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arXiv · 1704.04115

Parallel dynamics between non-Hermitian and Hermitian systems

P. Wang·S. Lin·L. Jin·Z. Song
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Abstract

We study the connection between a family of non-Hermitian Hamiltonians H and Hermitian ones H based on exact solutions. In general, for a dynamic process in a non-Hermitian system H, there always exists a parallel dynamic process governed by the corresponding Hermitian conjugate Hamiltonian H{\dag}. We show that a linear superposition of the two parallel dynamics is exactly equivalent to the time evolution of a state under a Hermitian Hamiltonian H. It reveals a novel connection between non-Hermitian and Hermitian systems.

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P. Wang, S. Lin, L. Jin, Z. Song. 2017-04-13. Parallel dynamics between non-Hermitian and Hermitian systems. https://doi.org/10.1103/physreva.97.062101

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