Journal
NATURE PHOTONICS
Volume 13, Issue 10, Pages 692-+Publisher
NATURE PUBLISHING GROUP
DOI: 10.1038/s41566-019-0452-0
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Funding
- AFOSR-MURI [FA9550-14-1-0267]
- Sloan Foundation
- Physics Frontier Center at the Joint Quantum Institute
- Russian Foundation for Basic Research [18-29-20037]
- Foundation for the Advancement of Theoretical Physics and Mathematics BASIS
- Australian Research Council
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The topological phases of matter are characterized using the Berry phase, a geometrical phase associated with the energy-momentum band structure. The quantization of the Berry phase and the associated wavefunction polarization manifest as remarkably robust physical observables, such as quantized Hall conductivity and disorder-insensitive photonic transport(1-5). Recently, a novel class of topological phases, called higher-order topological phases, were proposed by generalizing the fundamental relationship between the Berry phase and quantized polarization, from dipole to multipole moments(6-8). Here, we demonstrate photonic realization of the quantized quadrupole topological phase, using silicon photonics. In our two-dimensional second-order topological phase, we show that the quantization of the bulk quadrupole moment manifests as topologically robust zero-dimensional corner states. We contrast these topological states against topologically trivial corner states in a system without bulk quadrupole moment, where we observe no robustness. Our photonic platform could enable the development of robust on-chip classical and quantum optical devices with higher-order topological protection.
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