How to measure the two-photon detuning in 3-level system?

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SUMMARY

This discussion focuses on measuring two-photon detuning in a three-level quantum system, specifically parameters Δ2 and Δ3. Researchers typically measure these parameters using techniques such as beat frequency analysis of probing and controlling light or employing interferometers. The magnitude of two-photon detuning can vary significantly, with interesting physics observed from resonance to detunings of several tens of Γ, where Γ represents the linewidth of level |2⟩. The methods for measurement depend heavily on the specific frequencies involved, whether in the microwave or optical regime.

PREREQUISITES
  • Understanding of three-level quantum systems
  • Familiarity with two-photon and one-photon detuning concepts
  • Knowledge of optical and microwave measurement techniques
  • Basic principles of interferometry
NEXT STEPS
  • Research techniques for measuring beat frequencies in quantum optics
  • Explore the use of interferometers in measuring light frequencies
  • Study the implications of detuning in three-level systems
  • Investigate relevant publications on optical transitions and their detuning effects
USEFUL FOR

Quantum physicists, experimental researchers in optics and microwave systems, and anyone interested in the measurement techniques of quantum detuning parameters.

wangvivi
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TL;DR
how to measure the two-photon detuning in 3-level system
hi,everyone!
if i have a 3-level system,like this:
1681138641894.png


now,i want know how to measure the two-photon detuning in this system,and i‘ve known that,Δ2 and Δ3 are the two- and on-photon detunings,like this paper said:
1681138811163.png

my questions are below:
1.how other researchers measure these two parameters?
they measure the beat frequency of probing light and controling light? or they use an interferometer to measure the frequency of probing light?
2.can anyone give me some examples for these parameter,like What is the approximate magnitude of two-photon detuning,if you have any paper or publication about that,please let me know,i would be so grateful to receive your guidance!

Have a nice day,everyone!
 
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I am theoretician, so I can't answer the first one. Maybe @f95toli or @Twigg can help.

For the second question, it will depend on the situation considered, but I would say that interesting physics will happen for anything from on resonance to a detuning of a few tens of ##\Gamma## (the line width of level ##\ket{2}##).
 
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My guess is that the question is about optical transitions which is not my area of expertise.
Generally speaking, answers to "how do you measure" questions are really dependent on the details Clearly, the methods used will depend on the frequencies involved; for something like a 3-level system the underlying physics is not very different if you are working in the microwave regime (say SC qubits or Rydberg atoms) or in optics (or a mix of both, you can have 3-level systems with both optical and MW transitions) but experimentally it obviously makes a lot of difference...
 
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