Third quantization of the electromagnetic field
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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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.