相互作用玻色子系统中的反常单极
Anomalous Monopole In an Interacting Boson System
摘要：
在双模相互作用玻色子系统的半经典理论中，发现了盘形的反常双折射现象。这种反常现象的量子起源是半经典极限下玻色子之间的相互作用引起的Berry曲率场线的坍缩或集束。这种反常的反常现象具有双重意义：（1）它标志着冯·诺伊曼-维格纳定理在半经典极限下的失败;（2）它表明量子动力学和经典动力学之间的对应原理的崩溃。
英文摘要：
Anomalous monopole of disk shape is found to exist in the semiclassical theory of a two-mode interacting boson system. The quantum origin of this anomaly is the collapsing or bundling of field lines of Berry curvature caused by the interaction between bosons in the semiclassical limit. The significance of this anomalous monopole is twofold: (1) it signals the failure of the von Neumann-Wigner theorem in the semiclassical limit; (2) it indicates a breakdown of the correspondence principle between quantum and classical dynamics.
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