Detecting Topological Phases of Microwave Photons in a Circuit Quantum Electrodynamics Lattice
arXiv:1506.01279 · doi:10.1038/npjqi.2016.15
Abstract
Topology is an important degree of freedom in characterizing electronic systems. Recently, it also brings new theoretical frontiers and many potential applications in photonics. However, the verification of the topological nature is highly nontrivial in photonic systems as there is no direct analog of quantized Hall conductance for bosonic photons. Here we propose a scheme of investigating topological photonics in superconducting quantum circuits by a simple parametric coupling method, the flexibility of which can lead to the effective \textit{in situ} tunable artificial gauge field for photons on a square lattice. We further study the detection of the topological phases of the photons. Our idea employs the exotic properties of the edge state modes which result in novel steady states of the lattice under the driving-dissipation competition. Through the pumping and the photon-number measurements of merely few sites, not only the spatial and the spectral characters, but also the momentums and even the integer topological quantum numbers with arbitrary values of the edge state modes can be directly probed, which reveal unambiguously the topological nature of photons on the lattice.
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Cited by in corpus (16)
- Topological Photonics
- Artificial gauge fields in materials and engineered systems
- Pseudo-time-reversal symmetry and topological edge states in two-dimensional acoustic crystals
- Observation of topological magnon insulator states in a superconducting circuit
- Nonadiabatic holonomic quantum computation with dressed-state qubits
- Implementing universal nonadiabatic holonomic quantum gates with transmons
- Nonadiabatic holonomic quantum computation with all-resonant control
- Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice
- Circuit Quantum Electrodynamics Simulator of Flat Band Physics in Lieb lattice
- Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains
- Synthetic gauge field and chiral physics on two-leg superconducting circuits
- Non-Abelian Aharonov-Bohm Caging in Photonic Lattices
- Topological photonics on superconducting quantum circuits with parametric couplings
- Faithful Simulation and Detection of Quantum Spin Hall Effect on Superconducting Circuits
- External control of qubit-photon interaction and multi-qubit reset in a dissipative quantum network
- Constructing qubit edge states by inverse-designing the electromagnetic environment