  Talbot interferometer, as a periodic reproduction of momentum distribution in
the time domain, finds significant applications in multiple research. The
inter-particle interactions during the diffraction and interference process
introduce numerous many-body physics problems, leading to unconventional
interference characteristics. This work investigates both experimentally and
theoretically the influence of interaction in a Talbot interferometer with a
$^{6}\rm Li_2$ molecular Bose-Einstein condensate in a one-dimensional optical
lattice, with interaction strength directly tunable via magnetic Feshbach
resonance. A clear dependence of the period and amplitude of signal revivals on
the interaction strength can be observed. While interactions increase the decay
rate of the signal and advance the revivals, we find that over a wide range of
interactions, the Talbot interferometer remains highly effective over a certain
evolutionary timescale, including the case of fractional Talbot interference.
This work provides insight into the interplay between interaction and the
coherence properties of a temporal Talbot interference in optical lattices,
paving the way for research into quantum interference in strongly interacting
systems.
