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We report observation of a counter-intuitive phenomenon in multi-pathcorrelation interferometry with thermal light. The intensity correlationbetween the outputs of two unbalanced Mach-Zehnder interferometers (UMZI) withtwo classically correlated beams of thermal light at the input exhibits genuinesecond-order interference with the visibility of $1/3$. Surprisingly, thesecond-order interference does not degrade at all no matter how much the pathlength difference in each UMZI is increased beyond the coherence length of thethermal light. Moreover, the second-order interference is dependent on thedifference of the UMZI phases. These results differ substantially from those ofthe entangled-photon Franson interferometer which exhibits two-photoninterference dependent on the sum of the UMZI phases and the interferencevanishes as the path length difference in each UMZI exceeds the coherencelength of the pump laser. Our work offers deeper insight into the interplaybetween interference and coherence in multi-photon interferometry.

Observation of second-order temporal interference with thermal light: Interference beyond the coherence time