Delocalization of non-Hermitian Quantum Walk on Random Media in One Dimension
arXiv:2107.10420 · doi:10.1016/j.aop.2021.168615
Abstract
Delocalization transition is numerically found in a non-Hermitian extension of a discrete-time quantum walk on a one-dimensional random medium. At the transition, an eigenvector gets delocalized and at the same time the corresponding energy eigenvalue (the imaginary unit times the phase of the eigenvalue of the time-evolution operator) becomes complex. This is in accordance with a non-Hermitian extension of the random Anderson model in one dimension, called, the Hatano-Nelson model. We thereby numerically find that all eigenstates of the Hermitian quantum walk share a common localization length.
arXiv comment23 pages, 7 figures, submitted to the Localisation 2020 proceedings section of Annals of Physics
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- Bulk-Edge Correspondence for Point-Gap Topological Phases in Junction Systems
- Boundary-driven many-body phase transitions in a non-Hermitian disordered fermionic chain
- Localization of Lindbladian Fermions
- Entanglement entropy distinguishes PT-symmetry and topological phases in a class of non-unitary quantum walks
- Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension