Experimental test of the third quantization of the electromagnetic field

• URL: http://arxiv.org/abs/2201.06611v2
• Date: Wed, 27 Jul 2022 15:45:37 GMT
• Title: Experimental test of the third quantization of the electromagnetic field
• Authors: J.D. Franson
• Abstract summary: An approach was recently introduced in which the wave function $smallpsi_j(x_j)$ was further quantized to produce a field operator $smallhat psi_j(x_j)$. Here we report the results of an optical scattering experiment that set an upper bound of $smallgammaleq 1.93 times 10-4$ at the 99% confidence level.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Each mode $\small{j}$ of the electromagnetic field is mathematically equivalent to a harmonic oscillator described by a wave function $\small{\psi_j(x_j)}$ in the quadrature representation. An approach was recently introduced in which the wave function $\small{\psi_j(x_j)}$ was further quantized to produce a field operator $\small{{\hat \psi}_j(x_j)}$ [J.D. Franson, Phys. Rev. A 104, 063702 (2021)]. This approach allows a generalization of quantum optics and quantum electrodynamics based on an unknown mixing angle $\small{\gamma}$ that is somewhat analogous to the Cabibbo angle or the Weinberg angle. The theory is equivalent to conventional quantum electrodynamics if $\small{\gamma=0}$, while it predicts a new form of inelastic photon scattering if $\small{\gamma\neq0}$. Here we report the results of an optical scattering experiment that set an upper bound of $\small{\gamma\leq 1.93 \times 10^{-4}}$ at the 99% confidence level, provided that the particles created by the field operator $\small{{\hat \psi}_j(x_j)}$ have negligible mass. High-energy experiments would be required to test the theory if the mass of these particles is very large.

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