研究目的
To propose a nanophotonic platform for exploring many-body physics in topological quantum optics using a two-dimensional lattice of nonlinear quantum emitters embedded in a photonic crystal slab.
研究成果
The proposed platform of two-dimensional quantum emitter arrays embedded in photonic crystals exhibits topological quantum optical properties with robust edge states and a flatband with a nontrivial Chern number. This system is experimentally accessible and suitable for exploring novel topological states of light and matter, including fractional Chern insulators.
研究不足
The practical realization of the proposed systems constitutes a nontrivial challenge, though most key ingredients have been demonstrated. The gap size is limited by the Markov approximation validity, requiring the emitter-field correlation time to be much shorter than the typical timescale of emitter system evolution.
1：Experimental Design and Method Selection:
The study involves the design of a two-dimensional lattice of nonlinear quantum emitters embedded in a photonic crystal slab, utilizing the guided modes of the photonic crystal for emitter interaction. A uniform magnetic field is applied to induce topological band gaps and edge states.
2：Sample Selection and Data Sources:
The system is modeled with a triangular lattice of quantum emitters (e.g., SiV centers in diamond) integrated with a photonic crystal slab made of gallium phosphate (GaP) with air holes.
3：List of Experimental Equipment and Materials:
The setup includes a photonic crystal slab, quantum emitters (SiV centers), and a uniform out-of-plane magnetic field.
4：Experimental Procedures and Operational Workflow:
The dynamics are captured by a non-Hermitian Hamiltonian considering a single excitation in the system. The time evolution of edge states is studied in real space, including scenarios with lattice imperfections and inhomogeneous broadening.
5：Data Analysis Methods:
The eigenmodes of the system are analyzed to identify topological band gaps, edge states, and the flatness of the middle band with a nonzero Chern number.
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