Quantum spatial dynamics of high-gain parametric down-conversion accompanied by cascaded up-conversion
arXiv:2011.11505 · doi:10.1103/PhysRevA.104.013702
Abstract
Quantum cascaded up-conversion (CUpC) of parametric down conversion (PDC) in a finite nonlinear -crystal is studied theoretically within parametric approximation. The exact solution for creation and annihilation operators presented in the form of Bogoliubov transformation is valid for the high-gain regime and explicitly includes the non-zero wavevector-mismatch both for the PDC and CUpC. With the use of characteristic equation parametric amplification and oscillating regimes are analysed for degenerate, three- and four-mode cases. We show that the parametric amplification exists under the fulfilment of the cascaded phase-matching conditions while both the PDC and CUpC processes are separately non-phase-matched. The influence of CUpC on quadrature squeezing of degenerate PDC is estimated.
References in corpus (20)
- Gaussian Quantum Information
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Detection of 15 dB Squeezed States of Light and their Application for the Absolute Calibration of Photoelectric Quantum Efficiency
- Photon temporal modes: a complete framework for quantum information science
- Modes and states in Quantum Optics
- Theory of quantum frequency conversion and type-II parametric down-conversion in the high-gain regime
- Theory of Two-Photon Interactions with Broadband Down-Converted Light and Entangled Photons
- Light-matter entanglement over 50 km of optical fibre
- Three-mode entanglement by interlinked nonlinear interactions in optical media
- Multistep Parametric Processes in Nonlinear Optics
- Higher order nonclassicalities in a codirectional nonlinear optical coupler: Quantum entanglement, squeezing and antibunching
- Quantum frequency conversion of memory-compatible single photons from 606 nm to the telecom C-band
- Properties of bright squeezed vacuum at increasing brightness
- Quantum frequency conversion between infrared and ultraviolet
- Bloch-Messiah reduction for twin beams of light
- Pump depletion in parametric down-conversion with low pump energies
- Bloch-Messiah decomposition and Magnus expansion for parametric down-conversion with monochromatic pump
- Spectral noise in quantum frequency down-conversion from the visible to the telecommunication C-band
- Demonstration of a bright and compact source of tripartite nonclassical light
- Entanglement and nonclassicality in four-mode Gaussian states generated via parametric down-conversion and frequency up-conversion