Reversing non-Hermitian skin accumulation with a non-local transverse switch

Abstract

Asymmetrically directed couplings in non-Hermitian systems cause directional amplification that leads to boundary skin state accumulation. However, counter-intuitively, the direction of accumulation may not follow that of the directed couplings. In this work, we demonstrate new mechanisms where this accumulation can be systematically reversed without modifying the couplings at all, just by adjusting the system size or boundary conditions in a different, transverse direction. Moreover, the reversed skin dynamics can be made very robust by suppressing the amplification in the original non-reversed direction. We motivate our approach through a series of warm-up models, culminating in a designed non-Hermitian Kagome lattice whereby wavepacket simulations demonstrate how robust reversed skin dynamics can be switched on/off in a non-local transverse manner. Our findings highlight how the non-trivial entanglement between the spectral loops of different PBC directions can be harnessed as a directional amplification switch, paving the way for new avenues of non-Hermitian sensing and lasing.

arXiv commentAny comments are welcome

References in corpus (32)

• Edge states and topological invariants of non-Hermitian systems
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Localization transitions in non-Hermitian quantum mechanics
• Topological Origin of Non-Hermitian Skin Effects
• Anomalous edge state in a non-Hermitian lattice
• Observation of bulk boundary correspondence breakdown in topolectrical circuits
• 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
• Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
• Non-Hermitian Topological Sensors
• Higher-order non-Hermitian skin effect
• Topological defect engineering and PT-symmetry in non-Hermitian electrical circuits
• Experimental Realization of a Measurement-Induced Entanglement Phase Transition on a Superconducting Quantum Processor
• Simple formulas of directional amplification from non-Bloch band theory
• Unraveling non-Hermitian pumping: emergent spectral singularities and anomalous responses
• Dimensional transmutation from non-Hermiticity
• Simulation of interaction-induced chiral topological dynamics on a digital quantum computer
• Designing non-Hermitian real spectra through electrostatics
• Sensitivity of non-Hermitian systems
• Geometry-dependent skin effects in reciprocal photonic crystals
• Non-Hermitian boundary spectral winding
• Non-Hermitian skin effect edge
• Direction reversal of non-Hermitian skin effect via coherent coupling
• Activating non-Hermitian skin modes by parity-time symmetry breaking
• Percolation-induced PT symmetry breaking
• Tailoring Bound State Geometry in High-Dimensional Non-Hermitian Systems
• Concentrated subradiant modes in one-dimensional atomic array coupled with chiral waveguides
• Beyond the non-Hermitian skin effect: scaling-controlled topology from Exceptional-Bound Bands
• Non-Hermitian ultra-strong bosonic clustering through interaction-induced caging