Hong-Ou-Mandel Effect

Two identical photons enter a beamsplitter — they always exit together

Controls

Coincidence Rate

P_coinc = ½[1 − |g(Δt)|²·(1−d)]
C12
HOM
At Δt=0: Perfect dip — coincidences vanish
Dip depth = 1−d (distinguishability d)

Quantum Paths

Four amplitude paths through BS:
• RR: both reflect → |1,1⟩_out
• TT: both transmit → |1,1⟩_out
• RT: one each → |2,0⟩_out
• TR: one each → |0,2⟩_out

RR amplitude = +½
TT amplitude = −½ (reflection phase)
→ Destructive interference!
Both photons exit same port.