The self-Kerr interaction is an optical nonlinearity that produces a phase shift proportional to the square of the number of photons in the field. At present, many proposals use nonlinearities to generate photon-photon interactions. For propagating fields these interactions result in undesirable features such as spectral correlation between the photons. Here we engineer a discrete network composed of cross-Kerr interaction regions to simulate a self-Kerr medium. The medium has effective long-range interactions implemented in a physically local way. We compute the one- and two-photon $S$ matrices for fields propagating in this medium. From these scattering matrices we show that our proposal leads to a high-fidelity photon-photon gate. In the limit where the number of nodes in the network tends to infinity, the medium approximates a perfect self-Kerr interaction in the one- and two-photon regime.The self-Kerr interaction is an optical nonlinearity that produces a phase shift proportional to the square of the number of photons in the field. At present, many proposals use nonlinearities to generate photon-photon interactions. For propagating fields these interactions result in undesirable features such as spectral correlation between the photons. Here we engineer a discrete network composed of cross-Kerr interaction regions to simulate a self-Kerr medium. The medium has effective long-range interactions implemented in a physically local way. We compute the one- and two-photon $S$ matrices for fields propagating in this medium. From these scattering matrices we show that our proposal leads to a high-fidelity photon-photon gate. In the limit where the number of nodes in the network tends to infinity, the medium approximates a perfect self-Kerr interaction in the one- and two-photon regime.

arXiv:1804.08531Physical Review ADec 10, 201822 citations

Strongly interacting photons in a quantum nonlinear medium

Thibault Peyronel

Bulletin of the American Physical SocietyJun 3, 20140 citations

Quantum dynamics of a qutrit in a cavity filled with Kerr-like medium and intrinsic noise

A.‐B. A. Mohamed, M M Elkhateeb, Mostafa Hashem +2 more

We study the dynamics of the intrinsic noise (IN) model of a three-level atom (qutrit) in V-configuration. The qutrit is inside an open cavity with a Kerr-like medium. The quantifiers of the atomic population, entanglement and mixedness are evaluated under the physical parameters of the photon multiplicity, IN and the nonlinearity of both the unitary interaction and the Kerr-like medium. It is found that the generated entanglement and mixedness may be enhanced by filling the cavity with a nonlinear medium. The transfer of the energy between the two upper states and the lower state are very sensitive to the physical parameters. The entanglement and mixedness depend on the initial coherent intensity, the IN and the Kerr-like medium.We study the dynamics of the intrinsic noise (IN) model of a three-level atom (qutrit) in V-configuration. The qutrit is inside an open cavity with a Kerr-like medium. The quantifiers of the atomic population, entanglement and mixedness are evaluated under the physical parameters of the photon multiplicity, IN and the nonlinearity of both the unitary interaction and the Kerr-like medium. It is found that the generated entanglement and mixedness may be enhanced by filling the cavity with a nonlinear medium. The transfer of the energy between the two upper states and the lower state are very sensitive to the physical parameters. The entanglement and mixedness depend on the initial coherent intensity, the IN and the Kerr-like medium.

Modern Physics Letters ASep 22, 20206 citations

Attractive photons in a quantum nonlinear medium

Ofer Firstenberg, Thibault Peyronel, Qiyu Liang +3 more

NatureSep 24, 2013428 citations

Coherent Photon Decay in a Nonlinear Medium

Давид Николаевич Клышко

Jul 1, 196736 citations

S

matrices for fields propagating in this medium. From these scattering matrices we show that our proposal leads to a high-fidelity photon-photon gate. In the limit where the number of nodes in the network tends to infinity, the medium approximates a perfect self-Kerr interaction in the one- and two-photon regime.