(color online) Controlled collisional phase gates scheme in an array of single atom OFMTs. : the OFMTs potential (the black solid line), and : the microwave potentials for states and (the blue dashed line), : the combined potential after applying the MW potential between sites 2 and 3. Here we show a gate operation between sites 2 and 3 in the array of single atoms OFMTs. An MW state-dependent potential is applied through the CPW between the two selected sites, resulting in a state selective potential dynamic without affecting the other sites. By smoothly modulating the MW intensity, a π phase gate operation is achieved.