Single-photon frequency conversion in nonlinear crystals
Susanne Blum, Georgina A. Olivares-Renter\'ia, Carlo Ottaviani,, Christoph Becher, Giovanna Morigi

TL;DR
This paper presents a theoretical study of single-photon frequency conversion in nonlinear crystals, including noise and losses, to determine device requirements for quantum network integration.
Contribution
It introduces a Heisenberg-Langevin formalism for modeling frequency conversion of single photons, accounting for noise and losses, and calculates correlation functions for quantum network applications.
Findings
Identifies conditions for efficient single-photon frequency conversion.
Provides correlation function calculations for converted photons.
Analyzes noise and loss impacts on quantum information transfer.
Abstract
Frequency conversion of single photons in a nonlinear crystal is theoretically discussed. Losses and noise are included within a Heisenberg-Langevin formalism for the propagating photon field. We calculate the first- and second-order correlation functions of the frequency-converted light when the input is a train of single-photon pulses. This model allows one to identify the requirements on the nonlinear device so that it can be integrated in a quantum network.
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