Cs_2基态三重态散射长度的调谐
Tuning the scattering length on the ground triplet state of Cs_2
摘要：
我们发展了两种方案来调节Cs_2基态三重态的散射长度。首先，使用实验数据（Fioretti等，Eur.Phys.J.5，389（1999））确定^{133}Cs_2的三重散射长度的绝对值。我们证明，通过强非共振辐射将^3 π_u^+（6S + 6S）势耦合到^3Π_g态，可以使大的散射长度变小并变为正值。较弱的激光场将^3 π_u^+（6S + 6S）连续谱耦合到激发态^3 π_g^+（6S + 6P）的最低束缚能级，也会导致较小的正散射长度。此外，发现^{135}Cs同位素的散射长度为正。所用的方法解决了薛定谔方程的两个电子状态耦合的电磁场与近似。散射长度由计算的低能连续波函数确定。
英文摘要：
We develop two schemes for tuning the scattering length on the ground triplet state of Cs_2. First, an absolute value of the triplet scattering length of ^{133}Cs_2 is determined using the experimental data (Fioretti et al, Eur.Phys.J. 5, 389 (1999)). We demonstrate that the large scattering length can be made small and positive by coupling of the ^3Σ_u^+ (6S + 6S) potential to the ^3Π_g state by strong off-resonant radiation. A weaker laser field coupling the ^3Σ_u^+ (6S + 6S) continuum to the lowest bound level of the excited ^3Σ_g^+ (6S + 6P) also leads to a small positive scattering length. In addition, the scattering length of the ^{135}Cs isotope is found to be positive. The method used solves the Schroedinger equation for two electronic states coupled by an electromagnetic field with approximations employed. The scattering length is determined from calculated continuum wavefunctions of low energy.
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