Eigenvalues restricted by Lyapunov exponent of eigenstates

Tong Liu; Xu Xia

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arXiv · 2206.09803

Eigenvalues restricted by Lyapunov exponent of eigenstates

Tong Liu·Xu Xia

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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.

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Tong Liu, Xu Xia. 2022-06-20. Eigenvalues restricted by Lyapunov exponent of eigenstates. https://arxiv.org/abs/2206.09803

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