Parallel dynamics between non-Hermitian and Hermitian systems
Quantum Physics
2018-06-06 v1
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.
Cite
@article{arxiv.1704.04115,
title = {Parallel dynamics between non-Hermitian and Hermitian systems},
author = {P. Wang and S. Lin and L. Jin and Z. Song},
journal= {arXiv preprint arXiv:1704.04115},
year = {2018}
}