Noisy propagation of Gaussian states in optical media with finite bandwidth
- Resource Type
- article
- Authors
- Berihu Teklu; Matteo Bina; Matteo G. A. Paris
- Source
- Scientific Reports, Vol 12, Iss 1, Pp 1-7 (2022)
- Subject
- Medicine
Science
- Language
- English
- ISSN
- 2045-2322
Abstract 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 $$J(\omega ) = J_0 \left[ \theta (\omega -\Omega ) - \theta (\omega - \Omega - \delta )\right] $$ J ( ω ) = J 0 θ ( ω - Ω ) - θ ( ω - Ω - δ ) , and show that in the low temperature regime $$T\ll \Omega ^{-1}$$ 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.