Analytical model of overlapping Feshbach resonances

被引：33
|
作者：
Jachymski, Krzysztof [1 ]
Julienne, Paul S. [2 ,3 ]
机构：
[1] Univ Warsaw, Fac Phys, PL-00681 Warsaw, Poland
[2] NIST, Joint Quantum Inst, Gaithersburg, MD 20899 USA
[3] Univ Maryland, Gaithersburg, MD 20899 USA
来源：
PHYSICAL REVIEW A | 2013年 / 88卷 / 05期
基金：
美国国家科学基金会;
关键词：
QUANTUM-DEFECT ANALYSIS; DIATOMIC-MOLECULES; SCATTERING; COLLISIONS; ATOMS; CONDENSATION;
D O I：
10.1103/PhysRevA.88.052701
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Feshbach resonances in ultracold collisions often result from an interplay between many collision channels. Simple two-channel models can be introduced to capture the basic features, but cannot fully reproduce the situation when several resonances from different closed channels contribute to the scattering process. Using the formalism of multichannel quantum defect theory we develop an analytical model of overlapping Feshbach resonances. We find a general formula for the variation of the scattering length with magnetic field in the vicinity of an arbitrary number of resonances, characterized by simple parameters. Our formula is in excellent agreement with numerical coupled-channel calculations for several cases of overlapping resonances in the collisions of two Li-7 atoms or two Cs atoms.
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页数：7
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