Expression for unpolarized electric field

Suppose we have an electric field $mathbf{E}$ given by

$$mathbf{E}(r,t)=(vec{E_1}e^{i mathbf{k}_1 cdot mathbf{r}}+vec{E_2}e^{imathbf{k}_2 cdot mathbf{r}})e^{iomega t}$$

with $c|k_1|=c|k_2|=omega$

Is this electric field unpolarized?