Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons
The recent emerging field of synthetic dimension in photonics offers a variety of opportunities for manipulating different internal degrees of freedom of photons such as the spectrum of light. While nonlinear optical effects can be incorporated into these photonic systems with synthetic dimensions, these nonlinear effects typically result in long-range interactions along the frequency axis. Thus, it has been difficult to use the synthetic dimension concept to study a large class of Hamiltonians that involves local interactions. Here we show that a Hamiltonian that is locally interacting along the synthetic dimension can be achieved in a dynamically modulated ring resonator incorporating
基金项目：National Natural Science Foundation of China
Avik Dutt：Department of Electrical Engineering, and Ginzton Laboratory, Stanford University, Stanford, California 94305, USA
Mingpu Qin：School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
Shanhui Fan：Department of Electrical Engineering, and Ginzton Laboratory, Stanford University, Stanford, California 94305, USA；e-mail: firstname.lastname@example.org
Xianfeng Chen：State Key Laboratory of Advanced Optical Communication Systems and Networks, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China；Collaborative Innovation Center of Light Manipulations and Applications, Shandong Normal University, Jinan 250358, China；e-mail: email@example.com
备注：National Natural Science Foundation of China
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Luqi Yuan, Avik Dutt, Mingpu Qin, Shanhui Fan, and Xianfeng Chen, "Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons," Photonics Research 8(9), B8 (2020)