Coherent control of matter waves using mechanical action of electromagnetic field displays quantum duality at work. Deflecting, focussing and trapping the matter wave or de Broglie wave using optical fields lead us to develop tools to manipulate the matter waves. The emerging field provides a playground to study the newer effects of quantum coherence and quantum interference. The expansion of this area in last three decades has enabled us to store atoms and cool them to temperatures as low as micro kelvin scale and beyond, leading to experimental realization of Bose-Einstein condensation (BEC) and of Fermi degeneracy in ultra-cold. With a focus on graduate students and young researchers, this book discusses the topics that lay the foundation stones of interaction of ultra-cold atoms with optical potentials. Key Features: It is developed keeping in view latest experimental advancements It puts light on newer theoretical advancement Explains the text though definitions, and useful diagrams Provides necessary examples and problems for the students It is simple in language, slender, and not voluminous.