Selective and tunable excitation of topological non-Hermitian skin modes
arXiv:2112.04988 · doi:10.1098/rspa.2021.0927
Abstract
Non-Hermitian lattices under semi-infinite boundary conditions sustain an extensive number of exponentially-localized states, dubbed non-Hermitian skin modes. Such states can be predicted from the nontrivial topology of the energy spectrum under periodic boundary conditions via a bulk-edge correspondence. However, the selective excitation of the system in one among the infinitely-many topological skin edge states is challenging both from practical and conceptual viewpoints. In fact, in any realistic system with a finite lattice size most of skin edge states collapse and become metastable states. Here we suggest a route toward the selective and tunable excitation of topological skin edge states which avoids the collapse problem by emulating semi-infinite lattice boundaries via tailored on-site potentials at the edges of a finite lattice. We illustrate such a strategy by considering a non-Hermitian topological interface obtained by connecting two Hatano-Nelson chains with opposite imaginary gauge fields, which is amenable for a full analytical treatment.
arXiv comment14 pages, 7 figures, under review by Proceedings of the Royal Society A
References in corpus (52)
- Topological Photonics
- Edge states and topological invariants of non-Hermitian systems
- Exceptional Topology of Non-Hermitian Systems
- Localization transitions in non-Hermitian quantum mechanics
- Topological phases of non-Hermitian systems
- Symmetry and Topology in Non-Hermitian Physics
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Topological Origin of Non-Hermitian Skin Effects
- Topological Band Theory for Non-Hermitian Hamiltonians
- Anomalous edge state in a non-Hermitian lattice
- Non-Bloch Band Theory of Non-Hermitian Systems
- Correspondence between winding numbers and skin modes in non-hermitian systems
- Non-Hermitian Chern bands
- Observation of bulk boundary correspondence breakdown in topolectrical circuits
- Non-Hermitian Boundary Modes
- Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
- Efficient Light Funneling based on the non-Hermitian Skin Effect
- Anatomy of skin modes and topology in non-Hermitian systems
- Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
- Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
- Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
- Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
- Second-Order Topological Phases in Non-Hermitian Systems
- Non-Hermitian Topological Invariants in Real Space
- Critical non-Hermitian Skin Effect
- Topological phase transition in non-Hermitian quasicrystals
- Reciprocal skin effect and its realization in a topolectrical circuit
- Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
- Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
- New topological invariants in non-Hermitian systems
- Observation of higher-order non-Hermitian skin effect
- Observation of arbitrary topological windings of a non-Hermitian band
- Robust light transport in non-Hermitian photonic lattices
- A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
- Non-Hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence
- Simultaneous Observation of Topological Edge State and Exceptional Point in an Open and Non-Hermitian System
- Exact solution of non-Hermitian systems with generalized boundary conditions: size-dependent boundary effect and fragility of skin effect
- Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
- Knots and Non-Hermitian Bloch Bands
- Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics
- Perspective on topological states of non-Hermitian lattices
- Non-Bloch band collapse and chiral Zener tunneling
- Non-Hermitian transparency and one-way transport in low-dimensional lattices by an imaginary gauge field
- Non-Hermitian gauged topological laser arrays
- Topological classification of non-Hermitian systems with reflection symmetry
- Bulk-boundary correspondence for non-Hermitian Hamiltonians via Green functions
- Anomalous topological edge states in non-Hermitian piezophononic media
- Detecting non-Bloch topological invariants in quantum dynamics
- Ultrafast and Anharmonic Rabi Oscillations between Non-Bloch-Bands
- Non-Markovian Decay and Lasing Condition in an Optical Microcavity Coupled to a Structured Reservoir
- Bulk-edge correspondence and trapping at a non-Hermitian topological interface
- Self-healing of non-Hermitian topological skin modes