26: |µ kj| ∆Ej = k 2E2 1 1 − ω
Page 27 and 28: on the transition frequency but als
Page 29 and 30: Figure 3.2: Plot of the AC-Stark sh
Page 31 and 32: Chapter 4 Experiments on the magic
Page 33 and 34: I Figure 4.1: Scattering Rate depen
Page 35 and 36: Figure 4.3: Sketch of the Zeeman-Sh
Page 37 and 38: Chapter 5 Stimulated Raman transiti
Page 39 and 40: The scheme for a Resonant Raman tra
Page 41 and 42: variation of the resonance transiti
Page 43 and 44: Figure 5.3: Possible configurations
Page 45 and 46: to adiabatically reduce the three-l
Page 47 and 48: as the final state probability. 5.4
Page 49 and 50: Rabi frequency β given by β f i
Page 51 and 52: larizations stay constant, while th
Page 53 and 54: Chapter 6 Raman transitions of Sodi
Page 55 and 56: e in the ˆz-direction, B = Bˆz. T
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With the calculation of the detunin
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Figure 6.3: Dependance of the final
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In the absence of a magnetic field,
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used to determine the necessary mag
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The product of the two rotation mat
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Figure B.1: Grotrian diagram for So
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Figure B.3: Schematic of the cyclin
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Figure B.4: Sodium 3 2 S1/2 ground
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F’=2 F’=1 F’=0 mF = −1 mF =
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Appendix C Einstein-coefficients fo
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Bibliography [1] J. V. Prodan, W. D
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[24] K. D. Stokes, C. Schnurr, J. R
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