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Abstract: We study the topological properties of quantum states for the spinlessparticle hopping in a Mobius ladder. This system can be regarded as a moleculardevice possibly engineered from the aromatic Mobius annulenes, which enjoys apseudo-spin orbital interaction described by a non-Abelian gauge structure. Itresults from the nontrivial topology of configuration space, and results invarious observable effects, such as optical spectral splitting. Thetransmission spectrum through the Mobius molecular device is calculated todemonstrate a topological effect as a destructive interferences in theconduction band. The induced interaction also leads to an entanglement betweenthe transverse and longitudinal modes for any locally factorized state.



Author: Nan Zhao, H. Dong, Shuo Yang, C. P. Sun

Source: https://arxiv.org/







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