Frontiers in Optics

Anderson co-Localization of Spatially Entangled Photons

Ayman F. Abouraddy, Giovanni Di Giuseppe, Demetrios N. Christodoulides, Bahaa E. A. Saleh

Published Jan 1, 2011• 1 citation

Abstract

We explore the propagation of spatially extended entangled two photons through a disordered optical system that induces Anderson localization (AL). While neither photon exhibits AL, the photon pair exhibits co-localization, i.e., reduced spatial correlation length.

DOI: 10.1364/fio.2011.fths1

Related papers

Anderson localization and colocalization of spatially entangled photons

Ayman F. Abouraddy, Giovanni Di Giuseppe, Demetrios N. Christodoulides +1 more

We explore the propagation of light in a two-photon state in disordered optical systems that induce Anderson localization. We show that entangled-photon pairs demonstrate a surprising behavior that we call Anderson colocalization: While neither photon exhibits Anderson localization, the spatial correlations of the pair remain intact. Furthermore, we show that entangled-photon pairs colocalize faster than classical light localizes in the same system. We also explore the propagation of anticorrelated and partially entangled photon pairs in such systems. The results are developed using a linear systems theory that extends the scope of quantum imaging to incorporate disordered systems.

Physical Review AOct 10, 201244 citations

Anderson Colocalization of anti-correlated Entangled Photon Pairs in Disordered Photonic Waveguide Arrays

Lane Martin, Giovanni Di Giuseppe, Armando Pérez-Leija +4 more

The evolution of spatially extended, entangled, anti-correlated two photon states in photonic waveguide arrays that induce classical transverse Anderson localization is theoretically and experimentally investigated. © 2013 The Optical Society.

Journal of International Crisis and Risk Communication ResearchJan 1, 20130 citations

Entangled Photon Pairs in Disordered Photonic Lattices

Lane Martin

Photonic lattices consisting of arrays of evanescently coupled waveguides fabricated with precisely controlled parameters have enabled the study of discrete optical phenomena, both classical and quantum, and the simulation of other physical phenomena governed by the same dynamics. In this dissertation, I have experimentally demonstrated transverse Anderson localization of classical light in arrays with off-diagonal coupling disorder and investigated theoretically and experimentally the propagation of entangled photon pairs through such disordered systems. I discovered a new phenomenon, Anderson co-localization, in which a spatially entangled photon pair in a correlated transversally extended state localizes in the correlation space, though neither photon localizes on its own. When the photons of a pair are in an anti-correlated state, they maintain their anti-correlation upon transmission through the disordered lattice, exhibiting Anderson anti-localization. These states were generated by use of parametric down conversion in a nonlinear crystal. The transition between the correlated and anti-correlated states was also explored by using a lens system in a configuration intermediate between imaging and Fourier transforming. In the course of this research, I discovered a curious aspect of light transmission through such disordered discrete lattices. An excitation wave of a single spatial frequency (transverse momentum) is transmitted through the system and is accompanied by another wave with the same spatial frequency but opposite sign, indicating some form of internal reflection facilitated by the disordered structure.

Journal of International Crisis and Risk Communication ResearchJan 1, 20140 citations

Transition from Anderson co-Localization to anti-co-Localization of Entangled Photon Pairs in Disordered Photonic Waveguide Arrays

Lane Martin, Giovanni Di Giuseppe, Armando Pérez-Leija +5 more

We experimentally and theoretically investigate the evolution of different types of two photon entangled states in disordered photonic waveguide arrays. We present a transition from Anderson co-localization to Anderson anti-co-localization.

Frontiers in OpticsJan 1, 20130 citations

Observation of Anderson co-localization of spatially entangled photon pairs

Armando Perez-Leija, Giovanni Di Giuseppe, Lane Martin +5 more

Get PDF Email Share Share with Facebook Tweet This Post on reddit Share with LinkedIn Add to CiteULike Add to Mendeley Add to BibSonomy Get Citation Copy Citation Text G. Di Giuseppe, L. Martin, A. Perez-Leija, R. Keil, A. Szameit, A. F. Abouraddy, D. N. Christodoulides, and B. E. A. Saleh, "Observation of Anderson co-localization of spatially entangled photon pairs," in Conference on Lasers and Electro-Optics 2012, OSA Technical Digest (Optica Publishing Group, 2012), paper QF2F.3. Export Citation BibTex Endnote (RIS) HTML Plain Text Citation alert Save article

Conference on Lasers and Electro-OpticsJan 1, 20120 citations

Observing Anderson Co-Localization of Entangled Photon Pairs

Ayman F. Abouraddy, Demetrios N. Christodoulides, Lane Martin +7 more

In 1958, Philip Anderson suggested that a quantum mechanical wave function may undergo localization in a disordered lattice as a result of interference between different paths arising from multiple scattering. While direct evidence of this localization remains elusive in solid state physics, its optical analogue may be realized in random arrays of coupled waveguides.

Optics and Photonics NewsDec 1, 20130 citations