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Because of its magnetic substructure the (Formula presented) transition (Formula presented) is, strictly speaking, not a two-level system. For (Formula presented)-light excitation, however, the variations of the Clebsch-Gordan coefficients of the different transitions (Formula presented) are relatively small, so that the distribution of the ions among the different magnetic sublevels plays a negligible role and the system can be excellently modeled as a two-level scheme. We define the saturation intensity (Formula presented) by using a rms Rabi frequency (Formula presented) for the different magnetic substates in the relation (Formula presented), which represents a common definition of (Formula presented) for a true two-level system
-
Because of its magnetic substructure the (Formula presented) transition (Formula presented) is, strictly speaking, not a two-level system. For (Formula presented)-light excitation, however, the variations of the Clebsch-Gordan coefficients of the different transitions (Formula presented) are relatively small, so that the distribution of the ions among the different magnetic sublevels plays a negligible role and the system can be excellently modeled as a two-level scheme. We define the saturation intensity (Formula presented) by using a rms Rabi frequency (Formula presented) for the different magnetic substates in the relation (Formula presented), which represents a common definition of (Formula presented) for a true two-level system.
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46
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85037184413
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The drift tube is a cylinder with a length of 230 mm and a diameter of 200 mm. In addition, guarded rings are used on both ends of the cylinder for corrections to the potential shape. For our purpose the bias voltage of the rings is set to a value 1.5 times higher than the cylinder potential (Formula presented). In the middle of the tube this choice provides a flat potential over about 150 mm along the beam axis together with a nearly uniform potential slope in the fringe fields extending over about 100 mm
-
The drift tube is a cylinder with a length of 230 mm and a diameter of 200 mm. In addition, guarded rings are used on both ends of the cylinder for corrections to the potential shape. For our purpose the bias voltage of the rings is set to a value 1.5 times higher than the cylinder potential (Formula presented). In the middle of the tube this choice provides a flat potential over about 150 mm along the beam axis together with a nearly uniform potential slope in the fringe fields extending over about 100 mm.
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47
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85037226759
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We define the detuning (Formula presented) in the laboratory frame as the laser frequency minus the Doppler-shifted center frequency of the laser-cooled ion distribution outside the electrostatic potential
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We define the detuning (Formula presented) in the laboratory frame as the laser frequency minus the Doppler-shifted center frequency of the laser-cooled ion distribution outside the electrostatic potential.
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48
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85037183731
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B. Wanner, Ph.D. thesis, Universität Heidelberg, 1993; Max-Planck-Institut für Kernphysik Report No. MPIH-V1-1994, 1994
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B. Wanner, Ph.D. thesis, Universität Heidelberg, 1993;Max-Planck-Institut für Kernphysik Report No. MPIH-V1-1994, 1994.
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50
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85037178773
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contrast to indirect transverse laser cooling via intrabeam scattering, dispersive transverse cooling is a single-particle mechanism independent of the mutual interaction between stored ions
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I. Lauer et al(unpublished);in contrast to indirect transverse laser cooling via intrabeam scattering, dispersive transverse cooling is a single-particle mechanism independent of the mutual interaction between stored ions.
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Lauer, I.1
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