A Thought Experiment: Photons Passing through Detectors

In summary, the conversation discusses the effects of passing photons through a multi-slitted grating with detectors on each slit. The speakers consider the interference pattern that occurs on the screen and whether it remains when multiple, distinct photons are passing through the slits at different times. The conclusion is that the interference pattern is destroyed due to the random noise term and the superimposition of different photon wavelengths, resulting in a pattern without interference.
  • #1
friendbobbiny
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Pretend we have a multi-slitted grating whose slits are infinitesimally small. We On each slit is a detector. If we shine (UPDATE) [strike]light[/strike] monochromatic light through the grating, what distribution pattern occurs on the screen past the grating?

I understand the train of thought to a slight variation of the preceding scenario. In this alternate scenario, instead of multiple photons passing through the slits simultaneously ( i.e. light shining through), photons pass through the grating one at a time. Here, the photons won't give rise to the familiar distribution pattern shown in the image. While each passing photon would normally interfere with itself (we can't definitively know the photon's position, so we take its trajectory to be the combination of pathways through each slit -- and hence, it's as if mutliple photons were entering simultaneously), by putting a detector in place, we localize its position and destroy the intereference distribution.

If this reasoning is true, I can't extend it to the scenario I want to resolve. In this scenario, while the interference pattern arising from the passage of any one photon is destroyed, does not the interference pattern arising from the passage of multiple, distinct photons remain?

Hence, should not the pattern be shown?
 

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  • #2
I think the answer is that, unlike alternative paths for a single photon, distinct photons will not pass through the slits at exactly the same time. There will be a random noise term that is the difference between the phases of two distinct photons at the point they passed the slit. That noise term destroys the interference pattern that would otherwise arise from the fixed difference in path length from the two sits to a given point on the screen.
 
  • #3
friendbobbiny said:
If this reasoning is true, I can't extend it to the scenario I want to resolve. In this scenario, while the interference pattern arising from passage of any one photon is destroyed, does not the interference pattern arising from the passage of multiple, distinct photons remain?
If you add the patterns arising from single photons that don't show interference, you get a pattern that doesn't show interference.
 
  • #4
mfb said:
If you add the patterns arising from single photons that don't show interference, you get a pattern that doesn't show interference.

However, can't one photon interfere with another one? Shouldn't we observe an interference pattern from the superimposition of photon wavelengths having different path lengths (i.e. have something close to what's below).

doubsli.gif

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
 
  • #5
friendbobbiny said:
However, can't one photon interfere with another one? Shouldn't we observe an interference pattern from the superimposition of photon wavelengths having different path lengths
No, because (as noted above) the two photons will pass the slits at different times, so the phase difference on the screen will not be a pure function of y.
 
  • #6
andrewkirk said:
There will be a random noise term that is the difference between the phases of two distinct photons at the point they passed the slit.

I haven't encountered this in my reading. Can you explain a bit more or perhaps link me? Why would the noise term occur? I should clarify that this thought experiment used monochromatic light -- so wouldn't photons start off in phase?
 
  • #7
Light being monochromatic affects frequency, not phase. Two photons will be out of phase with one another when they encounter the slits because they have been emitted from the source at different times.

This is not an issue for the interference discussed in treatments of the standard double-slit experiment because they are discussing a photon interfering with itself, and a photon is always in phase with itself when it reaches the slits.
 
  • #8
andrewkirk said:
This is not an issue for the interference discussed in treatments of the standard double-slit experiment because they are discussing a photon interfering with itself, and a photon is always in phase with itself when it reaches the slits.

Ah, so through the double slit experiment and similar ones, interference is never produced as a result of distinct waves superimposing but through photons interfering with themselves. I should take this away, no?
 
  • #9
friendbobbiny said:
Ah, so through the double slit experiment and similar ones, interference is never produced as a result of distinct waves superimposing but through photons interfering with themselves. I should take this away, no?

I think the following is a much better way of looking at the double slit:
http://arxiv.org/ftp/quant-ph/papers/0703/0703126.pdf

Thanks
Bill
 

1. What is a thought experiment?

A thought experiment is a mental exercise or hypothetical scenario used by scientists to explore and test theories and concepts. It does not involve any physical experiments, but instead relies on logical reasoning and imagination.

2. What is the purpose of the thought experiment "Photons Passing through Detectors"?

The purpose of this thought experiment is to illustrate the counterintuitive behavior of quantum particles, specifically photons, when they are observed by detectors. It helps to understand the concept of wave-particle duality and the role of observation in quantum mechanics.

3. How does the thought experiment work?

In this thought experiment, a single photon is fired towards a detector that has two possible paths it can take. According to quantum mechanics, the photon will take both paths simultaneously until it is observed by the detector. This creates a wave-like interference pattern. However, if the photon is observed, it will behave like a particle and only take one path.

4. What does the thought experiment reveal about the nature of quantum particles?

The thought experiment highlights the strange behavior of quantum particles that can exist in multiple states simultaneously and only collapse into a single state when observed. It also demonstrates the role of observation in determining the behavior of particles in the quantum world.

5. How does the thought experiment relate to real-life experiments?

While the thought experiment itself cannot be physically performed, it serves as a conceptual model for understanding the behavior of quantum particles. Real-life experiments, such as the double-slit experiment, have confirmed the predictions of this thought experiment, further supporting the principles of quantum mechanics.

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