Introduction to the Absolute Brightness and Number Statistics in Spontaneous Parametric Down-Conversion
arXiv:1807.10885 · doi:10.1088/2040-8986/ab05a8
Abstract
As a tutorial, we examine the absolute brightness and number statistics of photon pairs generated in Spontaneous Parametric Down-Conversion (SPDC) from first principles. In doing so, we demonstrate how the diverse implementations of SPDC can be understood through a single common framework, and use this to derive straightforward formulas for the biphoton generation rate (pairs per second) in a variety of different circumstances. In particular, we consider the common cases of both collimated and focused gaussian pump beams in a bulk nonlinear crystal, as well as in nonlinear waveguides and micro-ring resonators. Furthermore, we examine the number statistics of down-converted light using a non-perturbative approximation (the multi-mode squeezed vacuum), to provide quantitative formulas for the relative likelihood of multi-pair production events, and explore how the quantum state of the pump affects the subsequent statistics of the downconverted light. Following this, we consider the limits of the undepleted pump approximation, and conclude by performing experiments to test the effectiveness of our theoretical predictions for the biphoton generation rate in a variety of different sources.
arXiv comment31 pages, 10 figures
References in corpus (20)
- Spatial correlations in parametric down-conversion
- Optimal Co-linear Gaussian Beams for Spontaneous Parametric Down-Conversion
- Introduction to the Transverse Spatial Correlations in Spontaneous Parametric Down-Conversion through the Biphoton Birth Zone
- Multistep Parametric Processes in Nonlinear Optics
- Effects of time ordering in quantum nonlinear optics
- Photon Number Statistics of Multimode Parametric Down-Conversion
- Absolute emission rates of Spontaneous Parametric Down Conversion into single transverse Gaussian modes
- Reducing multi-photon rates in pulsed down-conversion by temporal multiplexing
- Gaussian modeling and Schmidt modes of SPDS biphoton states
- An Introduction to the Quantum Theory of Nonlinear Optics
- Why you should not use the electric field to quantize in nonlinear optics
- The Trilinear Hamiltonian: A Zero Dimensional Model of Hawking Radiation from a Quantized Source
- Quantum Input-Output Theory for Optical Cavities with Arbitrary Coupling Strength: Application to Two-Photon Wave-Packet Shaping
- A quantum optical description of losses in ring resonators based on field operator transformations
- Alternative approach to electromagnetic field quantization in nonlinear and inhomogeneous media
- Photon pair generation in a lossy microring resonator. I. Theory
- Parametric down conversion with a depleted pump as a model for classical information transmission capacity of quantum black holes
- Photon pair generation in a lossy microring resonator. II. Entanglement in the output mixed Gaussian squeezed state
- Unity-Efficiency Parametric Down-Conversion via Amplitude Amplification
- Frequency and temporal entanglement of biphoton states in spontaneous parametric down conversion with a short-pulse pump
Cited by in corpus (34)
- Quantum cryptography with highly entangled photons from semiconductor quantum dots
- Ultra-bright multiplexed energy-time entangled photon generation from lithium niobate on insulator chip
- Enhancing quantum cryptography with quantum dot single-photon sources
- High-rate intercity quantum key distribution with a semiconductor single-photon source
- GaAs quantum dots grown by droplet etching epitaxy as quantum light sources
- Deconstructing effective non-Hermitian dynamics in quadratic bosonic Hamiltonians
- Pathways for entanglement based quantum communication in the face of high noise
- Efficient single-photon pair generation by spontaneous parametric down-conversion in nonlinear plasmonic metasurfaces
- Polarization compensation methods for quantum communication networks
- Quantifying Tri-partite Entanglement with Entropic Correlations
- Beyond the four-level model: Dark and hot states in quantum dots degrade photonic entanglement
- A multipair-free source of entangled photons in the solid state
- Entanglement generation in a quantum network with finite quantum memory lifetime
- Design of mid-infrared entangled photon sources using lithium niobate
- Heralded generation of entanglement with photons
- Understanding photoluminescence in semiconductor Bragg-reflection waveguides: Towards an integrated, GHz-rate telecom photon pair source
- Quantum stochastic communication via high-dimensional entanglement
- Time-resolved purification of photon pairs from ultrasmall sources
- Postselection-free controlled generation of a high-dimensional orbital-angular-momentum entangled state
- Photon pair generation via down-conversion in III-V semiconductor microrings: modal dispersion and quasi-phase matching
- Optimal focusing conditions for bright spontaneous parametric down-conversion sources
- Cumulative generation of maximal entanglement between spectrally distinct qubits using squeezed light
- Dependence of the photon statistics of down-converted field-modes on the photon statistics of pump field-mode
- Robust and bright polarization-entangled photon sources exploiting non-critical phase matching without periodic poling
- Structured position-momentum entangled two-photon fields
- Unconditional remote entanglement using second-harmonic generation and twin two-mode squeezed vacuum states
- Principles for Optimizing Quantum Transduction in Piezo-Optomechanical Systems
- Full time-dependent counting statistics of highly entangled biphoton states
- Heralded photonic graph states with inefficient quantum emitters
- Spectrally Resolved Higher Order Photon Statistics of Spontaneous Parametric Down Conversion
- Developing a practical model for noise in entangled photon detection
- Mid-infrared pure-state quantum light source based on lithium niobate waveguides
- Bypassing the filtering challenges in microwave-optical quantum transduction through optomechanical four-wave mixing
- State Engineering via Nonlinear Interferometry with Linear Spectral Phases