Two particle interference (entanglement)

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The discussion centers on a scenario involving pairs of particles emitted in opposite directions, with a 50% probability for each direction. When these particles are combined at a 50/50 beam splitter, the interference pattern becomes a key focus. Participants analyze how the indistinguishability of the particle paths affects detection rates at the detectors. The outcome reveals that due to quantum interference, the detection percentages at each detector will not simply reflect the initial emission probabilities. Overall, the analysis emphasizes the complex nature of quantum entanglement and interference in particle detection.
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Homework Statement



A source emits pairs of particles "back to back", 50% into directions a1 and b1, 50 % into directions a2 and b2, where the choice between a1+b1 and a2+b2 is fundamentally undetermined.

Insert Diagram A

suppose that directions a1 and a2 are combined on a 50/50 beam splitter(equal path lengths)

Insert Diagram B

what percentage of the particles emitted to the left will be detected in each detector?
 

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  • Diagram B.jpg
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