Two particle interference (entanglement)

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4everlonging
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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?
 
Attachments
  • Diagram of a central source dot with four arrows radiating diagonally outward, labelled a1 (upper left), b1 (upper right), a2 (lower left) and b2 (lower right).
    Diagram A.jpg
    12.7 KB · Views: 486
  • Diagram of a two-path interferometer: detectors D1 and D2 on the left, a 50/50 beam splitter crossing the two beams, mirror-like paths labelled a1 and a2 leading to a central dot labelled with outputs b1 and b2 on the right.
    Diagram B.jpg
    21.4 KB · Views: 460