Noisy propagation of Gaussian states in optical media with finite bandwidth

Berihu Teklu, Matteo Bina, Matteo G.A. Paris

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We address propagation and entanglement of Gaussian states in optical media characterised by nontrivial spectral densities. In particular, we consider environments with a finite bandwidth J(ω) = J[ θ(ω- Ω) - θ(ω- Ω - δ) ] , and show that in the low temperature regime T≪ Ω - 1: (i) secular terms in the master equation may be neglected; (ii) attenuation (damping) is strongly suppressed; (iii) the overall diffusion process may be described as a Gaussian noise channel with variance depending only on the bandwidth. We find several regimes where propagation is not much detrimental and entanglement may be protected form decoherence.

Original languageBritish English
Article number11646
JournalScientific Reports
Issue number1
StatePublished - Dec 2022


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