论文标题
在四色光学晶格的作用下，在Bose-Einstein冷凝物中孤立波的精确溶液
Exact Solutions for Solitary Waves in a Bose-Einstein Condensate under the Action of a Four-Color Optical Lattice
论文作者
论文摘要
我们解决了带有相应波长和可调强度的一维四色光学晶格（FOL）电势的玻色 - 因斯坦冷凝物（BEC）的动力学。这种配置赋予系统特定的对称属性。该分析确定了FOL电位的特定多参数形式，该形式可以接受确切的单生波解决方案。这种新发现的电位类别包括更特殊的物种，例如沮丧的双孔超晶格，以及双色和三色晶格，这些晶格受到各自的对称约束。我们的精确解决方案为局部模式的密度最大值的可控定位提供了选择，以及在沮丧的潜力中可调的类似安德森的本地化。进行数值分析以建立所获得的溶液的动力稳定性和结构稳定性，这使它们与实验实现有关。新发现的解决方案为量子模拟和处理量子信息的方案设计提供了应用。
We address dynamics of Bose-Einstein condensates (BECs) loaded into a one-dimensional four-color optical lattice (FOL) potential with commensurate wavelengths and tunable intensities. This configuration lends system-specific symmetry properties. The analysis identifies specific multi-parameter forms of the FOL potential which admits exact solitary-wave solutions. This newly found class of potentials includes more particular species, such as frustrated double-well superlattices, and bi-chromatic and three-color lattices, which are subject to respective symmetry constraints. Our exact solutions provide options for controllable positioning of density maxima of the localized patterns, and tunable Anderson-like localization in the frustrated potential. A numerical analysis is performed to establish dynamical stability and structural stability of the obtained solutions, which makes them relevant for experimental realization. The newly found solutions offer applications to the design of schemes for quantum simulations and processing quantum information.
