论文标题
特征值受特征态的lyapunov指数限制
Eigenvalues restricted by Lyapunov exponent of eigenstates
论文作者
论文摘要
我们指出,特征态的Lyapunov指数对特征值施加了限制。因此,关于非炎性系统,即使没有任何对称性,非保守的哈密顿量也可以表现出真实的光谱,只要特征状态的lyapunov指数抑制特征值的假想部分。我们的发现开辟了一条新的研究非炎症物理学的途径。
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.