It is theoretically and experimentally shown that photons emitted by statistically independent incoherent classical light sources and measured in the far field in spatially separated modes may display spatial correlations akin to path-entanglement of photons produced by quantum sources. By measuring higher order photon-correlations at different locations, i.e., $m$ photons in one mode and one photon in another mode, we experimentally demonstrate for $m \geq 6$ a violation of Bell-type inequalities for spatial degrees of freedom. The spatial correlations among the photons can be understood from state projection where the detection of the first $m$ photons projects the sources onto a state which emits the subsequent photon in a strongly correlated manner. From this perspective the entanglement and violation of Bell's inequalities appears as a consequence of nonvanishing cross correlations between noncommuting quadrature phase components of the two spatially separated fields after $m$ photons have been recorded. In this way we show that classical systems may produce spatial field correlations violating local realistic theories.It is theoretically and experimentally shown that photons emitted by statistically independent incoherent classical light sources and measured in the far field in spatially separated modes may display spatial correlations akin to path-entanglement of photons produced by quantum sources. By measuring higher order photon-correlations at different locations, i.e., $m$ photons in one mode and one photon in another mode, we experimentally demonstrate for $m \geq 6$ a violation of Bell-type inequalities for spatial degrees of freedom. The spatial correlations among the photons can be understood from state projection where the detection of the first $m$ photons projects the sources onto a state which emits the subsequent photon in a strongly correlated manner. From this perspective the entanglement and violation of Bell's inequalities appears as a consequence of nonvanishing cross correlations between noncommuting quadrature phase components of the two spatially separated fields after $m$ photons have been recorded. In this way we show that classical systems may produce spatial field correlations violating local realistic theories.

arXiv:1501.05351Jan 21, 20150 citations

Single-photon Sources

Matthew T. Rakher

Laser focus worldJan 1, 20090 citations

Schmidt-like coherent mode decomposition and spatial intensity correlations of thermal light

I. B. Bobrov, Stanislav S. Straupe, E. V. Kovlakov +1 more

We experimentally study the properties of coherent mode decomposition for the intensity correlation function of quasi-thermal light. We use the technique of spatial mode selection developed for studying the transverse entanglement of photon pairs, and show that it can be extended to characterize classical spatial correlations. Our results demonstrate the existence of a unique, for a given thermal source, basis of coherent modes, correlated in a way much resembling the Schmidt modes of spatially entangled photons.We experimentally study the properties of coherent mode decomposition for the intensity correlation function of quasi-thermal light. We use the technique of spatial mode selection developed for studying the transverse entanglement of photon pairs, and show that it can be extended to characterize classical spatial correlations. Our results demonstrate the existence of a unique, for a given thermal source, basis of coherent modes, correlated in a way much resembling the Schmidt modes of spatially entangled photons.

arXiv:1210.3212New Journal of PhysicsJul 5, 201320 citations

Single-Photon Sources

Series in optics and optoelectronicsSep 25, 20173 citations

m

photons in one mode and one photon in another mode, we experimentally demonstrate for

m \geq 6

a violation of Bell-type inequalities for spatial degrees of freedom. The spatial correlations among the photons can be understood from state projection where the detection of the first

m

photons projects the sources onto a state which emits the subsequent photon in a strongly correlated manner. From this perspective the entanglement and violation of Bell's inequalities appears as a consequence of nonvanishing cross correlations between noncommuting quadrature phase components of the two spatially separated fields after

m

photons have been recorded. In this way we show that classical systems may produce spatial field correlations violating local realistic theories.