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

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Figure 3.3: Plot of the AC-Stark shift in Sodium. Numerical values are for a circularly polarized beam with P=1W and w0=10µm; the ground state manifold is shown in red, excited states (3 2 P3/2) are blue. Figure 3.4: AC-Stark shift in Rubidium. Numerical values are for a linearly polarized beam with P=1W and w0=10µm; the hyperfine structure belongs to the 5 2 P3/2 state. 17
Chapter 4 Experiments on the magic wavelength In this chapter we outline our efforts to determine the magic wavelength of Sodium. Although the measurements did not attain any meaningful results, we want to give a brief introduction to the idea of the measurement and shortly describe the experimental procedure. 4.1 Scattering Rate In section 2.2 we described the interaction of a two-level atom with a monochromatic light field. However, an approach using coherent evolution of the amplitudes cannot describe spontaneous emission. In the two-level approximation this can be included using a density matrix formalism. The interaction of a two-level atom with electro- magnetic radiation in the case of purely radiative damping can then be described by the optical Bloch equations [8] 18
Page 1 and 2: Copyright by Kirsten Viering 2006
Page 3 and 4: Spatially resolved single atom dete
Page 5 and 6: Acknowledgments First of all I woul
Page 7 and 8: Spatially resolved single atom dete
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: Figure 3.2: Plot of the AC-Stark sh
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
Page 57 and 58: With the calculation of the detunin
Page 59 and 60: Figure 6.3: Dependance of the final
Page 61 and 62: In the absence of a magnetic field,
Page 63 and 64: used to determine the necessary mag
Page 65 and 66: The product of the two rotation mat
Page 67 and 68: Figure B.1: Grotrian diagram for So
Page 69 and 70: Figure B.3: Schematic of the cyclin
Page 71 and 72: Figure B.4: Sodium 3 2 S1/2 ground
Page 73 and 74: F’=2 F’=1 F’=0 mF = −1 mF =
Page 75 and 76: Appendix C Einstein-coefficients fo
Page 77 and 78: Bibliography [1] J. V. Prodan, W. D
Page 79 and 80: [24] K. D. Stokes, C. Schnurr, J. R

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