Introduces instantaneous eigenstate method for photon evolution in time-varying media, deriving 25% max single-photon-pair probability from vacuum and 84% max for Bell states, plus spectral control via material temporal profiles.
(12) Since the instantaneous eigenstate must be normalized, ⟨ξ0,0(t)|ξ0,0(t)⟩ = 1, we find that D0,0(t) is determined up to a phase factor θ(t), so that D0,0(t) = eiθ(t)/fk(t)
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Photon State Evolution in Arbitrary Time-Varying Media
Introduces instantaneous eigenstate method for photon evolution in time-varying media, deriving 25% max single-photon-pair probability from vacuum and 84% max for Bell states, plus spectral control via material temporal profiles.