Modelling and optimization of photon pair sources based on spontaneous parametric down-conversion
arXiv:0905.0009 · doi:10.1103/PhysRevA.80.013811
Abstract
We address the problem of efficient modelling of photon pairs generated in spontaneous parametric down-conversion and coupled into single-mode fibers. It is shown that when the range of relevant transverse wave vectors is restricted by the pump and fiber modes, the computational complexity can be reduced substantially with the help of the paraxial approximation, while retaining the full spectral characteristics of the source. This approach can serve as a basis for efficient numerical calculations, or can be combined with analytically tractable approximations of the phase matching function. We introduce here a cosine-gaussian approximation of the phase matching function which works for a broader range of parameters than the gaussian model used previously. The developed modelling tools are used to evaluate characteristics of the photon pair sources such as the pair production rate and the spectral purity quantifying frequency correlations. Strategies to generate spectrally uncorrelated photons, necessary in multiphoton interference experiments, are analyzed with respect to trade-offs between parameters of the source.
References in corpus (19)
- Quantum Cryptography
- Review article: Linear optical quantum computing
- Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolski-Rosen Channels
- Heralded Generation of Ultrafast Single Photons in Pure Quantum States
- Long distance quantum teleportation of qubits from photons at 1300 nm to photons at 1550 nm wavelength
- High efficiency entangled photon pair collection in type II parametric fluorescence
- Experimental interference of independent photons
- Quantum interference with photon pairs created in spatially separated sources
- Effective fiber-coupling of entangled photons for quantum communication
- Optimal focusing for maximal collection of entangled narrow-band photon pairs into single-mode fibers
- Absolute emission rates of Spontaneous Parametric Down Conversion into single transverse Gaussian modes
- Spectral density matrix of a single photon measured
- Joint spectrum of photon pairs measured by coincidence Fourier spectroscopy
- Spatiotemporal correlations in entangled photons generated by spontaneous parametric down conversion
- Efficient fiber coupling of down-conversion photon pairs
- Theory and experiment of entanglement in a quasi-phase-matched two-crystal source
- Generation of Fourier transform limited heralded single photons
- Optimal coupling of entangled photons into single-mode optical fibers
- Parametric down-conversion from a wave-equations approach: geometry and absolute brightness
Cited by in corpus (24)
- Optimal Co-linear Gaussian Beams for Spontaneous Parametric Down-Conversion
- Increasing the dimension in high-dimensional two-photon orbital angular momentum entanglement
- Multiplexed single-photon state preparation using a fibre-loop architecture
- Reducing detection noise of a photon pair in a dispersive medium by controlling its spectral entanglement
- Demonstration of spectral correlation control in a source of polarization entangled photon pairs at telecom wavelength
- Experimental high fidelity six-photon entangled state for telecloning protocols
- Down-conversion source of positively spectrally correlated and decorrelated photon pairs at telecom wavelength
- Single-photon hologram of a zero-area pulse
- Azimuthal entanglement and multichannel Schmidt-type decomposition of non-collinear biphotons
- Energy-time and time-bin entanglement: past, present and future
- Entanglement Swapping for Generation of Heralded Time-Frequency-Entangled Photon Pairs
- Bi-photon propagation control with optimized wavefront by means of Adaptive Optics
- Type I parametric down conversion of highly focused Gaussian beams in finite length crystals
- Symmetry allows for distinguishability in totally destructive many-particle interference
- Spectral correlation in down-converted photon pairs at telecom wavelength
- Spatially correlated photonic qutrit pairs using pump beam modulation technique
- Optimal photon pairs for quantum communication protocols
- Quantum key distribution with realistic heralded single photon sources
- Optimal focusing conditions for bright spontaneous parametric down-conversion sources
- Maximizing the Validity of the Gaussian Approximation for the biphoton State from Parametric Downconversion
- Towards correcting atmospheric beam wander via pump beam control in a down conversion process
- Remote temporal wavepacket narrowing
- Generation of spatially pure photon pairs in a multimode nonlinear waveguide using intermodal dispersion
- Dispersion measurement method with down conversion process