冷原子物質波在空間形成原子團時，溫度與大小是冷原子團的巨觀特徵，而
不同的溫度下又對應不同的原子尺寸。本篇論文主要討論拉曼躍遷系統中，冷
原子物質波其有限寬度波包是如何影響拉曼躍遷的。

其中冷原子團波包對應整個原子團動量分佈，如果在足夠冷的原子團下，個
別原子間應無其他交互作用，故測量原子團得到的原子性質應該和測量單一原
子得到的原子性質一致，而拉曼躍遷本身只涉及單一原子行為，故可藉由測量
單一原子在拉曼躍遷下的響應(密度圖)，來了解整個原子團中個別原子的行為。
關鍵字：拉曼躍遷

When cold atomic matter waves form atomic ensemble in space, temperature
and size are the macroscopic characteristics of cold atomic ensemble, which
different temperatures correspond to different atomic sizes. This thesis mainly
discusses how the finite-sized wave package of the cold atomic matter wave affect
the Raman transition in the Raman transition system.

The cold atomic ensemble wave package corresponds to the momentum
distribution of the entire atomic ensemble. If an atomic ensemble is cold and
dilute enough, there could be no interactions between individual atoms.
Therefore, the atomic properties obtained by measuring the atomic ensemble
could be consistent with the atomic properties obtained by measuring a single
atom, and the Raman transition It only involves the behavior of a single atom, so
by measuring the response (represented as a density map) of a single atom under
the Raman transition, the behavior of individual atoms in the entire atomic
ensemble can be understood.
Keyword: Raman transition

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