Energy and momentum entanglement in parametric downconversion

Abstract

We present a simple treatment for the phenomenon of parametric downconversion considering the coherent scattering of one pump photon into a photon pair by a nonlinear crystal. The energy and momentum entanglement of the quantum state of the generated twin photons are seen as a consequence of the fundamental indistinguishability of the time and the position in which the photon pair is created inside the crystal. We also discuss some consequences of the system entanglement.

6 pages, 2 figures. v3: Minor changes on the text. Some references were included

References in corpus (2)

• Division of the momentum of electromagnetic waves in linear media into electromagnetic and material parts
• Interaction between light and matter: A photon wave function approach

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