Analytical solution for the spectrum of two ultracold atoms in a completely anisotropic confinement
Analytical solution for the spectrum of two ultracold atoms in a completely anisotropic confinement
复制标题
完全各向异性约束中两个超冷原子光谱的解析解
DOI：
10.1103/physreva.101.053624
复制
发表时间：
2020-02
影响因子：
2.9
通讯作者：
Peng Zhang
中科院分区：
文献类型：
--
作者：
Yue Chen;Da-Wu Xiao;Ren Zhang;Peng Zhang
We study the system of two ultracold atoms in a three-dimensional (3D) or two-dimensional (2D) completely anisotropic harmonic trap. We derive the algebraic equation J_{3D}(E) = 1/a_{3D} (J_{2D}(E) = ln a_{2D}) for the eigen-energy E of this system in the 3D (2D) case, with a_{3D} and a_{2D} being the corresponding s-wave scattering lengths, and provide the analytical expressions of the functions J_{3D}(E) and J_{2D}(E). In previous researches this type of equation was obtained for spherically or axially symmetric harmonic traps (T. Busch, et. al., Found. Phys. 28, 549 (1998); Z. Idziaszek and T. Calarco, Phys. Rev. A 74, 022712 (2006)). However, for our cases with a completely anisotropic trap, only the equation for the ground-state energy of some cases has been derived (J. Liang and C. Zhang, Phys. Scr. 77, 025302 (2008)). Our results in this work are applicable for arbitrary eigen-energy of this system, and can be used for the studies of dynamics and thermal-dynamics of interacting ultracold atoms in this trap, e.g., the calculation of the 2nd virial coefficient or the evolution of two-body wave functions. In addition, our approach for the derivation of the above equations can also be used for other two-body problems of ultracold atoms.
登录
查看更多内容
影响因子：
2.9
作者：
X. Yin;D. Blume
通讯作者：
X. Yin;D. Blume
影响因子：
8.6
作者：
X. Yin;Hui Hu;Xiaji Liu
通讯作者：
X. Yin;Hui Hu;Xiaji Liu
影响因子：
8.6
作者：
L. Riegger;N. Oppong;M. Hofer;D. R. Fernandes;I. Bloch;S. Folling
通讯作者：
L. Riegger;N. Oppong;M. Hofer;D. R. Fernandes;I. Bloch;S. Folling
影响因子：
8.6
作者：
S. Sala;G. Zürn;T. Lompe;A. Wenz;Simon Murmann;F. Serwane;S. Jochim;Alejandro Saenz
通讯作者：
S. Sala;G. Zürn;T. Lompe;A. Wenz;Simon Murmann;F. Serwane;S. Jochim;Alejandro Saenz
影响因子：
2.9
作者：
D. Blume;C. Greene
通讯作者：
D. Blume;C. Greene