Beam splitting experiment with single photon

Click For Summary
SUMMARY

The beam splitting experiment with single photons involves a source emitting one photon at a time, which is directed to a beam splitter that divides the photon into three paths of equal probability. The second beam splitter further divides path 3 into two additional paths, leading to four detectors: M1, M2, M3, and M4. The probability of detectors M3 or M4 clicking is calculated to be 1/6 for each, while M1 and M2 maintain a probability of 1/3 each, confirming the tree structure of the setup.

PREREQUISITES
  • Understanding of quantum mechanics principles, specifically photon behavior.
  • Familiarity with beam splitter functionality and probability distribution.
  • Knowledge of photon detection methods and their applications.
  • Basic grasp of tree structures in probability theory.
NEXT STEPS
  • Research the principles of quantum superposition and entanglement.
  • Learn about advanced photon detection techniques and their accuracy.
  • Explore the mathematical foundations of probability in quantum mechanics.
  • Investigate the applications of beam splitters in quantum optics experiments.
USEFUL FOR

Quantum physicists, optical engineers, and students studying quantum mechanics who are interested in the behavior of single photons and experimental setups involving beam splitters.

entropy15
Messages
38
Reaction score
0
?temp_hash=94fdb2ebde42c7c42c082589bf04f27c.png



Consider the above experimental setup.
Here the source can emit one photon at a time.
The output from the source is sent to a beam splitter which divides it into three possible paths of equal probability.
Splitter 2 further splits the path 3 into two paths of equal probability.
We have photon detectors M1, M2, M3 and M4 mounted at the end of the paths as shown.
Considering this, what is the probability that the detector M3 or M4 clicks?

Would it be 1/6 or 1/4?
 

Attachments

  • C1.png
    C1.png
    2.6 KB · Views: 580
Physics news on Phys.org
The M1 and M2 probabilities are not modified by what happens after BS2 (the setup has a tree structure) so 1/3 1/3 1/6 1/6
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 41 ·
2
Replies
41
Views
7K
  • · Replies 40 ·
2
Replies
40
Views
4K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K