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Generation of frequency-bin entangled two-photon state via cascaded second-order nonlinear processes

Zichang Zhang, Chenzhi Yuan, Ruiming Zhang, Hao Yu, Guangwei Deng, Heng Zhou, You Wang, Hai‐Zhi Song, Qiang Zhou

Published Nov 19, 2019• 0 citations
Publisher

Abstract

In this work, we propose and demonstrate the frequency-bin entangled two-photon state via cascaded second harmonic generation and spontaneous parametric down conversion (SHG-SPDC) processes in a single piece of PPLN waveguide. Our scheme is based on all fiber-pigtailed components at 1.5 μm telecom band. Two frequency-bins at 1531.34 nm and 1548.91 nm with bandwidth of 1.04 nm are prepared to be entangled. The frequency entanglement property of our generated two-photon states is measured by spatial two-photon quantum beating. A two-photon beating curve with a visibility of 87.92±0.47% is obtained, showing a good property of frequency-bin entanglement.

DOI
10.1117/12.2537598

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In this work, we propose and demonstrate the frequency-bin entangled two-photon state via cascaded second harmonic generation and spontaneous parametric down conversion (SHG-SPDC) processes in a single piece of PPLN waveguide. Our scheme is based on all fiber-pigtailed components at 1.5 μm telecom band. Two frequency-bins at 1531.34 nm and 1548.91 nm with bandwidth of 1.04 nm are prepared to be entangled. The frequency entanglement property of our generated two-photon states is measured by spatial two-photon quantum beating. A two-photon beating curve with a visibility of 87.92±0.47% is obtained, showing a good property of frequency-bin entanglement.
Abstract In this paper, we demonstrate the generation of high-performance entangled photon-pairs in different degrees of freedom from a single piece of fiber pigtailed periodically poled LiNbO 3 (PPLN) waveguide. We utilize cascaded second-order nonlinear optical processes, i.e., second-harmonic generation (SHG) and spontaneous parametric downconversion (SPDC), to generate photon-pairs. Previously, the performance of the photon-pairs is contaminated by Raman noise photons. Here by fiber-integrating the PPLN waveguide with noise-rejecting filters, we obtain a coincidence-to-accidental ratio (CAR) higher than 52,600 with photon-pair generation and detection rate of 52.36 kHz and 3.51 kHz, respectively. Energy-time, frequency-bin, and time-bin entanglement is prepared by coherently superposing correlated two-photon states in these degrees of freedom, respectively. The energy-time entangled two-photon states achieve the maximum value of CHSH-Bell inequality of S = 2.71 ± 0.02 with two-photon interference visibility of 95.74 ± 0.86%. The frequency-bin entangled two-photon states achieve fidelity of 97.56 ± 1.79% with a spatial quantum beating visibility of 96.85 ± 2.46%. The time-bin entangled two-photon states achieve the maximum value of CHSH-Bell inequality of S = 2.60 ± 0.04 and quantum tomographic fidelity of 89.07 ± 4.35%. Our results provide a potential candidate for the quantum light source in quantum photonics.
Discrete frequency-bin entanglement is an essential resource for applications in quantum information processing. In this Letter, we propose and demonstrate a scheme to generate discrete frequency-bin entanglement with a single piece of periodically poled lithium niobate waveguide in a modified Sagnac interferometer. Correlated two-photon states in both directions of the Sagnac interferometer are generated through cascaded second-order optical nonlinear processes. A relative phase difference between the two states is introduced by changing the polarization state of pump light, thus manipulating the two-photon state at the output of the Sagnac interferometer. The generated two-photon state is sent into a fiber polarization splitter, and then a pure discrete frequency-bin entangled two-photon state is obtained by setting the pump light. The frequency entanglement property is measured by a spatial quantum beating with a visibility of 96.0±6.1%. The density matrix is further obtained with a fidelity of 98.0±3.0% to the ideal state. Our demonstration provides a promising method for the generation of pure discrete frequency-bin entanglement at the telecom band, which is desired in quantum photonics.
By using cascaded second-order nonlinear optical processes in a piece of periodically poled lithium niobate waveguide, we generate 1.5 μ\muμ m discrete frequency-bin entangled two-photon state with a spatial quantum beating visibility of 93.0 ± 5.2%.
The indistinguishable photon-pair sources are valuable in many quantum information applications, such as quantum microscopy, quantum synchronization, and quantum metrology. Based on cascaded sum-frequency generation (SFG) and spontaneous parametric downconversion (SPDC) processes, we propose and demonstrate a scheme for the generation of spatially separated broadband indistinguishable photon pairs in the telecom band by using only one piece of a fiber-pigtailed periodically poled lithium niobate waveguide in a modified Sagnac loop. The measured joint spectral intensity of the generated entangled photon pairs is 7.27 THz (57.6 nm) at the full width at half-maximum (FWHM). The Hong–Ou–Mandel (HOM) interference of the generated broadband photons is measured with bandwidths of 5.35 THz (∼42.8 nm) and 100 GHz (∼0.8 nm), respectively. Visibility of 94.0±1.4% is achieved with the bandwidth of 5.35 THz, demonstrating good indistinguishability of the generated two-photon states, which could benefit the development of quantum microscopy and quantum synchronization.
Cascaded second-order nonlinear processes, specifically second-harmonic generation (SHG) and the following spontaneous parametric down-conversion (SPDC) in a periodically poled lithium niobate (PPLN) waveguide represent significant methods for generating correlated photon pairs. To date, studies on the quantum interference characteristics of entangled photon pairs generated via cascaded SHG and type-0 SPDC process have not been reported. To address this issue, we systematically derive the theoretical expression for the coincidence counts of energy-time entangled photon pairs generated by this nonlinear process after passing through an optical fiber interferometer. The theoretical analysis reveals that the two-photon interference process within the interferometer primarily comprises Hong-Ou-Mandel (HOM) interference and N00N state interference. Experimental results subsequently validate these theoretical findings. In our experiments, a 1550.12 nm laser was used to pump the cascaded SHG/SPDC process in a PPLN waveguide, which satisfies the type-0 quasi-phase matching condition and generates broadband correlated photons in the C-band with a full width at half maximum (FWHM) of approximately 17.5 nm. After being split, the correlated photon pairs were directed into a fiber interferometer. A short-term interference visibility of 76.06% was measured, co-determined by the phase-insensitive HOM effect and the phase-sensitive N00N state interference. Upon increasing the measurement accumulation time, the interference visibility reduced to 49.32%, demonstrating the elimination of N00N state interference under longterm averaging, which is consistent with theoretical predictions. This scheme achieves all-fiber-coupled generation of correlated photon pairs, employing standard fiber components in the optical communication band. This approach significantly reduces the complexity of optical coupling links, thereby offering a feasible pathway for the miniaturization and integration of entangled photon sources and quantum interferometers.
Entangled photon pairs are one of the most important resources for the development of quantum communication technologies. In order to produce pulsed photon pairs in the telecommunication band from 1.5 mum pump light, most of the previous experiments used two successive periodically poled lithium niobate (PPLN) waveguides. We report what we believe to be a new method using cascaded second-order nonlinearity in a single PPLN waveguide to produce high-purity time-bin entangled photon pairs. We confirmed the generation of entanglement through a two-photon interference experiment showing a coincidence fringe with a visibility of up to 97%.