Einstein-Podolsky-Rosen correlations in spontaneous parametric down-conversion: Beyond the Gaussian approximation

• URL: http://arxiv.org/abs/2403.04561v2
• Date: Mon, 20 May 2024 16:22:30 GMT
• Title: Einstein-Podolsky-Rosen correlations in spontaneous parametric down-conversion: Beyond the Gaussian approximation
• Authors: A. G. da Costa Moura, C. H. Monken,
• Abstract summary: We present analytic expressions for the coincidence detection probability amplitudes of photon pairs generated by spontaneous parametric down-conversion in both momentum and position spaces. We also present experimental data supporting our theoretical predictions, using Einstein-Podolsky-Rosen correlations as benchmarks, for 8 different pump beam configurations.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present analytic expressions for the coincidence detection probability amplitudes of photon pairs generated by spontaneous parametric down-conversion in both momentum and position spaces, without making use of the Gaussian approximation, and taking into account the effects of birefringence in the nonlinear crystal. We also present experimental data supporting our theoretical predictions, using Einstein-Podolsky-Rosen correlations as benchmarks, for 8 different pump beam configurations.

Related papers

• Momentum-Resolved Probing of Lorentz-Violating Dispersion Relations via Unruh-DeWitt Detector [6.034968381804006]
  We probe Lorentz symmetry violation via modified dispersion relations $omega_|textbfk|$.<n>We employ an Unruh-DeWitt detector to probe energy-dependent modifications to the dispersion relations.<n>Our approach offers a scalable method to test Lorentz symmetry violation across energy scales, and establishes a foundation for experimental verification of Planck-scale relics.
  arXiv  Detail & Related papers  (2025-03-22T12:43:49Z)
• Coherence analysis of local randomness and nonlocal correlation through polarization-basis projections of entangled photon pairs [0.0]
  Polarization-entangled photon pairs generated from second-order nonlinear optical media have been extensively studied for both fundamental research and potential applications of quantum information. This paper presents a coherence analysis of these established quantum phenomena with polarization control of the paired photons and their projection measurements.
  arXiv  Detail & Related papers  (2024-09-28T03:54:44Z)
• Leading correction to the relativistic Foldy-Wouthuysen Hamiltonian [55.2480439325792]
  We rigorously derive a leading correction in the weak-field approximation to the known relativistic Foldy-Wouthuysen Hamiltonian. For Dirac particles, the relativistic wave equation of the second order is obtained with the correction similar to that to the Foldy-Wouthuysen Hamiltonian.
  arXiv  Detail & Related papers  (2024-08-03T12:53:41Z)
• Photon correlation time-asymmetry and dynamical coherence in multichromophoric systems [44.99833362998488]
  We show that time-asymmetries in the cross-correlations of photons corresponding to different polarizations can be exploited to probe quantum coherent transport mechanisms and steady-state coherence properties. Our results put forward photon correlation asymmetry as a promising approach to investigate coherent contributions to excited-stated dynamics in molecular aggregates and other many-site quantum emitters.
  arXiv  Detail & Related papers  (2024-04-24T21:06:01Z)
• Non-Parametric Learning of Stochastic Differential Equations with Non-asymptotic Fast Rates of Convergence [65.63201894457404]
  We propose a novel non-parametric learning paradigm for the identification of drift and diffusion coefficients of non-linear differential equations. The key idea essentially consists of fitting a RKHS-based approximation of the corresponding Fokker-Planck equation to such observations.
  arXiv  Detail & Related papers  (2023-05-24T20:43:47Z)
• Learning Correspondence Uncertainty via Differentiable Nonlinear Least Squares [47.83169780113135]
  We propose a differentiable nonlinear least squares framework to account for uncertainty in relative pose estimation from feature correspondences. We evaluate our approach on synthetic, as well as the KITTI and EuRoC real-world datasets.
  arXiv  Detail & Related papers  (2023-05-16T15:21:09Z)
• Modeling the space-time correlation of pulsed twin beams [68.8204255655161]
  Entangled twin-beams generated by parametric down-conversion are among the favorite sources for imaging-oriented applications. We propose a semi-analytic model which aims to bridge the gap between time-consuming numerical simulations and the unrealistic plane-wave pump theory.
  arXiv  Detail & Related papers  (2023-01-18T11:29:49Z)
• Direct Measurement of Higher-Order Nonlinear Polarization Squeezing [0.0]
  We report on nonlinear squeezing effects of polarization states of light by harnessing the intrinsic correlations from a polarization-entangled light source and click-counting measurements. To quantify quantum effects, theoretical bounds are derived for second- and higher-order moments of nonlinear Stokes operators. Our data certify nonclassical correlations with high statistical significance, without the need to correct for experimental imperfections and limitations.
  arXiv  Detail & Related papers  (2022-04-14T16:26:43Z)
• On the Kullback-Leibler divergence between pairwise isotropic Gaussian-Markov random fields [93.35534658875731]
  We derive expressions for the Kullback-Leibler divergence between two pairwise isotropic Gaussian-Markov random fields. The proposed equation allows the development of novel similarity measures in image processing and machine learning applications.
  arXiv  Detail & Related papers  (2022-03-24T16:37:24Z)
• Semiparametric estimation in Hong-Ou-Mandel interferometry [0.0]
  We apply the theory of semiparametric estimation to a Hong-Ou-Mandel interference experiment with a spectrally entangled two-photon state. We show that negativity of components of the marginal symmetrised wavefunction is an entanglement witness of the two-photon state.
  arXiv  Detail & Related papers  (2021-09-20T08:41:12Z)
• Detecting Einstein-Podolsky-Rosen steering in non-Gaussian spin states from conditional spin-squeezing parameters [0.0]
  We present an experimentally practical method to reveal Einstein-Podolsky-Rosen steering in non-Gaussian spin states. Our criterion is based on the quantum Fisher information, and uses bounds derived from generalized spin-squeezing parameters.
  arXiv  Detail & Related papers  (2021-06-24T15:41:50Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.