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We demonstrate that quantum coherence can be generated by the interplay ofcoupling to an incoherent environment and kinetic processes. This joint effecteven occurs in a repulsively interacting fermionic system initially prepared inan incoherent Mott insulating state. In this case, coupling a dissipative noisefield to the local spin density produces coherent pairs of fermions. Thegenerated pair coherence extends over long distances as typically seen inBose-Einstein condensates. This conceptually surprising approach provides anovel path towards a better control of quantum many-body correlations.

Emergence of long distance pair coherence through incoherent local environmental coupling