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Bounds for the Distance Dependence of Correlation Functions of Entangled Photons in Waveguides

Andrei Yu. Khrennikov, Börje Nilsson, Sven Nordebo +1 more

The distance dependence of the probability of observing two photons in a waveguide is investigated. The Glauber correlation functions of the entangled photons in waveguides are considered and the spatial and temporal dependence of the correlation functions is evaluated. We derive upper bounds to the distance dependence of the probability of observing two photons. These inequalities should be possible to observe in experiments.

arXiv:1105.6112May 30, 20110 citations

Theory and applications of entangled photons

Amaal M. Ali, Natasha Bastien, Wendy-Ann Gibbons +2 more

Mar 12, 20120 citations

The strange behavior of entangled photons

Luiz Carlos Ryff

Foundations of Physics LettersJun 1, 19970 citations

Quantum field theory and distance effects for polarization correlations in waveguides

T. Ishiwatari, Andrei Yu. Khrennikov, B. Nilsson +5 more

Quantization of Maxwell’s equations in waveguides is considered together with an analysis of the quantum correlation functions of the radiation field. Both the spatial and temporal dependence of the polarization correlation functions for entangled states are evaluated. Predictions for experiments for the study of the spatial dependence of the polarization correlation functions for entangled photons are given.

AIP conference proceedingsJan 1, 20097 citations

Correlated relaxation and emerging entanglement in arrays of Λ -type atoms

Denis Ilin, A. V. Poshakinskiy, Alexander S. Solntsev

We present a theoretical framework for investigating the nonclassical collective relaxation in arrays of $\mathrm{\ensuremath{\Lambda}}$-type three-level atoms, where the two optical transitions are coupled to a pair of orthogonal chiral or achiral waveguide modes. We demonstrate that the atomic entanglement emerges in the course of relaxation and persists in the final steady state of the system. We also reveal the entanglement among the emitted photons as well as between the atoms and the photons. The presence and the degree of the entanglement depend crucially on the interatomic distance and the chirality of the waveguide. Our findings open a new way to engineer dissipation-induced entanglement.We present a theoretical framework for investigating the nonclassical collective relaxation in arrays of $\mathrm{\ensuremath{\Lambda}}$-type three-level atoms, where the two optical transitions are coupled to a pair of orthogonal chiral or achiral waveguide modes. We demonstrate that the atomic entanglement emerges in the course of relaxation and persists in the final steady state of the system. We also reveal the entanglement among the emitted photons as well as between the atoms and the photons. The presence and the degree of the entanglement depend crucially on the interatomic distance and the chirality of the waveguide. Our findings open a new way to engineer dissipation-induced entanglement.

Physical Review AApr 2, 20253 citations

Dynamics and fidelity of entanglement of photons coupled to optical fibers and waveguides

Bereket Berhane

Bulletin of the American Physical SocietyMar 17, 20090 citations

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