2014/03/12 by Andreas Christ, Cosmo Lupo, Matthias Reichelt +3
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Computer science #Continuous variable #Domain (mathematical analysis) #Frequency domain #Materials science #Mathematical analysis #Mathematical optimization #Mathematics #Mechanical and Optical Resonators #Multi-mode optical fiber #Narrowband #Optical fiber #Optics #Parametric statistics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Spontaneous parametric down-conversion #Statistical physics #Statistics #Type (biology) #VLSI and Analog Circuit Testing #Variable (mathematics) #quant-ph
paper · pdf · doi:10.1103/physreva.90.023823
published as Phys. Rev. A 90, 023823 (2014) · 15 pages, 13 figures
openalex publication_date 2014/03/12 · arxiv created 2014/08/16 · arxiv updated 2014/08/19 · openalex created_date 2016/07/22 · openalex updated_date 2026/08/05
Parametric down-conversion (PDC) forms one of the basic building blocks for quantum optical experiments. However, the intrinsic multimode spectral-temporal structure of pulsed PDC often poses a severe hindrance for the direct implementation of the heralding of pure single-photon states or, for example, continuous-variable entanglement distillation experiments. To get rid of multimode effects narrowband frequency filtering is frequently applied to achieve a single-mode behavior. A rigorous theoretical description to accurately describe the effects of filtering on PDC, however, is still missing. To date, the theoretical models of filtered PDC are rooted in the discrete-variable domain and only account for filtering in the low gain regime, where only a few photon pairs are emitted at any single point in time. In this paper we extend these theoretical descriptions and put forward a simple model, which is able to accurately describe the effects of filtering on PDC in the continuous-variable domain. This developed straightforward theoretical framework enables us to accurately quantify the trade-off between suppression of higher-order modes, reduced purity and lowered Einstein-Podolsky-Rosen (EPR) entanglement, when narrowband filters are applied to multimode type-II PDC.