Topological phase transition measured in a dissipative metamaterial

Abstract

We construct a metamaterial from radio-frequency harmonic oscillators, and find two topologically distinct phases resulting from dissipation engineered into the system. These phases are distinguished by a quantized value of bulk energy transport. The impulse response of our circuit is measured and used to reconstruct the band structure and winding number of circuit eigenfunctions around a dark mode. Our results demonstrate that dissipation can lead to topological transport in a much wider class of physical systems than considered before.

arXiv commentMain text: 5 pages, 3 figures. Supplement: 6 pages, 4 figures

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• Topologically Enhanced Harmonic Generation in a Nonlinear Transmission Line Metamaterial
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• Topological semimetal phase with exceptional points in one-dimensional non-Hermitian systems
• Electric-circuit simulation of the Schrödinger equation and non-Hermitian quantum walks
• Properties of the non-Hermitian SSH model: role of PT-symmetry
• Generalized Berry phase for a bosonic Bogoliubov system with exceptional points
• Electric circuits for universal quantum gates and quantum Fourier transformation
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• Direct measurement of topological invariants through temporal adiabatic evolution of bulk states in the synthetic Brillouin zone
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Application of topological edge states in magnetic resonance imaging
• Universal quantum gates, artificial neurons and pattern recognition simulated by \textit{LC} resonators
• Bulk-Edge Correspondence for Point-Gap Topological Phases in Junction Systems
• Hilbert space fragmentation imposed real spectrum of non-Hermitian systems
• Non-Hermitian physics of levitated nanoparticle array
• Topological Frenkel Exciton-Polaritons in One-Dimensional Lattices of Strongly Coupled Cavities
• Spectroscopy and topological properties of a Haldane light system