Abstract Robust boundary states epitomize how deep physics can give rise to concrete experimental signatures with technological promise. Of late, much attention has focused on two distinct mechanisms for robustness—topological protection, as well the non-Hermitian skin effect. In this work, we report realizations of hybrid higher-order skin-topological effect, in which effect selectively acts only topological modes, not bulk modes. Our experiments, are performed specially designed...

Recently, a new family of symmetry-protected higher-order topological insulators has been proposed and was shown to host lower-dimensional boundary states. However, with the existence strong disorder in bulk, crystal symmetry is broken, associated corner states are disappeared. It well known that emergence robust edge quantized transport can be induced by adding sufficient disorders into topologically trivial insulator, so-called Anderson insulator. The question whether also cause phase....

Recent theoretical studies have extended the Berry phase framework to account for higher electric multipole moments; quadrupole and octupole topological phases been proposed. Although two-dimensional quantized insulators demonstrated experimentally, not previously observed experimentally. Here we report on experimental realization of a classical analog insulator in circuit system. Three-dimensional topolectrical circuits realizing such are constructed We observe states protected by topology...

Abstract Based on the correspondence between circuit Laplacian and Schrodinger equations, recent investigations have shown that classical electric circuits can be used to simulate various topological physics Schrödinger's equation. Furthermore, a series of quantum‐inspired information processing has been implemented by using networks. In this review, similarity lattice Hamiltonian is analyzed, with introduced based circuits. Subsequently, reviews research progress in are provided, including...

It is very attractive to explore topological physics beyond three-dimensional space. This work experimentally demonstrates the realization of a classical analog higher order/dimensional phases in electric circuits. Multiple robust corner states have been observed. These result from nontrivial hexadecapole moment and may potential applications field signal processing with multiple channels. The authors expect that experimental access circuits can provide valuable reference for investigating...

ABSTRACT Sensors are of fundamental importance and widely used in modern society, such as industry environmental monitoring, biomedical sample ingredient analysis wireless networks. Although numerous sensors have been developed, there is a continuous demand for with increased sensitivity, to detect signals that were previously undetectable. Recently, non-Hermitian degeneracies, also known exceptional points (EPs), attracted attention way improving the responsiveness sensors. In contrast...

The key obstacle to the realization of a scalable quantum computer is overcoming environmental and control errors. Topological computation attracts great attention because it emerges as one most promising approaches solving these problems. Various theoretical schemes for building topological have been proposed. However, experimental implementation has always challenge proved be extremely difficult create manipulate qubits in real systems. Therefore, not realized experiments yet. Herein,...

Moir\'e superlattices in the twisted bilayer graphene provide an unprecedented platform to investigate a wide range of exotic quantum phenomena. Recently, twist degree freedom has been introduced into various classical wave systems, giving rise new ideas for control. The question is whether twistronics and moir\'e physics can be extended electronics with potential applications twist-enabled signal processing. Here, we demonstrate both theory experiment that lots fascinating engineered using...

Knots are fascinating topological structures that have been observed in various contexts, ranging from micro-worlds to macro-systems, and conjectured play a fundamental role their respective fields. In order characterize physical properties, some invariants introduced, such as unknotting number, bridge Jones polynomial so on. While these proven theoretically describe the properties of knots, they remained unexplored experimentally because difficulty associated with control. Herein, we report...

Abstract Robust boundary states epitomize how deep physics can give rise to concrete experimental signatures with technological promise. Of late, much attention has focused on two distinct mechanisms for robustness - topological protection, as well the non-Hermitian skin effect. In this work, we report first realizations of hybrid higher-order skin-topological effect, in which effect selectively acts only modes, not bulk modes. Our experiments, are performed specially designed non-reciprocal...

Based on the correspondence between circuit Laplacian and Schrodinger equation, recent investigations have shown that classical electric circuits can be used to simulate various topological physics Schrodinger's equation. Furthermore, a series of quantum-inspired information processing been implemented by using networks. In this review, we begin analyzing similarity lattice Hamiltonian, introducing based circuits. Subsequently, provide reviews research progress in circuit, including...

Exceptional bound (EB) states represent an unique new class of robust protected by the defectiveness non-Hermitian exceptional points. Conceptually distinct from more well-known topological and skin states, they were recently discovered as a novel source negative entanglement entropy in quantum context. Yet, EB have been physically elusive, being originally interpreted probability eigenstates propagator Fermi gases. In this work, we show that are fact far ubiquitous, also arising robustly...

The key obstacle to the realization of a scalable quantum computer is overcoming environmental and control errors. Topological computation has attracted great attention because it emerged as one most promising approaches solving these problems. Various theoretical schemes for building topological have been proposed. However, experimental implementation always challenge proved be extremely difficult create manipulate qubits in real systems. Therefore, not realized experiments yet. Here, we...