Non-Hermitian Topoelectrical Circuits: Expedient Tools for Topological State Engineering with Gain-Loss Modulation
arXiv:2108.11587
Abstract
The congregation of topological quantum and classical systems with the ideas of non-Hermitian physics has generated enormous research interest in the last few years. While the concepts associated to non-trivial topological aspects have provided us an access to the disorder immune states, non-Hermitian physics, which was initially developed within the framework of quantum field theories, has contributed significantly to the study of open quantum systems. Particularly in optics and photonics, the study of non-Hermitian Hamiltonians with balanced loss and gain has resulted in many counter-intuitive phenomena. However, the experimental realization of such systems is challenging, and the need for alternative platforms for testing theoretical propositions and proof of concept demonstrations is widely felt. In this context, active electrical and electronic circuitry has proved to be a prolific alternative and has been receiving increasing attention; mainly, the topoelectric circuits, in many instances, have facilitated the investigation of topological conceptions in conjunction with non-Hermitian physics, beyond the limitations of the condensed matter systems. This article provides a succinct introduction to these non-Hermitian topoelectrical circuits and will also discuss some of the novel physics of topological insulators and semimetals that can be conveniently realized and explored in such configurations.
References in corpus (27)
- Edge states and topological invariants of non-Hermitian systems
- Exceptional Topology of Non-Hermitian Systems
- 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-Hermitian Chern bands
- Topolectrical circuits
- Floquet Topological Insulators for Sound
- Time Reversal Invariant Topologically Insulating Circuits
- Non-Hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence
- Observation of Quadrupole Transitions and Edge Mode Topology in an LC network
- Non-Hermitian systems and topology: A transfer-matrix perspective
- Gain and loss induced topological insulating phase in a non Hermitian electrical circuit
- Model for Topological Phononics and Phonon Diode
- Non-Hermitian boundary and interface states in nonreciprocal higher-order topological metals and electrical circuits
- Dynamical quantum phase transitions in non-Hermitian lattices
- Non-Hermitian exceptional Landau quantization in electric circuits
- Detecting Topological Phases in Cold Atoms
- Electric circuits for non-Hermitian Chern insulators
- Topological Zak Phase in Strongly-Coupled LC Circuits
- Electric-circuit simulation of the Schrödinger equation and non-Hermitian quantum walks
- Simulating Quantum Spin Hall Effect in Topological Lieb Lattice of Linear Circuit
- Chern insulators for electromagnetic waves in electrical circuit networks
- Nodal Manifolds Bounded by Exceptional Points on Non-Hermitian Honeycomb Lattices and Electrical-Circuit Realizations
- Single-mode lasing based on PT-breaking of two-dimensional photonic higher-order topological insulator
- Topological Photonic Systems: Virtuous Platforms to Study Topological Quantum Matter