Mean-chiral displacement in coherently driven photonic lattices and its application to synthetic frequency dimensions
arXiv:2309.16101 · doi:10.1038/s42005-024-01727-1
Abstract
Characterizing topologically nontrivial photonic lattices by measuring their topological invariants is crucial in topological photonics. In conservative one-dimensional systems, a widely used observable to extract the winding number is the mean-chiral displacement. In many realistic photonic systems, however, losses can hardly be avoided, and little is known on how one can extend the mean-chiral displacement to a driven-dissipative context. Here we theoretically propose an experimentally viable method to directly detect the topological winding number of one-dimensional chiral photonic lattices. The method we propose is a generalization of the mean-chiral displacement to a driven-dissipative context with coherent illumination. By integrating the mean-chiral displacement of the steady state over the pump light frequency, one can obtain the winding number with a correction of the order of the loss rate squared. We demonstrate that this method can be successfully applied to lattices along synthetic frequency dimensions.
arXiv comment10 pages, 5 figures
References in corpus (31)
- Topological Photonics
- Topological Photonics
- Classification of topological quantum matter with symmetries
- Exceptional Topology of Non-Hermitian Systems
- Synthetic Dimension in Photonics
- Topological quantum matter in synthetic dimensions
- Photonic Topological Insulator in Synthetic Dimensions
- Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physics
- Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
- Observation of arbitrary topological windings of a non-Hermitian band
- A single photonic cavity with two independent physical synthetic dimensions
- Active topological photonics
- Photonic gauge potential in a system with a synthetic frequency dimension
- Direct measurement of the quantum geometric tensor in a two-dimensional continuous medium
- Experimental Measurement of the Berry Curvature from Anomalous Transport
- Quantized Nonlinear Thouless Pumping
- Experimental band structure spectroscopy along a synthetic dimension
- Topological characterization of chiral models through their long time dynamics
- Higher-order topological insulators in synthetic dimensions
- Anomalous and Quantum Hall Effects in Lossy Photonic Lattices
- Chiral-Symmetric Higher-Order Topological Phases of Matter
- Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices
- Tutorial: synthetic frequency dimensions in dynamically modulated ring resonators
- Creating boundaries along a synthetic frequency dimension
- Probing one-dimensional topological phases in waveguide lattices with broken chiral symmetry
- Synthetic dimension band structures on a Si CMOS photonic platform
- Programmable large-scale simulation of bosonic transport in optical synthetic frequency lattices
- Measuring topological invariants in polaritonic graphene
- Bulk detection of time-dependent topological transitions in quenched chiral models
- Seeing bulk topological properties of band insulators in small photonic lattices
- Detecting Bulk Topology of Quadrupolar Phase from Quench Dynamics