Degenerate Squeezing in Waveguides: A Unified Theoretical Approach
arXiv:1910.06873 · doi:10.1088/2515-7647/ab87fc
Abstract
We consider pulsed-pump spontaneous parametric downconversion (SPDC) as well as pulsed single- and dual-pump spontaneous four-wave mixing processes in waveguides within a unified Hamiltonian theoretical framework. Working with linear operator equations in -space, our approach allows inclusion of linear losses, self- and cross-phase modulation, and dispersion to any order. We describe state evolution in terms of second-order moments, for which we develop explicit expressions. We use our approach to calculate the joint spectral amplitude of degenerate squeezing using SPDC analytically in the perturbative limit, benchmark our theory against well-known results in the limit of negligible group velocity dispersion, and study the suitability of recently proposed sources for quantum sampling experiments.
arXiv commentAll of the Python code used in this work is available on GitHub https://github.com/XanaduAI/kerr-squeezing
References in corpus (34)
- Gaussian Quantum Information
- Advances in Photonic Quantum Sensing
- Heralded Generation of Ultrafast Single Photons in Pure Quantum States
- Gaussian Boson Sampling
- 30 years of squeezed light generation
- Continuous-Variable Quantum Key Distribution with Gaussian Modulation -- The Theory of Practical Implementations
- Performance and structure of single-mode bosonic codes
- Generation and sampling of quantum states of light in a silicon chip
- A detailed study of Gaussian Boson Sampling
- No imminent quantum supremacy by boson sampling
- Theory of quantum frequency conversion and type-II parametric down-conversion in the high-gain regime
- Using Gaussian Boson Sampling to Find Dense Subgraphs
- Gaussian Boson Sampling using threshold detectors
- Optimised generation of heralded Fock states using parametric down conversion
- Limits on the heralding efficiencies and spectral purities of spectrally-filtered single photons from photon pair sources
- A quantum hardware-induced graph kernel based on Gaussian Boson Sampling
- Experimental Gaussian Boson Sampling
- Scalable squeezed light source for continuous variable quantum sampling
- Four-photon scattering in birefringent fibers
- Quantum approximate optimization with Gaussian boson sampling
- Exact simulation of Gaussian Boson Sampling in polynomial space and exponential time
- Point Processes with Gaussian Boson Sampling
- Theory of high-gain twin-beam generation in waveguides: from Maxwell's equations to efficient simulation
- Bloch-Messiah reduction for twin beams of light
- Why you should not use the electric field to quantize in nonlinear optics
- Effect of loss on photon-pair generation in nonlinear waveguides arrays
- Spontaneous parametric downconversion in waveguides: What's loss got to do with it?
- Quantum-State Purity of Heralded Single Photons Produced from Frequency-Anti-Correlated Biphotons
- On the effects of self- and cross-phase modulation on photon purity for four-wave mixing photon-pair sources
- Classical benchmarking of Gaussian Boson Sampling on the Titan supercomputer
- The effects of filtering on the purity of heralded single photons from parametric sources
- Complete evolution equation for the joint amplitude in photon-pair generation
- Derivation of the quantum-optical master equation based on coarse-graining of time
- Speedup in Classical Simulation of Gaussian Boson Sampling
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- Beyond photon pairs: Nonlinear quantum photonics in the high-gain regime
- Theory of high-gain twin-beam generation in waveguides: from Maxwell's equations to efficient simulation
- Fast simulation of bosonic qubits via Gaussian functions in phase space
- Generalized approach for enabling multimode quantum optics
- Onset of non-Gaussian quantum physics in pulsed squeezing with mesoscopic fields
- Waveguided sources of consistent, single-temporal-mode squeezed light: the good, the bad, and the ugly
- Efficient simulation of ultrafast quantum nonlinear optics with matrix product states
- Nonlinear Quantum Behavior of Ultrashort-Pulse Optical Parametric Oscillators
- Theory of Multimode Squeezed Light Generation in Lossy Media
- Non-perturbative theory of spontaneous parametric down-conversion in open and dispersive optical systems
- Gain-induced group delay in spontaneous parametric down-conversion
- Perfect pulsed inline twin-beam squeezers
- A simple way to incorporate loss when modelling multimode entangled state generation
- Ultrashort-pulse-pumped, single-mode type-0 squeezers in lithium niobate nanophotonics