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arXiv 1910.04545physics.atom-phcond-mat.quant-gas
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准3+0维超冷气体中弱裸相互作用的约束诱导共振

Confinement Induced Resonance with Weak Bare Interaction in a Quasi 3+0 Dimensional Ultracold Gas

Dawu Xiao, Ren Zhang, Peng Zhang

发表信息：
Few-Body Systems, 60(4), 2019
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摘要：

约束诱导共振（CIR）是控制超冷原子相互作用的有效手段。在大多数情况下，CIR发生时的特征长度atrap的限制是类似的散射长度作为两个原子在自由的三维（3D）空间。如果有一个CIR可以发生弱裸相互作用，即，在条件$a_{\rm{trap}}\gg a_s$下，即使没有磁费什巴赫共振的帮助，也可以对更多的系统实现，并且将是非常有用的。在Massignan和Castin的先前研究（Phys Rev A 74：013616，2006）中，表明可以在准（3+0）D系统中实现这样的CIR，其中一个超冷原子在3D空间中运动，而另一个被3D谐波陷阱定域。在这项工作中，我们仔细研究在这个系统中的CIR的属性。我们证明了含$a_{\rm{trap}}\gg a_s$的CIR是真实存在的，且这种CIR的数目随运动原子和定域原子的质量比的增加而增加.然而，当$a_{\rm{trap}}\gg a_s$时，CIR变得非常窄，因此在实际实验中难以控制。

英文摘要：

Confinement induced resonance (CIR) is a useful tool for the control of the interaction between ultracold atoms. In most cases the CIR occurs when the characteristic length atrap of the confinement is similar as the scattering length as of the two atoms in the free three-dimensional (3D) space. If there is a CIR which can occur with weak bare interaction, i.e., under the condition $a_{\rm{trap}}\gg a_s$, then it can be realized for much more systems, even without the help of a magnetic Feshbach resonance, and would be very useful. In a previous research by Massignan and Castin (Phys Rev A 74:013616, 2006), it was shown that it is possible to realize such a CIR in a quasi-(3+0)D system, where one ultracold atom is moving in the 3D space and another one is localized by a 3D harmonic trap. In this work we carefully investigate the properties of the CIRs in this system. We show that the CIR with $a_{\rm{trap}}\gg a_s$ can really occur, and the number of the CIRs of this type increases with the mass ratio between the moving and localized atoms. However, when $a_{\rm{trap}}\gg a_s$ the CIR becomes extremely narrow, and thus are difficult to be controlled in realistic experiments.

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