• Corpus ID: 92979368

Chiral symmetry in non-Hermitian systems: product rule, Clifford algebra and pseudo-chirality

@article{Rivero2019ChiralSI,
  title={Chiral symmetry in non-Hermitian systems: product rule, Clifford algebra and pseudo-chirality},
  author={Jose D. H. Rivero and Li Ge},
  journal={arXiv: Quantum Physics},
  year={2019}
}
Chiral symmetry provides the symmetry protection for a large class of topological edge states. It exists in non-Hermitian systems as well, and the same anti-commutation relation between the Hamiltonian and a linear chiral operator, i.e., $\{H,\Pi\}=0$, now warrants a symmetric spectrum about the origin of the complex energy plane. Here we show two general approaches to construct chiral symmetry in non-Hermitian systems, with an emphasis on lattices with detuned on-site potentials that can vary… 

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