Abstract:We suggest the generation of photon pairs in a thermally induced nonlinear periodically poled silica fiber by spontaneous parametric down-conversion. Photons are generated directly in eigenstates of optical angular momentum. Photons in a pair can be entangled in these states as well as in frequencies. We identify suitable spatial and polarization modes giving an efficient nonlinear interaction. By changing the pump field properties both narrow-and broadband down-converted fields can be obtained.
“…Spontaneous parametric down-conversion (SPDC) is a second-order nonlinear process [1][2][3] in which one photon with higher energy is annihilated and two photons of lower energies are simultaneously created. Due to the laws of energy and momentum conservations quantum correlations (entanglement) between the photons in a pair emerge [4][5][6][7]. The process of SPDC occurs either inside the media with non-zero second-order permittivity tensor (non-centrosymmetric crystals) or at the boundaries of these media [8][9][10].…”
Section: Introductionmentioning
confidence: 99%
“…The process of SPDC has been observed in nonlinear bulk media [10,11], systems of nonlinear thin layers [12][13][14] including metallo-dielectric layers [7,15,16], nonlinear photonic fibers [7,17,18], nonlinear photonic waveguides [19][20][21][22], as well as in complex nonlinear photonic structures [23]. Bulk media including the most common nonlinear crystals LiNbO 3 and KTP represent the historically oldest sources of photon pairs.…”
A rigorous description of volume and surface spontaneous parametric down-conversion in 1D nonlinear layered structures is developed considering exact continuity relations for the fields' amplitudes at the boundaries. The nonlinear process is described by the quantum momentum operator that provides the Heisenberg equations which solution is continuous at the boundaries. The transfermatrix formalism is applied. The volume and surface contributions are clearly identified. Numerical analysis of a structure composed of 20 alternating GaN/AlN layers is given as an example.
“…Spontaneous parametric down-conversion (SPDC) is a second-order nonlinear process [1][2][3] in which one photon with higher energy is annihilated and two photons of lower energies are simultaneously created. Due to the laws of energy and momentum conservations quantum correlations (entanglement) between the photons in a pair emerge [4][5][6][7]. The process of SPDC occurs either inside the media with non-zero second-order permittivity tensor (non-centrosymmetric crystals) or at the boundaries of these media [8][9][10].…”
Section: Introductionmentioning
confidence: 99%
“…The process of SPDC has been observed in nonlinear bulk media [10,11], systems of nonlinear thin layers [12][13][14] including metallo-dielectric layers [7,15,16], nonlinear photonic fibers [7,17,18], nonlinear photonic waveguides [19][20][21][22], as well as in complex nonlinear photonic structures [23]. Bulk media including the most common nonlinear crystals LiNbO 3 and KTP represent the historically oldest sources of photon pairs.…”
A rigorous description of volume and surface spontaneous parametric down-conversion in 1D nonlinear layered structures is developed considering exact continuity relations for the fields' amplitudes at the boundaries. The nonlinear process is described by the quantum momentum operator that provides the Heisenberg equations which solution is continuous at the boundaries. The transfermatrix formalism is applied. The volume and surface contributions are clearly identified. Numerical analysis of a structure composed of 20 alternating GaN/AlN layers is given as an example.
“…Entanglement between photons can be produced in various degrees of freedom such as polarization [5][6][7][8], time/frequency [9][10][11][12][13] etc. In the case of multimode waveguides, transverse spatial modes can be also used as the basis for generating a discrete (finite-dimensional) entangled state [10,[14][15][16][17][18].…”
A key ingredient in emerging quantum-enhanced technologies is the ability to coherently manipulate and detect superpositions of basis states. In integrated optics implementations, transverse spatial modes supported by multimode structures offer an attractive carrier of quantum superpositions. Here we propose an integrated dynamic mode converter based on the electro-optic effect in nonlinear channel waveguides for deterministic transformations between mutually non-orthogonal bases of spatial modes. We theoretically show its capability to demonstrate a violation of a Bell-type Clauser-Horne-Shimony-Holt inequality by measuring spatially mode-entangled photon pairs generated by an integrated photon pair source. The proposed configuration, numerically studied for the potassium titanyl phosphate (KTP) material, can be easily implemented using standard integrated optical fabrication technology.
Nonlinear metal-dielectric layered structures are shown to be able to efficiently generate entangled photon pairs using spontaneous parametric down-conversion. Increase of electric-field amplitudes in these structures enhanced by the presence of metal layers is sufficient to compensate for losses inside thin metal layers. As an example, photon pairs emitted from a structure composed of alternating nonlinear dielectric GaN layers and metal Ag layers are analyzed in spectral, temporal as well as spatial domains. Also correlations and entanglement between two photons in a pair are determined. Very narrow photon-pair spectra together with strong directionality of photon-pair emission are observed making the photons suitable for photon-atom interactions. Highly enhanced electric-field amplitudes provide high photon-pair generation efficiencies.
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