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:1602.01111 · Physical Review A

Speckle statistics of entangled photons

Avraham Klein, Oded Agam, Boris Z. Spivak

Published Jul 13, 2016• 1 citation
arXivHTMLPDF

Abstract

We consider the propagation of several entangled photons through an elastically scattering medium and study statistical properties of their speckle patterns. We find the spatial correlations of multiphoton speckles and their sensitivity to changes of system parameters. Our analysis covers both the directed-wave regime, where rays propagate almost ballistically while experiencing small-angle diffusion, and the real-space diffusive regime. We demonstrate that long-range correlations of the speckle patterns dominate experimental signatures for large-aperture photon detectors. We also show that speckle sensitivity depends strongly on the number of photons $N$ in the incoming beam, increasing as $\sqrt{N}$ in the directed-wave regime and as $N$ in the diffusive regime.

DOI
10.1103/physreva.94.013828

Related papers

Statistical properties of two-photon speckles

H. Di Lorenzo Pires, J. Woudenberg, Martin P. van Exter

We experimentally study the statistics of two-photon speckle patterns, obtained when spatially entangled photon pairs are scattered through a random medium. Striking differences arise between the scattering of highly entangled states and almost separable states. Both the purity of the field and the Schmidt number, which quantifies the number of entangled modes, can be obtained from the visibility of the speckles. We observe nonexponential statistics for both the intensities and the two-photon correlations.

Physical Review A•Mar 12, 2012•18 citations

Observation of Two-Photon Speckle Patterns

Wouter H. J. Peeters, J. J. D. Moerman, Martin P. van Exter

We report the observation of speckle patterns in quantum correlations within light that is scattered by a disordered medium. The random medium is illuminated with spatially entangled photon pairs, and fourth-order speckle patterns are spatially resolved by two independently scanning detectors. Spatial entanglement gives two-photon speckle a much richer structure than ordinary one-photon speckle. Our experiments demonstrate that two-photon speckle from a surface scatterer and a volume scatterer look entirely different.

Physical Review Letters•Apr 27, 2010•87 citations

Imaging Quantum Correlations through a Scattering Medium

Gnatiessoro Soro, Éric Lantz, A. Mosset +1 more

We report photon-counting imaging of entangled photon-pairs of high Schmidt number transmitted through a scattering medium lying either in the near-field or in the far-field of the entangled photons source. We demonstrate that spatial momentum or position quantum correlations, measured between twin images recorded onto two separate detectors, exhibit in both cases speckle patterns. Moreover, the total correlation is only slightly lowered by the scattering.

•Sep 25, 2019•0 citations

Two-photon speckles as a probe of spatial entanglement

H. Di Lorenzo Pires, Wouter H. J. Peeters, J. Woudenberg +1 more

We experimentally study the statistics of spatially entangled photon pairs scattered by a disordered medium. Striking differences arise between highly entangled and almost separable states. The Schmidt number can be extracted from the speckle visibility.

International Conference on Quantum Information•Jan 1, 2011•0 citations

Speckle-intensity correlations of photons scattered by cold atoms

Cord Axel Müller, Benoît Grémaud, Christian Miniatura

The irradiation of a dilute cloud of cold atoms with a coherent light field produces a random intensity distribution known as laser speckle. Its statistical fluctuations contain information about the mesoscopic scattering processes at work inside the disordered medium. Following up on earlier work by Assaf and Akkermans [Phys. Rev. Lett. 98, 083601 (2007)], we analyze how static speckle-intensity correlations are affected by an internal Zeeman degeneracy of the scattering atoms. It is proven on general grounds that the speckle correlations cannot exceed the standard Rayleigh law. On the contrary, because which-path information is stored in the internal atomic states, the intensity correlations suffer from strong decoherence and become exponentially small in the diffusive regime applicable to an optically thick cloud.

arXiv:1505.00923•Physical Review A•Jul 13, 2015•6 citations

Entangled photons through thick scattering media: experiments and comparison with simulations of the biphoton wave function

Gnatiessoro Soro, Éric Lantz, A. Mosset +1 more

We report experimentally and numerically quantum correlations imaging through thick random media. We demonstrated that spatial correlations between twin photon are still detected but no in form of two-photon speckle-like patterns.

Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)•Jun 21, 2021•0 citations
We consider the propagation of several entangled photons through an elastically scattering medium and study statistical properties of their speckle patterns. We find the spatial correlations of multiphoton speckles and their sensitivity to changes of system parameters. Our analysis covers both the directed-wave regime, where rays propagate almost ballistically while experiencing small-angle diffusion, and the real-space diffusive regime. We demonstrate that long-range correlations of the speckle patterns dominate experimental signatures for large-aperture photon detectors. We also show that speckle sensitivity depends strongly on the number of photons NNN in the incoming beam, increasing as N\sqrt{N}N​ in the directed-wave regime and as NNN in the diffusive regime.
We experimentally study the statistics of two-photon speckle patterns, obtained when spatially entangled photon pairs are scattered through a random medium. Striking differences arise between the scattering of highly entangled states and almost separable states. Both the purity of the field and the Schmidt number, which quantifies the number of entangled modes, can be obtained from the visibility of the speckles. We observe nonexponential statistics for both the intensities and the two-photon correlations.
We report the observation of speckle patterns in quantum correlations within light that is scattered by a disordered medium. The random medium is illuminated with spatially entangled photon pairs, and fourth-order speckle patterns are spatially resolved by two independently scanning detectors. Spatial entanglement gives two-photon speckle a much richer structure than ordinary one-photon speckle. Our experiments demonstrate that two-photon speckle from a surface scatterer and a volume scatterer look entirely different.
The irradiation of a dilute cloud of cold atoms with a coherent light field produces a random intensity distribution known as laser speckle. Its statistical fluctuations contain information about the mesoscopic scattering processes at work inside the disordered medium. Following up on earlier work by Assaf and Akkermans [Phys. Rev. Lett. 98, 083601 (2007)], we analyze how static speckle-intensity correlations are affected by an internal Zeeman degeneracy of the scattering atoms. It is proven on general grounds that the speckle correlations cannot exceed the standard Rayleigh law. On the contrary, because which-path information is stored in the internal atomic states, the intensity correlations suffer from strong decoherence and become exponentially small in the diffusive regime applicable to an optically thick cloud.