Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons  

作　　者：LUQI YUAN AVIK DUTT MINGPU QIN SHANHUI FAN AND XIANFENG CHEN 

机构地区：[1]State Key Laboratory of Advanced Optical Communication Systems and Networks,School of Physics and Astronomy,Shanghai Jiao Tong University,Shanghai 200240,China [2]Department of Electrical Engineering,and Ginzton Laboratory,Stanford University,Stanford,California 94305,USA [3]School of Physics and Astronomy,Shanghai Jiao Tong University,Shanghai 200240,China [4]Collaborative Innovation Center of Light Manipulations and Applications,Shandong Normal University,Jinan 250358,China

出　　处：《Photonics Research》2020年第9期I0022-I0028,共7页光子学研究（英文版）

基　　金：National Natural Science Foundation of China(11974245);National Key Research and Development Program of China(2017YFA0303701,2018YFA0306301);Natural Science Foundation of Shanghai(19ZR1475700);Air Force Office of Scientific Research(FA9550-18-1-0379);Vannevar Bush Faculty Fellowship from the U.S.Department of Defense(N00014-17-1-3030);National Science Foundation(CBET-1641069)。

摘　　要：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 incorporatingχ3nonlinearity,provided that the group velocity dispersion of the waveguide forming the ring is specifically designed.As a demonstration we numerically implement a Bose–Hubbard model and explore photon blockade effect in the synthetic frequency space.Our work opens new possibilities for studying fundamental many-body physics in the synthetic space in photonics,with potential applications in optical quantum communication and quantum computation.

关 键 词：DIMENSION HAMILTONIAN LOCALLY 

分 类 号：O572.31[理学—粒子物理与原子核物理]