Third quantization of the electromagnetic field

Author/Creator

Author/Creator ORCID

Date

2021-12-01

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Citation of Original Publication

Franson, J. D. "Third quantization of the electromagnetic field." Phys. Rev. A 104, no. 6 (1 December 2021). https://doi.org/10.1103/PhysRevA.104.063702

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May be used only for educational or research purposes.

Abstract

We consider an approach in which the usual wave function in the quadrature representation of mode j of the electromagnetic field is quantized to produce a field operator. Since the electromagnetic field is already second quantized, this corresponds to a third quantization. This approach allows certain calculations in quantum optics to be performed in a straightforward way in the Heisenberg picture. Aside from being a useful computational tool, this approach allows an interesting generalization of quantum optics and quantum electrodynamics that could be tested experimentally.