Dynamical Localization of Bose-Einstein condensate in Optomechanics

We explain dynamical localization of Bose-Einstein condensate (BEC) in optomechanics both in position and in momentum space. The experimentally realizable optomechanical system is a Fabry-Perot cavity with one moving end mirror and driven by single mode standing field. In our study we analyze variations in modulation strength and effective Plank's constant. Keeping in view present day experimental advances we provide set of parameters to observe the phenomenon in laboratory.