Eigenvalues restricted by Lyapunov exponent of eigenstates
Quantum Physics
2022-06-22 v1 Disordered Systems and Neural Networks
Mathematical Physics
math.MP
Abstract
We point out that the Lyapunov exponent of the eigenstate places restrictions on the eigenvalue. Consequently, with regard to non-Hermitian systems, even without any symmetry, the non-conservative Hamiltonians can exhibit real spectra as long as Lyapunov exponents of eigenstates inhibit imaginary parts of eigenvalues. Our findings open up a new route to study non-Hermitian physics.
Keywords
Cite
@article{arxiv.2206.09803,
title = {Eigenvalues restricted by Lyapunov exponent of eigenstates},
author = {Tong Liu and Xu Xia},
journal= {arXiv preprint arXiv:2206.09803},
year = {2022}
}