Single photons traversing a beam splitter

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SUMMARY

This discussion focuses on the behavior of single photons when they encounter a 50-50 beam splitter. The primary inquiry is about the resulting wave function and the probability of detecting a photon at a specified point after interaction with the beam splitter. The user speculates on the formation of standing waves and the implications of photon behavior during this quantum interaction. The conversation highlights the complexities of quantum mechanics, particularly in relation to single-photon experiments.

PREREQUISITES
  • Understanding of quantum mechanics principles, specifically wave-particle duality.
  • Familiarity with beam splitter functionality and its role in quantum optics.
  • Knowledge of probability amplitudes in quantum mechanics.
  • Basic concepts of photon behavior in quantum systems.
NEXT STEPS
  • Research the concept of quantum superposition and its implications for single photons.
  • Study the mathematical framework of quantum mechanics, focusing on wave functions and probability distributions.
  • Explore experimental setups involving single photons and beam splitters, such as the Mach-Zehnder interferometer.
  • Learn about the role of measurement in quantum mechanics and how it affects photon detection probabilities.
USEFUL FOR

Students of quantum mechanics, physicists interested in quantum optics, and researchers exploring single-photon experiments will benefit from this discussion.

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Hi!

I'm not sure this is exactly the right subforum, but here goes:

Homework Statement



Fysikbild.png


So we have a source (OP) that emits single photons of a constant wavelength and angular frequency. The photons hit a 50-50 beam splitter, and are then reflected in the mirrors. Where is says (L) ou (SP) (yay for studying in French!) there is a beam splitter.

What I want to know basically is what happens. What happens when the photon hits the beam splitter? What happens at point p, and what is the probability of detecting a photon there?

Homework Equations


-


The Attempt at a Solution



I think it will become a standing wave, but how does that work with only one photon? Does the photon split itself when traversing the beam splitter? What happens in that case when the two waves meet at the point p, and what is the probability of detecting a photon there?

I would be more than happy if anyone could answer this, as I haven't been able to found a similar problem anywhere and my professor refuses to answer e-mails.

Thank you so so much!
 
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Pardon me, it should obviously be point x instead of point p!
 

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