Undergrad 3 photon transfer probability

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In a two-level system with an energy difference of ω and a photon source emitting n photons per second at a frequency of ω/3, the probability of achieving a three-photon excitation can be derived using quantum mechanics principles. The discussion references the utility of a two-photon microscope as a relevant experimental setup for understanding this phenomenon. Additionally, third-harmonic generation is highlighted as a well-researched area that may provide further insights into the excitation probabilities. The conversation emphasizes the importance of these concepts in advancing knowledge in quantum optics. Understanding these probabilities is crucial for applications in photonics and quantum technologies.
Malamala
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Hello! If I have a 2 level system with the energy difference between the levels ##\omega## and a photon source, producing ##n## photons per second, with a frequency ##\omega/3##. What is the probability of having a 3 photon excitation and how can I derive it?
 
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Two photon microscope has been a familiar apparatus. I suppose you can get some insight from it.
 
Similarly, third-harmonic generation is a well-studied phenomenon with lots of references available.
 

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