Double-Slit Experiment and Michelson Interferometer

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SUMMARY

The discussion centers on the interference patterns produced by individual photons in the double-slit experiment and their applicability to Michelson interferometer experiments. It is established that single photons interfere only with themselves, as noted in Dirac's writings. The conversation highlights that interference patterns can still be observed in Michelson interferometers, even with unequal arm lengths, provided that the timing of photon arrivals is not monitored, which would collapse the interference pattern.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly wave-particle duality.
  • Familiarity with the double-slit experiment and its implications for photon behavior.
  • Knowledge of the Michelson interferometer setup and its operational principles.
  • Awareness of the concept of coherence and its role in interference patterns.
NEXT STEPS
  • Research the mathematical framework of quantum interference in the double-slit experiment.
  • Explore the Kennedy-Thorndike experiment and its implications for photon behavior in interferometers.
  • Study the effects of coherence length on interference patterns in optical experiments.
  • Investigate Dirac's writings on quantum mechanics for deeper insights into photon interference.
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Physicists, quantum mechanics students, and optical engineers interested in the principles of interference and photon behavior in experimental setups.

exmarine
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If, in the double-slit experiment, individual photons only interfere with themselves, as apparently happens when the stream of photons is slowed down to "one at a time", does the same rule or phenomenon apply to the various Michelson interferometer experiments?

I think it was in Dirac’s writing that I first noticed the assertion or statement that single photons only interfere with themselves in the double-slit experiment. And I am not sure exactly how much time must elapse between photons to qualify for the "one at a time" condition.

But if we accept this, then how can one get an interference pattern in a Michelson interferometer, where the orthogonal arms are probably not the same length to within a wavelength of the light? In particular, the two arm lengths are deliberately and significantly different in the Kennedy-Thorndike experiment.

Any illumination on this subject is appreciated.

BB
 
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Interference works the same whether you use a Michelson interferometer or a double slit. If the arms are unequal length, you'd better not time the photon arrivals, for this would reveal which path the photon took and destroy the interference pattern.
 

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