Progress toward third-order parametric down-conversion in optical fibers

Cavanna, Andrea; Hammer, J.; Okoth, Cameron; Ortiz-Ricardo, E.; Cruz-Ramírez, Héctor; Garay-Palmett, Karina; U’Ren, Alfred B.; Frosz, Michael H.; Jiang, Xin; Joly, Nicolas Y.; Chekhova, Maria V.

doi:10.1103/physreva.101.033840

Cited by 23 publications

(15 citation statements)

References 37 publications

(48 reference statements)

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“…One important consequence is that the generation of nonclassical light "beyond photon pairs" is becoming commonplace [13][14][15][16][17][18][19][20][21]. A second consequence is that a more detailed com-parison of theory and experiment is now possible, since implementations of well-characterized integrated structures do not suffer from the uncertainties that can plague experiments with bulk systems, such as details of beam shape and propagation.…”

Section: Introductionmentioning

confidence: 99%

Beyond photon pairs: Nonlinear quantum photonics in the high-gain regime

Quesada,

Helt,

Menotti

et al. 2021

Preprint

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Integrated optical devices will play a central role in the future development of nonlinear quantum photonics. Here we focus on the generation of high-gain nonclassical light within them. Starting from the solid foundation provided by Maxwell's equations, we then move to applications by presenting a unified formulation that allows for a comparison of stimulated and spontaneous experiments in ring resonators and nanophotonic waveguides, and leads directly to the calculation of the quantum states of light generated in high-gain experiments.

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Section: Introductionmentioning

confidence: 99%

Beyond photon pairs: Nonlinear quantum photonics in the high-gain regime

Quesada,

Helt,

Menotti

et al. 2021

Preprint

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show abstract

“…[ 30 ] This would be a challenging, but worthwhile endeavor, and would most likely entail instead restricting to a subset of a continuous basis. Further improvements might consider alternative phase‐matching [ 49 ] and SPDC [ 50–52 ] conditions, and a generalization to time‐domain shaping [ 53,54 ] and boson sampling. [ 55 ]…”

Section: Outlook and Conclusionmentioning

confidence: 99%

Optimal Pump Shaping for Entanglement Control in Any Countable Basis

et al. 2021

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Controlling spatial mode entanglement of bi‐photon states has become paramount in quantum optics experiments, where a spontaneous parametric downconversion (SPDC) state is tailored into a desired state through control of the SPDC pump light. Particular pump shaping solutions exist but have been shown for only special cases, such as orbital angular momentum, and always at the expense of noise. Here, a basis‐independent approach to the pump shaping problem that crafts the problem in terms of an invertible tensor equation is presented, making it possible to determine the requisite pump profile for any desired downconversion joint probability spectrum, often analytically. It is first shown that this approach reproduces a number of prior results exactly and then go on to demonstrate results not possible with existing techniques, such as shaping quantum states in new bases and controlling the signal‐to‐noise ratio. It is believed that this approach is optimal as the solvable tensor equation can be tailored to focus on any desired state (sub)space and can be optimized with respect to a chosen norm. This work provides a universal approach to quantum state engineering through deterministic shaping of the SPDC pump light, making it a highly suitable workhorse of quantum optics experiments.

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“…Recently, the outstanding work of observing spontaneous TPG in a superconducting parametric cavity was reported by Sandbo Chang et al [30]. Optical fiber is also a potential candidate for preparing a spontaneous triple-photon state (TPS) [31]. In a fully degenerate configuration, the Wigner function of the TPS exhibits negativities [30,32,33], a clear signature of SG statistics, which is impossible to achieve by second-order down-conversion (SODC) and linear optics.…”

Section: Introductionmentioning

confidence: 99%

Non-Gaussian nature and entanglement of spontaneous parametric nondegenerate triple-photon generation

et al. 2021

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We theoretically demonstrate through numerical methods that the triple-photon state generated by threephoton spontaneous parametric down-conversion is a non-Gaussian Greenberger-Horne-Zeilinger state, showing super-Gaussian statistics. Interestingly, the degree of entanglement between the modes of the triple-photon state is stronger than that corresponding to the two-mode squeezed vacuum state produced by a quadratic Hamiltonian with the same parameters. Furthermore, we propose a model to prepare two-mode sub-Gaussian entangled states with a tunable negative Wigner function based on quadrature projection measurements. We find that these Gaussian projection measurements with outcomes X 1 not only improve the entanglement of the residual two modes but also introduce a Gaussian component, resulting in the coexistence of Gaussian and non-Gaussian entanglement.

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Progress toward third-order parametric down-conversion in optical fibers

Cited by 23 publications

References 37 publications

Beyond photon pairs: Nonlinear quantum photonics in the high-gain regime

Beyond photon pairs: Nonlinear quantum photonics in the high-gain regime

Optimal Pump Shaping for Entanglement Control in Any Countable Basis

Non-Gaussian nature and entanglement of spontaneous parametric nondegenerate triple-photon generation

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