Polarization and Spectral Properties of Biphotons

Chekhova, Maria V.

doi:10.1016/b978-0-444-53886-4.00004-6

Cited by 6 publications

(5 citation statements)

References 107 publications

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“…1a) can be changed by using different phase matching conditions. Indeed, the tilt α is given by tan α = −γ s /γ i , where γ s,i ≡ u −1 p −u −1 s,i , u p,s,i being the group velocities of the pump, signal, and idler photons [22]. In most cases, the tilt is negative, but for frequency-degenerate type-II phasematching in KDP crystal from a 415 nm pump, γ s = 0, hence a zero tilt can be realized [19].…”

Section: Introductionmentioning

confidence: 99%

Separable Schmidt modes of an entangled state

et al. 2014

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Section: Introductionmentioning

confidence: 99%

Separable Schmidt modes of an entangled state

et al. 2014

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“…The efficiency of the SPDC procedure depends on the input pump intensity, the type of the crystal, and the phase matching conditions. The energy conservation and the phase matching relations are, respectively, given by the following relations [9]…”

Section: Theorymentioning

confidence: 99%

The Impact of the Spectral Filter Bandwidth on the Spectral Entanglement and Indistinguishability of Photon Pairs of SPDC Process

Mohammadi

Arabanian

Dalafi

2018

IJOP

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In this paper, we have investigated the dependence of the spectral entanglement and indistinguishability of photon pairs produced by the spontaneous parametric downconversion (SPDC) procedure on the bandwidth of spectral filters used in the detection setup. The SPDC is a three-wave mixing process which occurs in a nonlinear crystal and generates entangled photon pairs and utilizes as one of the most useful resources in a variety of fields such as quantum computation, quantum cryptography, and quantum communication. The amount of the spectral entanglement and the indistinguishability of photon pairs are the two critical characteristics of the photon pairs determining their potential applications. The degree of the spectral entanglement of a quantum system, i.e. photon pairs, is determined by the entanglement entropy which is a measure of the system disorder. First, we derive the eigenvalue equation of reduced density operator of the signal and the idler photons in terms of the bandwidth of spectral filters. Then, by numerically solving the eigenvalue equation, we calculate the Schmidt coefficients for different values of the bandwidth of spectral filters. Finally, by calculating the entropy operator one can obtain the dependence of spectral entanglement of the photon pairs on filter bandwidth. The amount of indistinguishability of the photon pairs is measured by the visibility of the HOM diagram. Since the whole spectral information of the photon pairs exists in their two-photon mode function, using this function and the presented model we calculate the amount of indistinguishability by obtaining the visibility of the HOM diagram for different values of the bandwidth of the spectral filters. In this way, the dependence of the indistinguishability of the photon pairs on this quantity is reported.

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“…Subsequent fabrication steps included epoxy bonding and curing, substrate lapping and polishing, wet etching, and transferring the metasurface onto a transparent fused silica substrate. We chose GaAs because it possesses one of the highest second-order susceptibilities among traditional materials, c (2) = 400 to 500 pm/V, for the range of pump wavelengths involved in this work; these susceptibilities exceed those of ferroelectric nonlinear materials such as lithium niobate by more than an order of magnitude (24). The structure of the metasurfaces is shown in Fig.…”

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confidence: 99%

“…Thus, we should also expect the emitted SPDC photon pairs to 1 of 5 1 Max Planck Institute for the Science of Light, 91058 Erlangen, Germany. 2 Friedrich-Alexander-Universität Erlangen-Nürnberg, 91058 Erlangen, Germany. 3 Center for Integrated Nanotechnologies, Sandia National Laboratories, Albuquerque, NM 87185, USA.…”

mentioning

confidence: 99%

“…Optical quantum state engineering mainly relies on nonlinear optical effects such as spontaneous parametric downconversion (SPDC) or spontaneous four-wave mixing (SFWM). These effects have been used to create a vast variety of photonic quantum states, including single ( 1 ) and entangled ( 2 ) photons, squeezed states ( 3 ), and cluster states ( 4 – 6 ). However, both SPDC and SFWM in conventional nonlinear crystals and waveguides require strict momentum conservation for the involved photons, which strongly limits the versatility of the states they produce.…”

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Resonant metasurfaces for generating complex quantum states

Santiago-Cruz

Gennaro

Mitrofanov

et al. 2022

Science

127

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Quantum state engineering, the cornerstone of quantum photonic technologies, mainly relies on spontaneous parametric downconversion and four-wave mixing, where one or two pump photons spontaneously decay into a photon pair. Both of these nonlinear effects require momentum conservation for the participating photons, which strongly limits the versatility of the resulting quantum states. Nonlinear metasurfaces have subwavelength thickness and allow the relaxation of this constraint; when combined with resonances, they greatly expand the possibilities of quantum state engineering. Here, we generated entangled photons via spontaneous parametric downconversion in semiconductor metasurfaces with high–quality factor, quasi-bound state in the continuum resonances. By enhancing the quantum vacuum field, our metasurfaces boost the emission of nondegenerate entangled photons within multiple narrow resonance bands and over a wide spectral range. A single resonance or several resonances in the same sample, pumped at multiple wavelengths, can generate multifrequency quantum states, including cluster states. These features reveal metasurfaces as versatile sources of complex states for quantum information.

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Polarization and Spectral Properties of Biphotons

Cited by 6 publications

References 107 publications

Separable Schmidt modes of an entangled state

Separable Schmidt modes of an entangled state

The Impact of the Spectral Filter Bandwidth on the Spectral Entanglement and Indistinguishability of Photon Pairs of SPDC Process

Resonant metasurfaces for generating complex quantum states

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