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When Δ t12 >0 (and Δ t13 =0), pulse k2 arrives first. It creates a polarization PnL that evolves for time t=Δ t12 with frequency Ωn and decay rate Γn, until pulses k1 and k3 come in. Different processes can then take place but the FWM signal emitted in the k1 + k2 - k3 direction will only depend on Δ t12 as e-i Ωn Δ t12 e- Γn Δ t12. Thus, the only oscillations that can be created beat with frequency Ω1 - Ω0 and decay as Γ0 + Γ1.
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When Δ t12 >0 (and Δ t13 =0), pulse k2 arrives first. It creates a polarization PnL that evolves for time t=Δ t12 with frequency Ωn and decay rate Γn, until pulses k1 and k3 come in. Different processes can then take place but the FWM signal emitted in the k1 + k2 - k3 direction will only depend on Δ t12 as e-i Ωn Δ t12 e- Γn Δ t12. Thus, the only oscillations that can be created beat with frequency Ω1 - Ω0 and decay as Γ0 + Γ1.
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