2020/12/06 by Zhesen Yang, Yang, Zhesen · 1 citation
Physics and Astronomy · #Random lasers and scattering media #Quantum optics and atomic interactions #Quantum Mechanics and Applications
paper · pdf · doi:10.48550/arxiv.2012.03333
In conventional Hermitian systems with the open boundary condition, Bloch's theorem is perturbatively broken down, which means although the crystal momentum is not a good quantum number, the eigenstates are the superposition of several extended Bloch waves. In this paper, we show that Bloch's theorem can be non-perturbatively broken down in some Hermitian Bosonic systems. The quasiparticles of the system are the superposition of localized non-Bloch waves, which are characterized by the complex momentum whose imaginary part determines the localization properties. Our work is a Hermitian generalization of the non-Hermitian skin effect, although they share the same mechanism.