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.
(13)] In the Heisenberg picture, the evolution of an operator ˆA(0) is given by ˆA(t) = ˆU †(t) ˆA(0) ˆU(t), where ˆU(t) = e−i ˆHt/ℏ is the unitary time-evolution operator
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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.