Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:0708.2242 · Physical Review A

Antisymmetric entangled two-photon states generated in nonlinear GaN∕AlN photonic-band-gap structures

Jan Peřina, Marco Centini, Concita Sibilia, M. Bertolotti, Michael Scalora

Published Jan 8, 2007• 21 citations
arXivHTMLPDF

Abstract

The properties of an entangled two-photon state antisymmetric in frequencies are studied. At a beam splitter, two entangled photons are perfectly anticorrelated. In addition, they cannot be detected at the same time instant despite the fact that their detection times are confined to a narrow time window, i.e., they are temporally antibunched. Using nonlinear photonic-band-gap structures made of $\mathrm{Ga}\mathrm{N}∕\mathrm{Al}\mathrm{N}$, two schemes for generating such states are described.

DOI
10.1103/physreva.75.013805

Related papers

Nonlinear Photonic-Band-Gap Structures Made of GaN/AlN as a Source of Entangled Two-Photon States

Jan Peřina, Marco Centini, Concita Sibilia +2 more

We have developed a vectorial quantum model of spontaneous parametric down-conversion in one-dimensional nonlinear photonic-band-gap structures. According to the obtained results these structures represent a promising perspective source of entangled two-photon states. In particular, entangled two-photon states antisymmetric in frequencies can be generated. Such entangled photons behave in the way resembling two fermions

International Conference on Transparent Optical Networks•Jun 1, 2006•1 citation

Transverse Properties of Entangled Two-photon States Generated in Nonlinear Photonic-band-gap Structures

Jan Peřina, Marco Centini, Concita Sibilia +2 more

Transverse characteristics (intensity profiles, correlation area) of the spontaneously generated down-converted fields have been studied for structures composed of up to several tens of thin GaN/AlN layers using a vectorial quantum model.

The Rochester Conferences on Coherence and Quantum Optics and the Quantum Information and Measurement meeting•Jan 1, 2007•0 citations

Generation of entangled photons with a second-order nonlinear photonic crystal and a beam splitter

Hiroo Azuma

Abstract We discuss the generation of entangled photons using a nonlinear photonic crystal and beam splitter. In our method, the photonic crystal is assumed to be composed of a material with a large second-order nonlinear optical susceptibility χ ( 2 ) . Our proposal relies on two facts: (1) A nonlinear photonic crystal changes coherent incident light into squeezed light. (2) A beam splitter transforms the squeezed light into entangled light beams flying in two different directions. We estimate the yield efficiency of pairs of entangled photons per pulse of the very weak coherent light for our method at 0.0783 for a specific concrete example. Our method is more effective because the conversion efficiency (entangled biphotons per incident pump photons) in the spontaneous parametric downconversion is of the order of 4 × 10 − 6 . The only drawback is that it requires very fine tuning of the frequency of signal photons fed into the photonic crystal; for example, an adjustment is given by Δ ν = 3.11 × 10 8 Hz for the signal light of ν = 3.23 × 10 14 Hz. We investigate the application of entangled photons produced by our method to the BB84 quantum key distribution protocol, and we explore how to detect an eavesdropper. We suggest that our method is promising for decoy-state quantum key distribution using weak coherent light.

arXiv:2111.00159•Journal of Physics D Applied Physics•May 12, 2022•5 citations

Properties of entangled photon pairs generated in one-dimensional nonlinear photonic-band-gap structures

Jan Peřina, Marco Centini, Concita Sibilia +2 more

We have developed a rigorous quantum model of spontaneous parametric down-conversion in a nonlinear 1D photonic-band-gap structure based upon expansion of the field into monochromatic plane waves. The model provides a two-photon amplitude of a created photon pair. The spectra of the signal and idler fields, their intensity profiles in the time domain, as well as the coincidence-count interference pattern in a Hong-Ou-Mandel interferometer are determined both for cw and pulsed pumping regimes in terms of the two-photon amplitude. A broad range of parameters characterizing the emitted down-converted fields can be used. As an example, a structure composed of 49 layers of $\mathrm{Ga}\mathrm{N}∕\mathrm{Al}\mathrm{N}$ is analyzed as a suitable source of photon pairs having high efficiency.

arXiv:quant-ph/0604017•Physical Review A•Mar 30, 2006•35 citations

Spatial properties of entangled photon pairs generated in nonlinear layered structures

Jan Peřina

A spatial quantum model of spontaneous parametric down-conversion in nonlinear layered structures is developed expanding the interacting vectorial fields into monochromatic plane waves. A two-photon spectral amplitude depending on the signal- and idler-field frequencies and propagation directions is used to derive transverse profiles of the emitted fields as well as their spatial correlations. Intensity spatial profiles and their spatial correlations are mainly determined by the positions of transmission peaks formed in these structures with photonic bands. A method for geometry optimization of the structures with respect to efficiency of the nonlinear process is suggested. Several structures composed of GaN/AlN layers are analyzed as typical examples. They allow the generation of photon pairs correlated in several emission directions. Photon-pair generation rates increasing better than the second power of the number of layers can be reached. Also, structures efficiently generated photon pairs showing antibunching and anticoalescence can be obtained. Three reasons for splitting the correlated area in photonic-band-gap structures are revealed: zig-zag movement of photons inside the structure, spatial symmetry, and polarization-dependent properties. Also, spectral splitting can be observed in these structures.

arXiv:1111.1616•Physical Review A•Nov 21, 2011•10 citations

Nonlinear photonic-band-gap structures as a source of entanged two-photon states

Jan Peřina, Marco Centini, Concita Sibilia +2 more

We have developed a vectorial quantum model of spontaneous parametric down-conversion in one-dimensional nonlinear photonic-band-gap structures that shows that these structures represent a promising perspective source of entangled two-photon states.

Conference on Lasers and Electro-Optics•Jan 1, 2006•0 citations
The properties of an entangled two-photon state antisymmetric in frequencies are studied. At a beam splitter, two entangled photons are perfectly anticorrelated. In addition, they cannot be detected at the same time instant despite the fact that their detection times are confined to a narrow time window, i.e., they are temporally antibunched. Using nonlinear photonic-band-gap structures made of GaN∕AlN\mathrm{Ga}\mathrm{N}∕\mathrm{Al}\mathrm{N}GaN∕AlN, two schemes for generating such states are described.
Abstract We discuss the generation of entangled photons using a nonlinear photonic crystal and beam splitter. In our method, the photonic crystal is assumed to be composed of a material with a large second-order nonlinear optical susceptibility χ ( 2 ) . Our proposal relies on two facts: (1) A nonlinear photonic crystal changes coherent incident light into squeezed light. (2) A beam splitter transforms the squeezed light into entangled light beams flying in two different directions. We estimate the yield efficiency of pairs of entangled photons per pulse of the very weak coherent light for our method at 0.0783 for a specific concrete example. Our method is more effective because the conversion efficiency (entangled biphotons per incident pump photons) in the spontaneous parametric downconversion is of the order of 4 × 10 − 6 . The only drawback is that it requires very fine tuning of the frequency of signal photons fed into the photonic crystal; for example, an adjustment is given by Δ ν = 3.11 × 10 8 Hz for the signal light of ν = 3.23 × 10 14 Hz. We investigate the application of entangled photons produced by our method to the BB84 quantum key distribution protocol, and we explore how to detect an eavesdropper. We suggest that our method is promising for decoy-state quantum key distribution using weak coherent light.
We have developed a rigorous quantum model of spontaneous parametric down-conversion in a nonlinear 1D photonic-band-gap structure based upon expansion of the field into monochromatic plane waves. The model provides a two-photon amplitude of a created photon pair. The spectra of the signal and idler fields, their intensity profiles in the time domain, as well as the coincidence-count interference pattern in a Hong-Ou-Mandel interferometer are determined both for cw and pulsed pumping regimes in terms of the two-photon amplitude. A broad range of parameters characterizing the emitted down-converted fields can be used. As an example, a structure composed of 49 layers of GaN∕AlN\mathrm{Ga}\mathrm{N}∕\mathrm{Al}\mathrm{N}GaN∕AlN is analyzed as a suitable source of photon pairs having high efficiency.
A spatial quantum model of spontaneous parametric down-conversion in nonlinear layered structures is developed expanding the interacting vectorial fields into monochromatic plane waves. A two-photon spectral amplitude depending on the signal- and idler-field frequencies and propagation directions is used to derive transverse profiles of the emitted fields as well as their spatial correlations. Intensity spatial profiles and their spatial correlations are mainly determined by the positions of transmission peaks formed in these structures with photonic bands. A method for geometry optimization of the structures with respect to efficiency of the nonlinear process is suggested. Several structures composed of GaN/AlN layers are analyzed as typical examples. They allow the generation of photon pairs correlated in several emission directions. Photon-pair generation rates increasing better than the second power of the number of layers can be reached. Also, structures efficiently generated photon pairs showing antibunching and anticoalescence can be obtained. Three reasons for splitting the correlated area in photonic-band-gap structures are revealed: zig-zag movement of photons inside the structure, spatial symmetry, and polarization-dependent properties. Also, spectral splitting can be observed in these structures.