ABSTRACT Optical parametric oscillators are among the best‐developed quantum light sources, having already been adopted in precision measurement and underpinning various quantum computing and communication paradigms. Meanwhile, progress in photonic structures such as Bragg gratings has enabled distributed feedback oscillators to become widely established as classical laser sources with desirable properties, as well as enabling a new generation of precision optical sensors. Recent work in fabricating and processing photonic structures in nonlinear media opens the path to combining these two programs to realize distributed feedback parametric oscillators. Such devices have great potential as sources of quantum light, especially for squeezed vacuum, a crucial resource state in emerging quantum technologies. We present an analytic and fully quantum‐mechanical model of the dynamics of such devices. This approach yields the key properties of these sources, such as the parametric oscillation threshold, intracavity mode, tunability, and quantum statistics (including entanglement) of the output modes. We also discuss the application of these devices as quantum‐enhanced sensors. These results underpin future work on a versatile class of next‐generation quantum light sources.
ABSTRACT Optical parametric oscillators are among the best‐developed quantum light sources, having already been adopted in precision measurement and underpinning various quantum computing and communication paradigms. Meanwhile, progress in photonic structures such as Bragg gratings has enabled distributed feedback oscillators to become widely established as classical laser sources with desirable properties, as well as enabling a new generation of precision optical sensors. Recent work in fabricating and processing photonic structures in nonlinear media opens the path to combining these two programs to realize distributed feedback parametric oscillators. Such devices have great potential as sources of quantum light, especially for squeezed vacuum, a crucial resource state in emerging quantum technologies. We present an analytic and fully quantum‐mechanical model of the dynamics of such devices. This approach yields the key properties of these sources, such as the parametric oscillation threshold, intracavity mode, tunability, and quantum statistics (including entanglement) of the output modes. We also discuss the application of these devices as quantum‐enhanced sensors. These results underpin future work on a versatile class of next‐generation quantum light sources.
Fiber optical parametric oscillators are being busily investigated as sources of classical light, but are comparatively neglected as potential quantum light sources. Squeezed light is a crucial resource for emerging quantum technologies for computing, communications, and measurement. The direct generation of squeezed light inside optical fiber is of particular interest due to minimal material loss, desirable mode properties and compatibility with long-distance optical networks. Here, we describe a novel all-fiber continuous-wave optical parametric oscillator developed with the aim of generating squeezed light. Our device is based on a 10 cm Fabry-Perot cavity formed by two high-reflectivity fiber Bragg gratings written directly into a single section of photonic crystal fiber. This enables low-loss optical feedback and strongly resonance-enhanced four-wave mixing, with a cavity finesse of up to 400. We observe resonance-enhanced four-wave mixing in these devices, demonstrating a step towards their application as quantum light sources.
Engineering non-classical states of the electromagnetic field is a central quest for quantum optics(1,2). Beyond their fundamental significance, such states are indeed the resources for implementing various protocols, ranging from enhanced metrology to quantum communication and computing. A variety of devices can be used to generate non-classical states, such as single emitters, light-matter interfaces or non-linear systems(3). We focus here on the use of a continuous-wave optical parametric oscillator(3,4). This system is based on a non-linear χ(2) crystal inserted inside an optical cavity and it is now well-known as a very efficient source of non-classical light, such as single-mode or two-mode squeezed vacuum depending on the crystal phase matching. Squeezed vacuum is a Gaussian state as its quadrature distributions follow a Gaussian statistics. However, it has been shown that number of protocols require non-Gaussian states(5). Generating directly such states is a difficult task and would require strong χ(3) non-linearities. Another procedure, probabilistic but heralded, consists in using a measurement-induced non-linearity via a conditional preparation technique operated on Gaussian states. Here, we detail this generation protocol for two non-Gaussian states, the single-photon state and a superposition of coherent states, using two differently phase-matched parametric oscillators as primary resources. This technique enables achievement of a high fidelity with the targeted state and generation of the state in a well-controlled spatiotemporal mode.
Engineering non-classical states of the electromagnetic field is a central quest for quantum optics1,2. Beyond their fundamental significance, such states are indeed the resources for implementing various protocols, ranging from enhanced metrology to quantum communication and computing. A variety of devices can be used to generate non-classical states, such as single emitters, light-matter interfaces or non-linear systems3. We focus here on the use of a continuous-wave optical parametric oscillator3,4. This system is based on a non-linear χ2 crystal inserted inside an optical cavity and it is now well-known as a very efficient source of non-classical light, such as single-mode or two-mode squeezed vacuum depending on the crystal phase matching. Squeezed vacuum is a Gaussian state as its quadrature distributions follow a Gaussian statistics. However, it has been shown that number of protocols require non-Gaussian states5. Generating directly such states is a difficult task and would require strong χ3 non-linearities. Another procedure, probabilistic but heralded, consists in using a measurement-induced non-linearity via a conditional preparation technique operated on Gaussian states. Here, we detail this generation protocol for two non-Gaussian states, the single-photon state and a superposition of coherent states, using two differently phase-matched parametric oscillators as primary resources. This technique enables achievement of a high fidelity with the targeted state and generation of the state in a well-controlled spatiotemporal mode.
Squeezed light sources are crucial components of emerging quantum technologies for computing, communications, and measurement. The direct generation of squeezed light inside optical fibre is of particular interest due to minimal material loss, desirable mode properties and compatibility with long-distance optical networks. Squeezing of bright coherent-state laser pulses in fibre is regularly achieved via the Kerr effect, but this is not readily extensible to the continuous-wave (CW) and null-mean field regimes, and the maximum measurable squeezing is degraded by various noise processes around the common pump/signal wavelength [1].
The optical parametric oscillator is one of the most well-characterized devices in nonlinear optics, with many useful applications, especially as a frequency converter and as a wide-band amplifier. Novel discoveries made with these devices in the quantum domain include demonstrations of large amounts of both single-mode and two-mode squeezing, and, in the two-mode case, significant quantum intensity correlations between the two modes and quadrature correlations, which provided the first experimental demonstration of the original Einstein–Podolsky–Rosen (EPR) paradox. In this chapter, a systematic theory is developed of quantum fluctuations in the degenerate parametric oscillator. The quantum statistical effects produced by the degenerate parametric amplifier and oscillator have been intensely studied. As we have seen, the amount of transient squeezing produced in an ideal lossless parametric amplifier was calculated using asymptotic methods by Crouch and Braunstein. It was found to scale inversely with the square root of the initial pump photon number. When the system is put into a cavity, and driving and dissipation are introduced, we find that the steady state of a driven degenerate parametric oscillator bifurcates. There is a single steady state at low driving strengths, but, as the driving field increases, a threshold value is reached and the single state splits and forms two stable states. Below the threshold, a linearized analysis of squeezing in the quantum quadratures is possible; while above this threshold, or critical point, the tunneling time between the two states due to quantum fluctuations can be calculated.
A key element in the quickly developing science of photonic quantum information processing is quantum light sources. These sources are crucial for applications in quantum computing, quantum cryptography, and quantum communication because they can produce both single photons and entangled photon pairs. The efficiency, scalability, and performance of quantum light sources have been greatly enhanced by recent developments in four-wave mixing, spontaneous parametric down-conversion, and quantum dot technology. the most recent advancements in constructed quantum light sources, emphasizing how they help solve important problems including coherence, indistinguishability, and integration with current photonic systems. We explore how these sources can improve the fidelity and reliability of quantum circuits and how they could transform fault-tolerant quantum computing and secure communication networks in the future. In order to further the practical application of quantum technologies, the study also suggests potential paths for combining quantum light sources with scalable photonic systems.