Effects of a rotating periodic lattice on coherent quantum states in a ring topology: The case of positive nonlinearity
Effects of a rotating periodic lattice on coherent quantum states in a ring topology: The case of positive nonlinearity
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旋转周期晶格对环形拓扑中相干量子态的影响：正非线性的情况
DOI：
10.1103/physreva.104.053320
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发表时间：
2021
影响因子：
2.9
通讯作者：
Das, Kunal K.
中科院分区：
文献类型：
--
作者：
Huang, Hongyi;Das, Kunal K.
我们研究了在原子间相互作用引起的有效正非线性的超冷原子中，环形晶格势中相干量子态的解的景观。在没有点阵的情况下，用精确解析解作为起点，并在点阵引入和加强时映射解的变换。这种方法允许将所有解简单地分类为周期与晶格周期相称或不相称的状态，以及有或没有节点的状态。它们的起源可以追溯到初级色散曲线和无晶格光谱的燕尾分支。随着晶格深度的增加，相称态趋于离域化，而不相称态可能局域化。研究了解的对称性和稳定性，并与分支能进行了关联。旋转的重要意义在于它在连续变换解和在有限环的几个点上获得无限格上非线性布洛赫波的全谱方面的效用。
We study the landscape of solutions of the coherent quantum states in a ring-shaped lattice potential in the context of ultracold atoms with an effective positive nonlinearity induced by interatomic interactions. The exact analytical solutions in the absence of lattice are used as a starting point, and the transformation of those solutions is mapped as the lattice is introduced and strengthened. This approach allows a simple classification of all the solutions into states with periods commensurate or incommensurate with the lattice period and those with or without nodes. Their origins are traced to the primary dispersion curve and the swallowtail branches of the lattice-free spectrum. The commensurate states tend to remain delocalized with increasing lattice depth, whereas the incommensurate ones may be localized. The symmetry and stability properties of the solutions are examined and correlated with branch energies. The crucial importance of rotation is highlighted by its utility in continuously transforming solutions and accessing in a finite ring with a few sites the full spectrum of nonlinear Bloch waves on an infinite lattice.
环晶格中超冷玻色子原子的离域和超流动性
DOI：
10.1088/0953-4075/46/20/205303
发表时间：
2013
期刊：
Journal of Physics B: Atomic, Molecular and Optical Physics
影响因子：
--
作者：
Fernanda R. Pinheiro;Fernanda R. Pinheiro;Fernanda R. Pinheiro;A. T. Piza
通讯作者：
A. T. Piza