Observation of non-local impedance response in a passive electrical circuit

Abstract

In media with only short-ranged couplings and interactions, it is natural to assume that physical responses must be local. Yet, we discover that this is not necessarily true, even in a system as commonplace as an electric circuit array. This work reports the experimental observation of non-local impedance response in a designed circuit network consisting exclusively of passive elements such as resistors, inductors and capacitors (RLC). Measurements reveal that the removal of boundary connections dramatically affects the two-point impedance between certain distant nodes, even in the absence of any amplification mechanism for the voltage signal. This non local impedance response is distinct from the reciprocal non-Hermitian skin effect, affecting only selected pairs of nodes even as the circuit Laplacian exhibits universally broken spectral bulk-boundary correspondence. Surprisingly, not only are component parasitic resistances unable to erode the non-local response, but they in fact give rise to novel loss-induced topological modes at sufficiently large system sizes, constituting a new manifestation of the critical non-Hermitian skin effect. Our findings chart a new route towards attaining non-local responses in photonic or electrical metamaterials without involving non-linear, non-local, active or amplificative elements.

arXiv comment11 pages, 8 figures

References in corpus (52)

• Bell nonlocality
• Edge states and topological invariants of non-Hermitian systems
• Localization transitions in non-Hermitian quantum mechanics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• 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
• 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
• Topolectrical circuits
• Non-Hermitian skin effect and chiral damping in open quantum 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
• Critical non-Hermitian Skin Effect
• Non-Hermitian Topological Sensors
• Reciprocal skin effect and its realization in a topolectrical circuit
• Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits
• Higher-order non-Hermitian skin effect
• Time Reversal Invariant Topologically Insulating Circuits
• Topological properties of linear circuit lattices
• Chiral voltage propagation in a self-calibrated topolectrical Chern circuit
• Quantum Noise Theory of Exceptional Point Sensors
• Robust light transport in non-Hermitian photonic lattices
• Gain and loss induced topological insulating phase in a non Hermitian electrical circuit
• Impurity induced scale-free localization
• Entanglement and non-locality are different resources
• Topologically Enhanced Harmonic Generation in a Nonlinear Transmission Line Metamaterial
• Simulating hyperbolic space on a circuit board
• Topolectric circuits: Theory and construction
• Non-Hermitian exceptional Landau quantization in electric circuits
• 4D spinless topological insulator in a periodic electric circuit
• Observation of non-Hermitian topology with non-unitary dynamics of solid-state spins
• Imaging nodal knots in momentum space through topolectrical circuits
• Non-integer optical modes in a Möbius-ring resonator
• Experimental Observation of Berry Phases in Optical Moebius-strip Microcavities
• Nonlinearity induced topological physics in momentum space and real space
• Quantized classical response from spectral winding topology
• Non-Hermitian Pseudo-Gaps
• Holographic entanglement entropy probes (non)locality
• Boundary states of 4D topological matter: Emergence and full 3D-imaging of nodal Seifert surfaces
• Local and nonlocal order parameters in the Kitaev chain
• Universal competitive spectral scaling from the critical non-Hermitian skin effect
• Designing non-Hermitian real spectra through electrostatics
• Electric circuit simulations of $n$th-Chern insulators in $2n$-dimensional space and their non-Hermitian generalizations for arbitral $n$
• Zoology of non-Hermitian spectra and their graph topology
• Observation of cnoidal wave localization in non-linear topolectric circuits
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• Scaling rule in critical non-Hermitian skin effect

Cited by in corpus (5)

• Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
• Percolation-induced PT symmetry breaking
• Exact Solutions Disentangle Higher-Order Topology in 2D Non-Hermitian Lattices
• Engineering topological states and quantum-inspired information processing using classical circuits
• Wiener-Hopf factorization and non-Hermitian topology for Amoeba formulation in one-dimensional multiband systems