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We study the coherent transport of single photon in a one-dimensionalcoupled-resonator-array, "non-locally" coupled to a two-level system. Since itsinherent structure is a Mach-Zehnder interferometer, we explain the destructiveinterference phenomenon of the transmission spectrums according to the effectof which-way detection. The quantum realization of the present model is anano-electromechanical resonator arrays with two nearest resonators coupled toa single spin via their attached magnetic tips. Its classical simulation is awaveguide of coupled defected cavity array with double couplings to a sidedefected cavity.

Inherent Mach-Zehnder interference with "which-way" detection for single particle scattering in one dimension