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arXiv 1402.3165quant-phcond-mat.mes-hall
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PT对称光学超晶格

PT-symmetric optical superlattices

Stefano Longhi

摘要:

从理论上研究了$\mathcal{PT}$对称光学超晶格的光谱和局域化性质,得到了能谱为实的判据。分析适用于超晶格的情况下,描述一个复杂的($\mathcal{PT}$对称)扩展的哈珀哈密顿在合理的情况下。

英文摘要:

The spectral and localization properties of $\mathcal{PT}$-symmetric optical superlattices, either infinitely extended or truncated at one side, are theoretically investigated, and the criteria that ensure a real energy spectrum are derived. The analysis is applied to the case of superlattices describing a complex ($\mathcal{PT}$-symmetric) extension of the Harper Hamiltonian in the rational case.

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