论文标题

由假想AC场驱动的二聚体链的量子相变

The quantum phase transitions of dimer chain driven by an imaginary ac field

论文作者

Liu, C. S.

论文摘要

提出了拓扑等效的紧密结合模型,以研究由假想AC场驱动的二聚体链的量子相变。我演示了合作伙伴哈密顿人是如何通过相似性转换来构建的,以实现$ \ Mathcal {pt} $对称性。合作伙伴模型的$ \ Mathcal {pt} $对称性使我们能够将原始非热模型的拓扑特性作为Hermitian系统的Bloch频段。以不同的频率制度讨论量子相变。该方法具有研究复杂外部参数驱动的物质拓扑状态的潜在应用。

A topologically equivalent tight binding model is proposed to study the quantum phase transitions of dimer chain driven by an imaginary ac field. I demonstrate how the partner Hamiltonian is constructed by a similarity transformation to fulfil the $\mathcal{PT}$ symmetry. The $\mathcal{PT}$ symmetry of the partner model allows us to study the topological properties of the original non-Hermitian model as the Bloch bands of the Hermitian system. The quantum phase transitions are discussed in different frequency regime. The approach has the potential applications to investigate the topological states of matter driven by the complex external parameters.

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