  The linearly polarized quasi-real photons from the highly Lorentz-contracted
Coulomb fields of relativistic heavy ions can fluctuate to quark-antiquark
pairs, scatter off a target nucleus and emerge as vector mesons. In the
process, the two colliding nuclei can switch roles to act as photon emitter or
target, forming a double-slit interference pattern. The product from
photoproduction inherits the photon polarization states, leading to the
asymmetries of the decay angular distributions. In this letter, we study the
interference effect in polarization dimension from the asymmetries of the decay
angular distributions for photoprodution in heavy-ion collisions and find a
periodic oscillation with the transverse momentum of vector meson, which could
reasonably explain the transverse momentum dependence of the 2nd-order
modulation in azimuth for the $\rho^{0}$ decay observed by the STAR
collaboration.
