Bacterial photosynthesis uses cyclic photophosphorylation and only ONE photosystem (electron is passed back to the reaction center -- hence why it is cyclic).
Plants & cyanobacteria use noncyclic photophosphorylation. They use two photosystems. The electron is not returned to the reaction center in PSII so that is why it is noncyclic. Instead, a new electron is formed from the splitting of water and the cycle continues on with this electron in PSII.
Edited to add... Sometimes when there is an accumulation of NADPH, cyclic photophosphorylation will be used rather than noncyclic to produce ATP. So plants can use BOTH noncyclic and cyclic.