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

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<strong>The</strong> scheme for a Resonant Raman transition looks fairly similar, as can be seen<br />

in fig. 5.2. Instead <strong>of</strong> a resonant one-photon transition a resonant two-photon transition<br />

occurs. Two frequencies ω1 and ω2 are combined into one excitation pulse, where the<br />

difference frequency ω = ω1 − ω2 equals the differency frequency between the initial<br />

and the final state. Both frequencies, ω1 and ω2 are <strong>of</strong>f-resonant; the detuning to the<br />

intermediate level |I〉 is given <strong>by</strong> ∆.<br />

Figure 5.2: Simplified scheme <strong>of</strong> a resonant Raman transition with spatial resolution;the<br />

resonance frequency is space-dependant. For simplicity we have assumed that only<br />

the final state | f 〉 is dependant on the magnetic field. <strong>The</strong> two frequencies ω1 and ω2<br />

are <strong>of</strong>f-resonance with an intermediate level |I〉. <strong>The</strong> detuning is given <strong>by</strong> ∆.<br />

5.2 Limitations for spatially resolved Raman transitions<br />

In the following section we want to present the fundamental limits for spatially resolved<br />

Raman transitions [22]. In addition to considering the spectral resolution, we must also<br />

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