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

Abstract

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 is analyzed as a suitable source of photon pairs having high efficiency.

Authors:
; ; ; ;  [1];  [2];  [3]
  1. Joint Laboratory of Optics of Palacky University and Institute of Physics of Academy of Sciences of the Czech Republic, 17. listopadu 50A, 772 07 Olomouc (Czech Republic)
  2. (Italy)
  3. (United States)
Publication Date:
OSTI Identifier:
20787003
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.73.033823; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ALUMINIUM NITRIDES; AMPLITUDES; CONVERSION; EFFICIENCY; ELECTRONIC STRUCTURE; EMISSION; GALLIUM NITRIDES; INTERFERENCE; INTERFEROMETRY; LAYERS; MONOCHROMATIC RADIATION; MULTI-PHOTON PROCESSES; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; OPTICS; PHOTONS; QUANTUM ENTANGLEMENT

Citation Formats

Perina, Jan Jr., Centini, Marco, Sibilia, Concita, Bertolotti, Mario, Scalora, Michael, Dipartimento di Energetica, Universita La Sapienza di Roma, Via A. Scarpa 16, 00161 Rome, and Charles M. Bowden Research Center, RD and EC, Redstone Arsenal, Bldg. 7804, Alabama 35898-5000. Properties of entangled photon pairs generated in one-dimensional nonlinear photonic-band-gap structures. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.0.
Perina, Jan Jr., Centini, Marco, Sibilia, Concita, Bertolotti, Mario, Scalora, Michael, Dipartimento di Energetica, Universita La Sapienza di Roma, Via A. Scarpa 16, 00161 Rome, & Charles M. Bowden Research Center, RD and EC, Redstone Arsenal, Bldg. 7804, Alabama 35898-5000. Properties of entangled photon pairs generated in one-dimensional nonlinear photonic-band-gap structures. United States. doi:10.1103/PHYSREVA.73.0.
Perina, Jan Jr., Centini, Marco, Sibilia, Concita, Bertolotti, Mario, Scalora, Michael, Dipartimento di Energetica, Universita La Sapienza di Roma, Via A. Scarpa 16, 00161 Rome, and Charles M. Bowden Research Center, RD and EC, Redstone Arsenal, Bldg. 7804, Alabama 35898-5000. Wed . "Properties of entangled photon pairs generated in one-dimensional nonlinear photonic-band-gap structures". United States. doi:10.1103/PHYSREVA.73.0.
@article{osti_20787003,
title = {Properties of entangled photon pairs generated in one-dimensional nonlinear photonic-band-gap structures},
author = {Perina, Jan Jr. and Centini, Marco and Sibilia, Concita and Bertolotti, Mario and Scalora, Michael and Dipartimento di Energetica, Universita La Sapienza di Roma, Via A. Scarpa 16, 00161 Rome and Charles M. Bowden Research Center, RD and EC, Redstone Arsenal, Bldg. 7804, Alabama 35898-5000},
abstractNote = {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 is analyzed as a suitable source of photon pairs having high efficiency.},
doi = {10.1103/PHYSREVA.73.0},
journal = {Physical Review. A},
number = 3,
volume = 73,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}
  • 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 layersmore » 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.« less
  • We numerically examine the time-dependent properties of nonlinear bistable multilayer structures for constant wave illumination. We find that our system exhibits both steady-state and self-pulsing solutions. In the steady-state regime, we examine the dynamics of driving the system between different transmission states by injecting pulses, and we find optimal pulse parameters. We repeat this work for the case of a linear periodic system with a nonlinear impurity layer. (c) 2000 The American Physical Society.
  • Robustness of the geometric phase (GP) with respect to different noise effects is a basic condition for an effective quantum computation. Here, we propose a useful quantum system with real physical parameters by studying the GP of a pair of Stokes and anti-Stokes photons, involving Raman emission processes with and without photonic band gap (PBG) effect. We show that the properties of GP are very sensitive to the change of the Rabi frequency and time, exhibiting collapse phenomenon as the time becomes significantly large. The system allows us to obtain a state which remains with zero GP for longer times.more » This result plays a significant role to enhance the stabilization and control of the system dynamics. Finally, we investigate the nonlocal correlation (entanglement) between the pair photons by taking into account the effect of different parameters. An interesting correlation between the GP and entanglement is observed showing that the PBG stabilizes the fluctuations in the system and makes the entanglement more robust against the change of time and frequency.« less
  • The photonic band gap structures of obliquely incident electromagnetic waves propagating in a one-dimension plasma photonic crystal with collision have been studied on the basis of electromagnetic theory and transfer matrix approach. The dispersion relations for both the transverse electric wave case and the transverse magnetic wave case are deduced. And the photonic band gap structures, with their function dependence on the microplasma layer density, microplasma width, collision frequency, background material dielectric constant, and incident angle, are computed. The results show that there exist two photonic band gap structures in an adsorptive plasma photonic crystal: one is a normal photonicmore » band gap structure and the other is an absorption photonic band gap structure. Parameter dependence of the effects is calculated and discussed.« less
  • A description of spontaneous parametric down-conversion in finite-length one-dimensional nonlinear photonic crystals is developed using semiclassical and quantum approaches. It is shown that if a suitable averaging is added to the semiclassical model, its results are in very good agreement with the quantum approach. We propose two structures made with GaN/AlN that generate both degenerate and nondegenerate entangled photon pairs. Both structures are designed so as to achieve a high efficiency of the nonlinear process.