Editing Openai/6897769e-4ee4-800f-aba5-69cca34f701c (section)

===== Model the atom‑plus‑shell as a system coupled to many degrees of freedom (photon bath, phonons). The off‑diagonal density matrix element ρij\rho_{ij}ρij decays approximately as ρij(t)∝e−Γdect \rho_{ij}(t)\propto e^{-\Gamma_{\rm dec}t}ρij(t)∝e−Γdect with =====

Γdec∼g2S(ω)\Gamma_{\rm dec}\sim g^2 S(\omega)Γdec∼g2S(ω)
where ggg is coupling, S(ω)S(\omega)S(ω) environmental spectral density. Stronger photon exchange → larger ggg or spectral intensity → faster decoherence. QAT’s “each photon → new now” is equivalent to short decoherence time per photon event.

I can set up a simple Lindblad model and compute decoherence times as function of photon flux and dipole coupling.