Pouthier Vincent
Institut UTINAM, Université de Franche-Comté, CNRS UMR 6213, 25030 Besançon Cedex, France.
Phys Rev E. 2022 Apr;105(4-1):044304. doi: 10.1103/PhysRevE.105.044304.
The attractive Bose-Hubbard model is applied for describing the two-exciton dynamics in a nonlinear quantum star graph. When the excitons are created on the core of the star, it is shown that the interplay between the complex architecture of the network and the nonlinearity favors the occurrence of a real quantum self-trapping. Quite weak in the small nonlinearity limit, this self-localization is enhanced as the nonlinearity increases. This feature originates in the restructuring of the two-exciton eigenstates whose localized nature intensifies with the nonlinearity. Nevertheless, the quantum self-trapping is never complete since it is impossible to localize the entire exciton density, even in the strong nonlinearity limit.
具有吸引力的玻色-哈伯德模型被用于描述非线性量子星型图中的双激子动力学。当激子在星型结构的核心处产生时，研究表明网络的复杂结构与非线性之间的相互作用有利于真实量子自陷的发生。在小非线性极限下这种自陷效应很微弱，随着非线性的增加它会增强。这一特性源于双激子本征态的重构，其局域性质随着非线性增强。然而，量子自陷永远不会完全实现，因为即使在强非线性极限下，也不可能将整个激子密度局域化。
