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arXiv:quant-ph/0106122 · Physical Review A

Cascaded ultrabright source of polarization-entangled photons

G. Bitton, Warren P. Grice, J. Moreau, Lance Zhang

Published Jun 3, 2002• 17 citations
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Abstract

An ultrabright source of polarization-entangled photons has been realized using type-II phase matching in the spontaneous parametric down-conversion process in two cascaded crystals. The optical axes of the crystals are aligned in such a way that the extraordinarily (ordinarily) polarized cone from one crystal overlaps with the ordinarily (extraordinarily) polarized cone from the second crystal. This spatial overlapping removes the association between the polarization and the output angle of the photons that exists in a single type-II down-conversion process. Hence, entanglement of photon pairs originating from any conjugate points on the output cones is possible if a suitable optical delay line is used. This delay line is particularly simple and easy to implement.

DOI
10.1103/physreva.65.063805

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An ultrabright source of polarization-entangled photons has been realized using type-II phase matching in the spontaneous parametric down-conversion process in two cascaded crystals. The optical axes of the crystals are aligned in such a way that the extraordinarily (ordinarily) polarized cone from one crystal overlaps with the ordinarily (extraordinarily) polarized cone from the second crystal. This spatial overlapping removes the association between the polarization and the output angle of the photons that exists in a single type-II down-conversion process. Hence, entanglement of photon pairs originating from any conjugate points on the output cones is possible if a suitable optical delay line is used. This delay line is particularly simple and easy to implement.
The need for spatial and spectral filtering in the generation of polarization entanglement is eliminated by combining two coherently driven type-II spontaneous parametric down-converters. The resulting ultrabright source emits photon pairs that are polarization entangled over the entire spatial cone and spectrum of emission. We detect a flux of $\ensuremath{\sim}12 000$ polarization-entangled pairs/s per mW of pump power at 9090%90 quantum-interference visibility, and the source can be temperature tuned for 5nm5\phantom{\rule{0.3em}{0ex}}\text{nm}5nm around frequency degeneracy. The output state is actively controlled by precisely adjusting the relative phase of the two coherent pumps.
We develop a Sagnac-type source of ultrabright, non-degenerate, polarization-entangled photon pair that is highly stable and compact simultaneously. We use a 20 mm20~\text{mm}20 mm long PPLN bulk crystal which, upon pumping continuously with 532 nm532~\text{nm}532 nm wavelength, produces polarization-entangled photon-pairs of 785 nm785~\text{nm}785 nm signal and 1651 nm1651~\text{nm}1651 nm idler wavelengths via the type-0 spontaneous parametric down-conversion (SPDC) process. All optical components used in the setup are off-the-shelf components, readily available commercially; hence, no custom-designed or costly multi-wavelength polarization optics are required. At the same time, long-term phase stability is achieved without any additional active stabilization; due to the geometry of our Sagnac-type design. We also report one of the highest brightness of non-degenerate polarization-entangled photon pairs available in the literature. Even with a very low pump power of 0.034 mW0.034~\text{mW}0.034 mW, we detect a coincidence rate of (6.96±0.03)×104(6.96\pm 0.03)\times10^{4}(6.96±0.03)×104 entangled pairs/sec/mW (averaged over three polarization-basis measurements: H/V, D/A, and R/L basis). The source's brightness is calculated to be (6.17±0.04)×106(6.17\pm 0.04)\times10^{6}(6.17±0.04)×106 entangled pairs/sec/mW for the signal line width of 0.4 nm0.4~\text{nm}0.4 nm. From the raw coincidence counts (without any background coincidence correction), the fidelity of the entangled state is measured to be (96.72±0.01)%(96.72\pm 0.01)\%(96.72±0.01)% with a concurrence of (94.68±0.20)%(94.68\pm 0.20)\%(94.68±0.20)%. Bell-CHSH inequality violation is reported as S=2.71±0.06S=2.71\pm 0.06S=2.71±0.06.
A periodically poled lithium niobate (PPLN) crystal has been used as an efficient source of non-collinearly generated polarization-entangled photon pairs at 810 and 1550 nm. The PPLN crystal was endowed with a specially designed poling pattern and the entangled photons were generated via the nonlinear optical process of spontaneous parametric down conversion (SPDC). A novel design based on overlapping two concurrent type-I quasi-phase-matching structures in a single PPLN crystals produced correlated pairs of alternatively polarized photons in largely separated spectral regions. The phase of the resulting two-photon state is directly linked to parameters of the nonlinear grating. Continuous tunability of the generated Bell state, from Phi(+) to Phi(-), has been demonstrated by translating a slightly wedged crystal perpendicular to the pump beam.
Entangled photon pairs play a crucial role in emerging quantum technologies, acting as tamper-proof padlocks in secure quantum communication, ultra-precise probes in quantum metrology and high-fidelity information carriers in photonic quantum computing. Amongst the many technological possibilities for generating photon pairs, sources based on spontaneous parametric down-conversion (SPDC) in second-order nonlinear crystals are still the workhorse tool in quantum optics laboratories, and more recently even in long-distance quantum communication with satellites. SPDC is a widely used method to create entangled photon pairs. The number of photon pairs that can be detected in a particular choice of collection modes, typically being optical single-mode fibers, depends critically on the spatial characteristics of the multi-mode SPDC emission as well as the particular beam waist of the collection modes. While several studies have already addressed the issue of optimal fiber coupling of SPDC photons in theory and experiment, the results of these studies arrive at different conclusions. Here, we present the results of a comprehensive experimental study on the optimal collection of photon pairs into single-mode optical fibers. Our approach is based on quasi-phase-matched type II SPDC from a periodically poled KTiOPO4 (ppKTP) crystal. We discuss the influence of pump and collection focal parameters on the spectral brightness and heralding efficiency, as well as practical issues of alignment tolerances into an optical single mode fiber. Further, Using two-photon interference (Hong-Ou-Mandel interference), we assess the spectral bandwidth of the photon pairs for variable crystal lengths. The results are in good agreement with our theoretical model, thus providing the recipe of building ultra bright and stable entangled photon sources.