Manipulating non-Hermitian skin effect via electric fields

Abstract

In non-Hermitian systems, the phenomenon that the bulk-band eigenstates are accumulated at the boundaries of the systems under open boundary conditions is called non-Hermitian skin effect (NHSE), which is one of the most iconic and important features of a non-Hermitian system. In this work, we investigate the fate of NHSE in the presence of electric fields by analytically calculating the dynamical evolution of an initial bulk state and numerically computing the spectral winding number, the distributions of eigenstates, as well as the dynamical evolutions. We show abundant manipulation effects of dc and ac fields on the NHSE, and that the physical mechanism behind these effects is the interplay between the Stark localization, dynamic localization and the NHSE. In addition, the finite size analysis of the non-Hermitian system with a pure dc field shows the phenomenon of size-dependent NHSE. We further propose a scheme to realize the discussed model based on an electronic circuit. The results will help to deepen the understanding of NHSE and its manipulation.

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Cited by in corpus (13)

• Topological Non-Hermitian skin effect
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• Accelerating Relaxation Dynamics in Open Quantum System with Liouvillian Skin Effect
• Modified Generalized-Brillouin-Zone Theory with On-site Disorders
• Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
• Pseudomagnetic suppression of non-Hermitian skin effect
• Exact non-Hermitian mobility edges and robust flat bands in two-dimensional Lieb lattices with imaginary quasiperiodic potentials
• Engineering imaginary stark ladder in a dissipative lattice: passive $\mathcal{P}\mathcal{T}$ symmetry, K symmetry and localized damping
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• Mixedness timescale in non-Hermitian quantum systems
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• Generic non-Hermitian mobility edges in a class of duality-breaking quasicrystals