Off-resonant emission of photon pairs in nonlinear optical cavities

Abstract

Cavity-assisted spontaneous parametric down-conversion (SPDC) and spontaneous four-wave mixing (SFWM) in nonlinear optical materials are practical and versatile methods to generate narrowband time-energy entangled photon pairs. Time-energy entangled photons with tailored spectro-temporal properties are particularly useful for efficient quantum optical interfaces. In this work we study the generation of photon pairs in cavity-assisted SPDC and SFWM for the general case of off-resonant conversion, namely, when the frequencies of the generated photons do not match the cavity resonances. Such a frequency mismatch in particular depends on temperature and requires an additional control in the experiment. First, we propose a generic model, for description of cavity-assisted SPDC and SFWM. We show that in both processes the mismatch reduces the generation rate of photons, distorts the spectrum and the auto-correlation function of the generated fields, as well as affects the photon generation dynamics. Second, we verify the results experimentally using parametric generation of photon pairs in a nonlinear whispering gallery mode resonator (WGMR) as an experimental platform with controlled frequency mismatch. Our work reveals the role of the frequency mismatch in the photon generation process and shows a way to control it. Obtained results constitute one more step in the direction of full control over the spectro-temporal properties of entangled photon pairs and the heralded generation of single-photon pulses with a tailored temporal mode.

References in corpus (25)

• The Quantum Internet
• Heralded Generation of Ultrafast Single Photons in Pure Quantum States
• A Single-Atom Quantum Memory
• Nonlinear and Quantum Optics with Whispering Gallery Resonators
• Naturally-phasematched second harmonic generation in a whispering gallery mode resonator
• A Versatile Source of Single Photons for Quantum Information Processing
• Low-threshold Optical Parametric Oscillations in a Whispering Gallery Mode Resonator
• High purity bright single photon source
• Ultranarrow-Band Photon Pair Source Compatible with Solid State Quantum Memories and Telecommunication Networks
• Direct characterization of ultrafast energy-time entangled photon pairs
• Truly unentangled photon pairs without spectral filtering
• Direct generation of genuine single-longitudinal-mode narrowband photon pairs
• The Mobius function is strongly orthogonal to nilsequences
• Coherence measures for heralded single-photon sources
• Identifying modes of large whispering-gallery mode resonators from the spectrum and emission pattern
• A tunable narrowband entangled photon pair source for resonant single-photon single-atom interaction
• Highly efficient generation of single-mode photon pairs using a crystalline whispering gallery mode resonator
• Heralded temporal shaping of single photons enabled by entanglement
• Efficient coupling to an optical resonator by exploiting time-reversal symmetry
• Quantum coherent control of highly multipartite continuous-variable entangled states by tailoring parametric interactions
• Shaping a single photon without interacting with it
• Time gating of heralded single photons for atomic memories
• Frequency tuning of a triply-resonant whispering-gallery mode resonator to MHz wide transitions for proposed quantum repeater schemes
• A versatile design for resonant guided-wave parametric down-conversion sources for quantum repeaters
• Theory of high gain cavity-enhanced spontaneous parametric down-conversion