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arXiv · 1001.3949

Physics counterpart of the PT non-hermitian tight-binding chain

L. Jin·Z. Song
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Abstract

We explore an alternative way of finding the link between a PT non-Hermitian Hamiltonian and a Hermitian one. Based on the analysis of the scattering problem for an imaginary potential and its time reversal process, it is shown that any real-energy eigenstate of a PT tight-binding lattice with on-site imaginary potentials shares the same wave function with a resonant transmission state of the corresponding Hermitian lattice embedded in a chain. It indicates that the PT eigenstate of a PT non-Hermitian Hamiltonian has connection to the resonance transmission state of the extended Hermitian Hamiltonian.

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L. Jin, Z. Song. 2010-01-22. Physics counterpart of the PT non-hermitian tight-binding chain. https://doi.org/10.1103/physreva.81.032109

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