Control of spin-exchange interaction between alkali-earth-metal atoms via confinement-induced resonances in a quasi-(1+0)-dimensional system
Control of spin-exchange interaction between alkali-earth-metal atoms via confinement-induced resonances in a quasi-(1+0)-dimensional system
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通过准（1 0）维系统中约束引起的共振控制碱土金属原子之间的自旋交换相互作用
DOI：
10.1103/physreva.98.043627
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发表时间：
2018-10
影响因子：
2.9
通讯作者：
Peng Zhang
中科院分区：
文献类型：
--
作者：
Ren Zhang;Peng Zhang
超冷费米子碱土类原子处于电子$^{1}{\rmS}_{0}$态（$g$-态）和$^{3}{\rmP}_{0}$态（$e$-态）时，原子之间存在核-自旋交换相互作用，这是近藤效应量子模拟的重要组成部分.我们研究的控制这种自旋交换相互作用的两个原子同时限制在一个准一维（准1D）管，其中的$g$-原子是自由移动的轴向方向，而$e$-原子是进一步本地化的一个额外的轴向陷阱和行为作为一个准零维（准0 D）杂质。在该系统中，两个原子在偶数和奇数分波通道中经历有效的一维自旋交换相互作用，其强度可以通过限制诱导共振（CIR）由限制的特征长度来控制。在目前的工作中，我们超越了纯一维近似。我们分别用有限特征长度的简谐势阱a_\perp$和a_z$模拟了横向和轴向的束缚，精确地求解了这两个原子之间的“准一维+准一维”散射问题.使用的解决方案，我们得到了有效的一维自旋交换相互作用和调查的位置和宽度的偶/奇波CIR为我们的系统。
研究发现，当a_z/a_\perp$较大时，较弱的约束条件也能诱导出CIR，这在实验上更容易实现。
我们的结果和最近的实验结果之间的比较表明，实验观察到的两个共振分支的自旋交换效应是由于偶波CIR和奇波CIR，分别。我们的结果对于控制和描述准1+0维系统中超冷原子间的有效自旋交换相互作用或其他类型的相互作用是有利的。
A nuclear-spin exchange interaction exists between two ultracold fermionic alkali-earth (like) atoms in the electronic $^{1}{\rm S}_{0}$ state ($g$-state) and $^{3}{\rm P}_{0}$ state ($e$-state), and is an essential ingredient for the quantum simulation of Kondo effect. We study the control of this spin-exchange interaction for two atoms simultaneously confined in a quasi-one-dimensional (quasi-1D) tube, where the $g$-atom is freely moving in the axial direction while the $e$-atom is further localized by an additional axial trap and behaves as a quasi-zero-dimensional (quasi-0D) impurity. In this system, the two atoms experience effective-1D spin-exchange interactions in both even and odd partial wave channels, whose intensities can be controlled by the characteristic lengths of the confinements via the confinement-induced-resonances (CIRs). In current work, we go beyond that pure-1D approximation. We model the transverse and axial confinements by harmonic traps with finite characteristic lengths $a_\perp$ and $a_z$, respectively, and exactly solve the "quasi-1D + quasi-0D" scattering problem between these two atoms. Using the solutions we derive the effective 1D spin-exchange interaction and investigate the locations and widths of the even/odd wave CIRs for our system.
It is found that when the ratio $a_z/a_\perp$ is larger, the CIRs can be induced by weaker confinements, which are easier to be realized experimentally.
The comparison between our results and the recent experiment shows that the two experimentally observed resonance branches of the spin-exchange effect are due to an even-wave CIR and an odd-wave CIR, respectively. Our results are advantageous for the control and description of either the effective spin-exchange interaction or other types of interactions between ultracold atoms in quasi 1+0 dimensional systems.
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影响因子：
8.6
作者：
L. Pricoupenko
通讯作者：
L. Pricoupenko
影响因子：
8.6
作者：
L. Isaev;A. Rey
通讯作者：
L. Isaev;A. Rey
接近奇波共振的通用一维原子气体
影响因子：
2.9
作者：
Cui Xiaoling
通讯作者：
Cui Xiaoling
一维光学晶格中无自旋费米气体的共振散射和微观模型
影响因子：
2.9
作者：
Cui Xiaoling
通讯作者：
Cui Xiaoling
DOI：
10.1088/1742-6596/264/1/012016
发表时间：
2011-01
期刊：
Journal of Physics: Conference Series
影响因子：
--
作者：
F. Minardi;G. Barontini;J. Catani;G. Lamporesi;Y. Nishida;M. Inguscio
通讯作者：
F. Minardi;G. Barontini;J. Catani;G. Lamporesi;Y. Nishida;M. Inguscio