electromagnetism - Electromagnetic Unruh effect?

The Unruh temperature is given by

$$T=\frac{\hbar\ a}{2\pi c k_B}.$$

If we have an electron field with charge $e$ and mass $m_e$ acted on by an electromagnetic field $\vec{E}$ then very naively maybe we can write a Newton's 2nd law equation

$$\vec{E}\ e=m_e\ \vec{a}.$$

Substituting the magnitude of the acceleration $a$ into the Unruh formula we get

$$T=\frac{\hbar}{2\pi c k_B}\frac{E\ e}{m_e}.$$

If we take the electric field strength $E=1$ MV/m then the Unruh temperature is

$$T\approx 10^{-2}\ \hbox{K}.$$

Perhaps this temperature could be measured?