文献详情
Tight-binding Kondo model and spin-exchange collision rate of alkaline-earth-metal atoms in a mixed-dimensional optical lattice
文献类型：期刊
通讯作者：Zhang, R (reprint author), Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China.; Zhang, R (reprint author), Shaanxi Prov Key Lab Quantum Informat & Quantum O, Xian 710049, Peoples R China.; Zhang, P (reprint author), Renmin Univ China, Dept Phys, Beijing 100872, Peoples R China.; Zhang, P (reprint author), Beijing Computat Sci Res Ctr, Beijing 100084, Peoples R China.
期刊名称：PHYSICAL REVIEW A影响因子和分区
年：2020
卷：101
期：1
ISSN：2469-9926
所属部门：物理学系
摘要：We study the two-body problem of ultracold fermionic alkaline-earth-metal-(like) atoms in the electronic 1S(0) state (g-state) and P-3(0) state (e-state) which are confined in a quasi-one-dimensional (quasi-1D) tube simultaneously, where in the axial direction the g-atom experiences a 1D optical lattice and the e-atom is localized by a harmonic potential. Due to the nuclear-spin exchange interaction between the g- and e-atoms, one can use such a quasi-(1 + 0)D system to realize the Kondo effect. ...More
We study the two-body problem of ultracold fermionic alkaline-earth-metal-(like) atoms in the electronic 1S(0) state (g-state) and P-3(0) state (e-state) which are confined in a quasi-one-dimensional (quasi-1D) tube simultaneously, where in the axial direction the g-atom experiences a 1D optical lattice and the e-atom is localized by a harmonic potential. Due to the nuclear-spin exchange interaction between the g- and e-atoms, one can use such a quasi-(1 + 0)D system to realize the Kondo effect. We suggest two tight-binding models for this system, for the cases that the odd-wave scattering between the g-and e-atoms is negligible or not, respectively. Moreover, we give a microscopic derivation for the interatomic interaction parameters of these models, by explicitly calculating the quasi-(1 + 0)D low-energy scattering amplitude of the g- and e-atoms in this system and matching this exact result with the ones given by tight-binding models. We illustrate our results for the experimental systems of ultracold Yb-173 and Yb-171 atoms and show the control effect of the confinement potentials on these model parameters. Furthermore, the validity of the simple "projection approximation" is examined. In this approximation, one derives the interaction parameters of the tight-binding models by directly projecting the three-dimensional (3D) Huang-Yang pseudopotential on the ground state of the confinement and the lowest band of the optical lattice. This approximation is supposed to be correct when the 3D interatomic scattering length a(s) is much smaller than the characteristic lengths (CLs) of the confinements. However, we find that for our system this approximation already does not work when a(s) is only of the order of 10% of the confinement CLs. Using the exact two-atom scattering amplitude, we also calculate the spin-exchanging rate (i.e., the cross section of the spin-exchanging collision between the g- and e-atoms) for the recent experiment [L. Riegger et al., Phys. Rev. Lett. 120, 143601 (2018)] of Yb-173 atoms in this quasi-(1 + 0)D system and investigate finite-quasimomentum effect of the g-atoms in this experiment. Our results show that this effect is very significant. ...Hide

DOI：10.1103/PhysRevA.101.013636
百度学术：Tight-binding Kondo model and spin-exchange collision rate of alkaline-earth-metal atoms in a mixed-dimensional optical lattice
语言：外文
人气指数：5
浏览次数：5
基金：National Key R&D Program of China [2018YFA0306502, 2018YFA0307601]; NSFCNational Natural Science Foundation of China [11804268, 11434011, 11674393]; Research Funds of Renmin University of China [16XNLQ03]
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