Non-abelian gauge fields in circuit systems

Abstract

Circuits can provide a platform to study novel physics and have been used, for example, to explore various topological phases. Gauge fields-particularly, non-Abelian gauge fields-can play a pivotal role in the design and modulation of novel physical states, but their circuit implementation has so far been limited. Here we show that non-Abelian gauge fields can be synthesized in circuits created from building blocks that consist of capacitors, inductors and resistors. With these building blocks, we create circuit designs for the spin-orbit interaction and the topological Chern state, which are phenomena that represent non-Abelian gauge fields in momentum space. We also use the approach to design non-reciprocal circuits that can be used to implement the non-Abelian Aharonov-Bohm effect in real space.

References in corpus (4)

• Topological properties of linear circuit lattices
• Topolectrical-circuit octupole insulator with topologically protected corner states
• Optical analogue of Dresselhaus spin-orbit interaction in photonic graphene
• Electrically tunable artificial gauge potential for polaritons

Cited by in corpus (20)

• Non-Abelian lattice gauge fields in the photonic synthetic frequency dimension
• Realization of a Hopf insulator in circuit systems
• Non-Abelian inverse Anderson transitions
• Synthetic non-Abelian gauge fields for non-Hermitian systems
• Observation of Large-Number Corner Modes in $\mathbb{Z}$-class Higher-Order Topolectrical Circuits
• Observation of scale-free localized states induced by non-Hermitian defects
• Anderson Delocalization in Strongly Coupled Disordered Non-Hermitian Chains
• Non-Hermitian Dirac cones with valley-dependent lifetimes
• Non-Abelian Braiding of Topological Edge Bands
• Engineering topological states and quantum-inspired information processing using classical circuits
• Implementing non-Abelian Hatano-Nelson model in electric circuits
• Upper bound of a band complex
• Additive rule of real and reciprocal space topologies at disclinations
• Observation of edge solitons and transitions between them in a trimer circuit lattice
• Quantum Transports in Two-Dimensions with Long Range Hopping: Shielding, Localization and the Extended Isolated State
• Topological analysis of the complex SSH model using the quantum geometric tensor
• Boundary Flat Bands with Topological Spin Textures Protected by Sub-chiral Symmetry
• Electric circuit analog of Landau-Zener tunneling using time-varying elements
• Eigenvalues bifurcating from the continuum in two-dimensional potentials generating non-Hermitian gauge fields
• Mesoscopic scattering dynamics under generic uniform SU(2) gauge fields: Spin-momentum relaxation and coherent backscattering