耦合拓扑边缘态的对称破缺分支
Symmetry-breaking bifurcation of coupled topological edge states
AI总结：
该研究通过非线性拓扑晶格中的耦合拓扑边缘态对称破缺分支，揭示了自发对称破缺的通用机制。
摘要：
我们提出，耦合拓扑边缘态（CTESs）的对称破缺分支可以作为在非线性拓扑晶格中实现自发对称破缺（SSB）的一般原则。以由两个Su-Schrieffer-Heeger（SSH）链组成的光学谐振器阵列为例，我们发现当非线性强度增加时，对称的CTESs经历超临界分支。超过临界阈值后，原本稳定的对称状态变得不稳定，导致形成一对稳定的不对称状态。对称CTESs的两侧均表现出子晶格极化，而被主要占据的不对称CTESs侧则表现出更强的子晶格极化。我们进一步发现，随着链间耦合增强，稳定CTESs的频率范围扩大，而稳定不对称CTESs的频率范围减小。我们的工作为在非线性拓扑晶格中实现SSB提供了一种通用机制。
英文摘要：
We propose that the symmetry-breaking bifurcation of coupled topological edge states (CTESs) can be used as a general principle for achieving spontaneous symmetry breaking (SSB) in a nonlinear topological lattice. Using an optical resonator array composed of two Su-Schrieffer-Heeger (SSH) chains as an example, we find that as the nonlinearity strength increases, the symmetric CTESs undergo a supercritical bifurcation. Beyond the critical threshold, the originally stable symmetric state becomes unstable, leading to the formation of a pair of stable asymmetric states. Both sides of the symmetric CTESs exhibit sublattice polarization, while the side of the asymmetric CTESs that is predominantly occupied demonstrates stronger sublattice polarization. We further find that as interchain coupling increases, the frequency range for stable CTESs expands, while the frequency range for stable asymmetric CTESs decreases. Our work provides a universal mechanism for realizing SSB in nonlinear topological lattices.
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