The experiment is proposed which should demonstrate that if the filter
providing the spectral selection is placed in the route of one photon
of the entangled pair produced by spontaneous down-conversion and the
photon is detected behind it then the interference appears in the (di
stant) Mach-Zehnder interferometer placed in the route of the other ph
oton of the pair even if the optical path difference through the inter
ferometer greatly exceeds the coherence length of the light and if the
spectra of these two photons do not overlap. The theoretical analysis
is carried out and physical interpretation is discussed.