玻色-爱因斯坦凝聚是一种全新的物质状态，是指大量原子以稀薄气体的形式在瞬间凝聚到具有相干性的基态上 ,这种状态可以显示很多比较优良的量子效应。比如可以以碱金属的超精细能级差来定义1s；部分从BEC中射出的原子有极佳的相干干涉性等。 超辐射是集合辐射源的一种合作效应，N个原子系的超辐射强度正比于原子数的平方N2而不同于非相干辐射时正比于原子数N的情况。 本文是以综述形式介绍一篇研究关于在BEC态下超辐射的特点的文章，并简述BEC与超辐射的基本理论和发展状况。

A Bose-Einstein condensate is matter in a very unusual state, which is reached when certain gases are cooled to very low temperatures, but kept at such low density that they cannot condense into ordinary liquids. This statement express many good quantum effect. Superradiance is the collective emission of light from an ensemble of excited atoms and involves the spontaneous buildup of coherence in a macroscopic ensemble of atoms. I introduce a study of The Onset of Matter-Wave Amplification in a Superradiant Bose-Einstein Condensate. This comprehensive review of the basic concepts of Bose-Einstein condensation and superradiance, including its theory, experiments and technical skills is also presented.