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

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transition λ (nm) source Aik(·10 6 1/s) source 5S1/2 → 5P1/2 794.9788509 [34] 36.1285 [34] 5S1/2 → 5P3/2 780.241209686 [34] 38.1156 [34] 5S1/2 → 6P1/2 421.6726 [18] 1.769 [35] 5S1/2 → 6P3/2 420.2989 [18] 1.499 [35] 5S1/2 → 7P1/2 359.2597 [18] 0.2890 [35] 5S1/2 → 7P3/2 358.8073 [18] 8.300 [35] 5S1/2 → 8P1/2 335.1775 [18] 8.912 · 10 −2 [35] 5S1/2 → 8P3/2 334.9658 [18] 0.1370 [35] 5S1/2 → 9P1/2 323.0088 [18] 4.231 · 10 −2 [35] 5S1/2 → 9P3/2 322.8911 [18] 6.380 · 10 −2 [35] 5S1/2 → 10P1/2 315.9173 [18] 2.209 · 10 −2 [35] 5S1/2 → 10P3/2 315.8444 [18] 3.716 · 10 −2 [35] 5S1/2 → 11P1/2 311.3950 [18] 1.398 · 10 −2 [35] 5S1/2 → 11P3/2 311.3468 [18] 2.763 · 10 −2 [35] 5S1/2 → 12P1/2 308.3229 [18] 7.692 · 10 −3 [35] 5S1/2 → 12P3/2 308.2893 [18] 1.639 · 10 2 [35] 5S1/2 → 13P1/2 306.1375 [18] 4.955 · 10 −3 [35] 5S1/2 → 13P3/2 306.1131 [18] 1.155 · 10 −2 [35] Table C.1: Wavelengths and Einstein-coefficients for the calculation of the energy shift of the ground state transition λ (nm) source Aik(·10 6 1/s) source 5P3/2 → 6S1/2 1366.875 [18] 14.63 [36] 5P3/2 → 7S1/2 741.02136 [18] 4.552 [19] 5P3/2 → 8S1/2 616.13310 [18] 2.183 [19] 5P3/2 → 4D3/2 1529.261 [18] 1.776 [19] 5P3/2 → 4D5/2 1529.366 [18] 10.67 [19] 5P3/2 → 5D3/2 776.15716 [18] 0.6711 [19] 5P3/2 → 5D5/2 775.97855 [18] 3.937 [19] 5P3/2 → 6D3/2 630.09666 [18] 0.6305 [19] 5P3/2 → 6D5/2 630.00670 [18] 3.717 [19] Table C.2: Wavelengths and Einstein-coefficients for the calculation of the energy shift of the 5P3/2 state 63
Bibliography [1] J. V. Prodan, W. D. Phillips, H. Metcalf, Laser Production of a very slow monoen- ergetic atomic beam, Phys. Rev. Lett. 49, 1149 (1982) [2] S. Chu, L. Hollberg, J. E. Bjorkholm, A. Cable, A. Ashkin, Three-dimensional viscous confinement and cooling of atoms by resonance radiation pressure, Phys. Rev. Lett. 55, 48 (1985) [3] M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, E. A. Cornell, Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor, Science 268, 198 (1995) [4] A. Einstein, Sitz. Ber. Preuss. Akad. Wiss. (Berlin) 1, 3 (1925) [5] M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, I. Bloch, Quantum phase transition from a superfluid to a Mott insulator in a gas of cold atoms, Nature 415, 39 (2002) [6] C. Cohen-Tannoudji, B. Diu, F. Laloe, Quantum Mechanics Vol. II, Wiley (1977) [7] B. H. Bransden, C. J. Joachin, Physics of Atoms and Molecules, Prentice Hall (2003) [8] H. J. Metcalf, P. van der Straten, Laser cooling and trapping, Springer-Verlag (1999) [9] L. Allen, J. H. Eberly, Optical resonance and two-level atoms, Wiley (1975) [10] R. Loudon, The quantum theory of light, Clarendon Press (1983) 64
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Copyright by Kirsten Viering 2006
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Spatially resolved single atom dete
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Acknowledgments First of all I woul
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Spatially resolved single atom dete
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Chapter 5 Stimulated Raman transiti
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List of Figures 2.1 Schematic of th
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6.1 Schematic of the possible Raman
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are therefore useful tools. A tweez
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eigenfunctions |n〉 with the corre
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and c ′ g(t) = cg(t) (2.12) c ′
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2.3 Interaction of a multi-level sy
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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
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: Appendix C Einstein-coefficients fo
Page 79 and 80: [24] K. D. Stokes, C. Schnurr, J. R
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