Entanglement and four wave mixing effects in the dissipation free nonlinear interaction of two photons at a single atom

Abstract

We investigate the nonlinear interaction between two photons in a single input pulse at an atomic two level nonlinearity. A one dimensional model for the propagation of light to and from the atom is used to describe the precise spatiotemporal coherence of the two photon state. It is shown that the interaction generates spatiotemporal entanglement in the output state similar to the entanglement observed in parametric downconversion. A method of generating photon pairs from coherent pump light using this quantum mechanical four wave mixing process is proposed.

10 pages, including 3 figures, correction in eq.(7), updated references, final version for publication in PRA

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• Quantum theory of light scattering in a one-dimensional channel: Interaction effect on photon statistics and entanglement entropy
• Efficiencies for the single mode operation of a quantum optical nonlinear shift gate
• Few-photon Fock-state wave packet interacting with a cavity-atom system in a waveguide: Exact quantum state dynamics
• Entanglement conditions for multi-mode states
• Photon distribution function for propagation of two-photon pulses in waveguide-qubit systems
• Pulse shape effects on photon-photon interactions in non-linear optical quantum gates
• Influence of pure-dephasing by phonons on exciton-photon interfaces: Quantum microscopic theory
• A study on the shape of two-photon wavefunctions after the nonlinear interaction with a one-dimensional atom
• Quantum effects in the interaction of off-resonant coherent light with a single atom