  We propose an experiment for detecting Axion-Like Particles (ALPs) based on
the axion-photon interaction in the presence of a non-uniform magnetic field.
The impact of virtual ALPs on the polarization of the photons inside a cavity
is studied and a detection scheme is proposed. We find that the cavity normal
modes are dispersed differently owing to their coupling to the ALPs in the
presence of a background magnetic field. This birefringence, in turn, can be
observed as a phase difference between the cavity polarization modes. The
signal is considerably enhanced for a squeezed light source. We argue that the
amplified signal allows for exclusion of a range of axion mass
$6\times10^{-4}\text{eV}\lesssim m_{a}\lesssim 6\times10^{-3}\text{eV}$ even at
very small axion-photon coupling constant with the potential to reach
sensitivity to the QCD axion. Our scheme allows for the exclusion of a range of
axion masses that has not yet been covered by other experimental techniques.
