原子激光傳輸的有效ABCD形式研究

利用含適量子系統傳播子的ABCD形式的理論，將品質因數守恆系統中的ABCD定律，推廣到有效品質因數守恆的系統———原子鐳射的傳輸中，通過引入有效品質因數和有效參數qeff，利用Heisenberg圖像得到傳播子的有效ABCD形式，由於原子鐳射內部原子間相互作用的存在，原有的品質因數不再守恆，有效品質因數是描述原有品質因數和原子間相互作用綜合作用效果的物理量。
Within the frame of the ABCD formulation for the propagators in a time-dependent quantum system, the ABCD law has been extended to the so-called effective ABCD system in which the effective beam quality factor is conservative. We discussed the system as the propagation of the atom laser beam. The effective beam quality factor and the effective parameter are introduced to obtain the effective ABCD formulation of the propagators by means of Heisenberg picture. The atom-atom interactions in the atom laser beam make the beam quality factor nonconservative, and thus the effective beam quality factor can describe the combined effect of the beam quality factor and the atom-atom interaction. Copyright © 2004 中國物理學會.