论文标题
电磁场的第三个量化的实验测试
Experimental test of the third quantization of the electromagnetic field
论文作者
论文摘要
电磁场的每个模式$ \ small {j} $在数学上等同于由波函数$ \ small {ψ_j（x_j）} $描述的谐波振荡器。最近引入了一种方法，其中将对Wave函数$ \ small {ψ_j（x_j）} $进行了进一步量化以产生字段运算符$ \ small {{\ hatψ} _j（x_j）} $ [J.D.弗朗森，物理。修订版A 104，063702（2021）]。这种方法允许基于未知的混合角$ \smallγ$对量子光学和量子电动力学的概括，这与Cabibbo角或Weinberg角有点类似。如果$ \ small {γ= 0} $，则该理论等于常规的量子电动力学，而如果$ \ small {γ\ neq0} $，则预测一种新形式的非弹性光子散射形式。在这里，我们报告了一项光学散射实验的结果，该实验设置了$ \ small {γ\ leq 1.93 \ times 10^{ - 4}} $在99％置信度下的结果，前提是，前提是，如果field Operator $ \ small {{\ hatψ} _j（x_j _JJ（x_j）} $ small field Operator创建的粒子。如果这些颗粒的质量非常大，则需要进行高能实验来测试理论。
Each mode $\small{j}$ of the electromagnetic field is mathematically equivalent to a harmonic oscillator described by a wave function $\small{ψ_j(x_j)}$ in the quadrature representation. An approach was recently introduced in which the wave function $\small{ψ_j(x_j)}$ was further quantized to produce a field operator $\small{{\hat ψ}_j(x_j)}$ [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 $\smallγ$ that is somewhat analogous to the Cabibbo angle or the Weinberg angle. The theory is equivalent to conventional quantum electrodynamics if $\small{γ=0}$, while it predicts a new form of inelastic photon scattering if $\small{γ\neq0}$. Here we report the results of an optical scattering experiment that set an upper bound of $\small{γ\leq 1.93 \times 10^{-4}}$ at the 99% confidence level, provided that the particles created by the field operator $\small{{\hat ψ}_j(x_j)}$ have negligible mass. High-energy experiments would be required to test the theory if the mass of these particles is very large.
