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We analyze the dynamics of the molecular field incoherently pumped by thephotoassociation of fermionic atoms and coupled by quantum tunnelling in adouble-well potential. The relative phase distribution of the molecular modesin each well and their phase coherence are shown to build up owing to quantummechanical fluctuations starting from the vacuum state. We identify threequalitatively different steady-state phase distributions, depending on theratio of the molecule-molecule interaction strength to interwell tunnelling,and examine the crossover from a phase-coherent regime to a phase-incoherentregime as this ratio increases.Comment: 5 pages, 2 figure

Phase coherence in a driven double-well system