Spectroscopy and topological properties of a Haldane light system
arXiv:2307.14960 · doi:10.1103/PhysRevA.109.L021701
Abstract
We introduce a local spectroscopic method in real space to probe the topological properties of a circuit quantum electrodynamics (cQED) array generalizing previous approaches from one to two dimensions in the plane. As an application, we develop the theory of microwave light propagating in the local probe capacitively coupled to the cQED array associated to a bosonic Haldane model. Interestingly, we show that the measured reflection coefficient, resolved in frequency through the resonance, reveals the geometrical properties of the model and the topological phase transition. We discuss the role of physical parameters such as the lifetime of the light modes and stability towards local disorder related to further realizations.
12 pages, 1 figure
References in corpus (16)
- Topological Photonics
- Photovoltaic Hall effect in graphene
- Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
- Microwave photonics with superconducting quantum circuits
- Analogs of quantum Hall effect edge states in photonic crystals
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Selective enhancement of topologically induced interface states in a dielectric resonator chain
- Colloquium: Quantum anomalous Hall effect
- Time-reversal symmetry breaking in circuit-QED based photon lattices
- An Aharonov-Bohm interferometer for determining Bloch band topology
- Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
- Quarter-Flux Hofstadter Lattice in Qubit-Compatible Microwave Cavity Array
- Topological Zak Phase in Strongly-Coupled LC Circuits
- Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
- Global and Local Topological Quantized Responses from Geometry, Light and Time