Simulation and Detection of Photonic Chern Insulators in One-Dimensional Circuit Quantum Electrodynamics Lattice
arXiv:1504.05686 · doi:10.1103/PhysRevA.92.041805
Abstract
We introduce a simple method to realize and detect photonic topological Chern insulators with one-dimensional circiut quantum electrodynamics arrays. By periodically modulating the couplings of the array, we show that this one-dimensional model can be mapped into a two-dimensional Chern insulator model. In addition to allowing the study of photonic Chern insulators, this approach also provides a natural platform to realise experimentally Laughlin's pumping argument. Based on scattering theory of topological insulators and input-output formalism, we show that the photonic edge state can be probed directly and the topological invariant can be detected from the winding number of the reflection coefficient phase.
5 pages, 3 figures
References in corpus (16)
- Topological Photonics
- Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
- Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
- Analogs of quantum Hall effect edge states in photonic crystals
- Quantum Many-Body Phenomena in Coupled Cavity Arrays
- Time-reversal symmetry breaking in circuit-QED based photon lattices
- Topological properties of linear circuit lattices
- Digital quantum simulation of fermionic models with a superconducting circuit
- Digital quantum simulation of spin models with circuit quantum electrodynamics
- Quantum simulation of 2d topological physics using orbital-angular-momentum-carrying photons in a 1d array of cavities
- Two-resonator circuit QED: A superconducting quantum switch
- Tunable coupling engineering between superconducting resonators: from sidebands to effective gauge fields
- Many-body phenomena in QED-cavity arrays
- Anomalous Hall Effects of Light and Chiral Edge Modes on the Kagome Lattice
- Tunable and Switchable Coupling Between Two Superconducting Resonators
- Phase spectroscopy of topological invariants in photonic crystals
Cited by in corpus (19)
- Topological Photonics
- Topological Photonics
- Topological Phase Transitions and Thouless Pumping of Light in Photonic Waveguide Arrays
- Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
- Topologically Protected Quantum Coherence in a Superatom
- Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice
- Nonreciprocal Signal Routing in an Active Quantum Network
- Controllable double quantum state transfers by one topological channel in a frequency-modulated optomechanical array
- Detecting Topological Phases of Microwave Photons in a Circuit Quantum Electrodynamics Lattice
- Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains
- Topological phase induced by distinguishing parameter regimes in cavity optomechanical system with multiple mechanical resonators
- Generalized Su-Schrieffer-Heeger model in one dimensional optomechanical arrays
- Dissipation-induced topological phase transition and periodic-driving-induced photonic topological state transfer in a small optomechanical lattice
- Vortex-Meissner phase transition induced by two-tone-drive-engineered artificial gauge potential in the fermionic ladder constructed by superconducting qubit circuits
- Topological Frenkel Exciton-Polaritons in One-Dimensional Lattices of Strongly Coupled Cavities
- Two-dimensional topological effect in a transmon qubit array with tunable couplings
- Topological and nontopological edge states induced by qubit-assisted coupling potentials
- Simulating topological phases and topological phase transitions with classical strings
- Characterizing Real-space Topology in Rice-Mele Model by Thermodynamics