中国物理B ›› 2024, Vol. 33 ›› Issue (1): 10303-10303.doi: 10.1088/1674-1056/ad0cd1

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Observation of flat-band localized state in a one-dimensional diamond momentum lattice of ultracold atoms

Chao Zeng(曾超)1,2,3, Yue-Ran Shi(石悦然)4,5, Yi-Yi Mao(毛一屹)1,2,3, Fei-Fei Wu(武菲菲)1,2,3, Yan-Jun Xie(谢岩骏)1,2,3, Tao Yuan(苑涛)1,2,3, Han-Ning Dai(戴汉宁)1,2,3,†, and Yu-Ao Chen(陈宇翱)1,2,3   

  1. 1 Hefei National Research Center for Physical Sciences at the Microscale and School of Physical Sciences, University of Science and Technology of China, Hefei 230026, China;
    2 Shanghai Research Center for Quantum Sciences and CAS Center for Excellence Quantum Information and Quantum Physics, University of Science and Technology of China, Shanghai 201315, China;
    3 Hefei National Laboratory, University of Science and Technology of China, Hefei 230088, China;
    4 Department of Physics, Renmin University of China, Beijing 100872, China;
    5 Key Laboratory of Quantum State Constructuion and Manipulation(Ministry of Education), Renmin University of China, Beijing 100872, China
  • 收稿日期:2023-11-06 修回日期:2023-11-13 接受日期:2023-11-16 出版日期:2023-12-13 发布日期:2023-12-13
  • 通讯作者: Han-Ning Dai E-mail:daihan@ustc.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 12074367), Anhui Initiative in Quantum Information Technologies, the National Key Research and Development Program of China (Grant No. 2020YFA0309804), Shanghai Municipal Science and Technology Major Project (Grant No. 2019SHZDZX01), the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB35020200), Innovation Program for Quantum Science and Technology (Grant No. 2021ZD0302002), and New Cornerstone Science Foundation.

Observation of flat-band localized state in a one-dimensional diamond momentum lattice of ultracold atoms

Chao Zeng(曾超)1,2,3, Yue-Ran Shi(石悦然)4,5, Yi-Yi Mao(毛一屹)1,2,3, Fei-Fei Wu(武菲菲)1,2,3, Yan-Jun Xie(谢岩骏)1,2,3, Tao Yuan(苑涛)1,2,3, Han-Ning Dai(戴汉宁)1,2,3,†, and Yu-Ao Chen(陈宇翱)1,2,3   

  1. 1 Hefei National Research Center for Physical Sciences at the Microscale and School of Physical Sciences, University of Science and Technology of China, Hefei 230026, China;
    2 Shanghai Research Center for Quantum Sciences and CAS Center for Excellence Quantum Information and Quantum Physics, University of Science and Technology of China, Shanghai 201315, China;
    3 Hefei National Laboratory, University of Science and Technology of China, Hefei 230088, China;
    4 Department of Physics, Renmin University of China, Beijing 100872, China;
    5 Key Laboratory of Quantum State Constructuion and Manipulation(Ministry of Education), Renmin University of China, Beijing 100872, China
  • Received:2023-11-06 Revised:2023-11-13 Accepted:2023-11-16 Online:2023-12-13 Published:2023-12-13
  • Contact: Han-Ning Dai E-mail:daihan@ustc.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 12074367), Anhui Initiative in Quantum Information Technologies, the National Key Research and Development Program of China (Grant No. 2020YFA0309804), Shanghai Municipal Science and Technology Major Project (Grant No. 2019SHZDZX01), the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB35020200), Innovation Program for Quantum Science and Technology (Grant No. 2021ZD0302002), and New Cornerstone Science Foundation.

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摘要： We investigated the one-dimensional diamond ladder in the momentum lattice platform. By inducing multiple two- and four-photon Bragg scatterings among specific momentum states, we achieved a flat band system based on the diamond model, precisely controlling the coupling strength and phase between individual lattice sites. Utilizing two lattice sites couplings, we generated a compact localized state associated with the flat band, which remained localized throughout the entire time evolution. We successfully realized the continuous shift of flat bands by adjusting the corresponding nearest neighbor hopping strength, enabling us to observe the complete localization process. This opens avenues for further exploration of more complex properties within flat-band systems, including investigating the robustness of flat-band localized states in disordered flat-band systems and exploring many-body localization in interacting flat-band systems.

关键词: diamond lattice, flat band, momentum lattice, localized state

Abstract: We investigated the one-dimensional diamond ladder in the momentum lattice platform. By inducing multiple two- and four-photon Bragg scatterings among specific momentum states, we achieved a flat band system based on the diamond model, precisely controlling the coupling strength and phase between individual lattice sites. Utilizing two lattice sites couplings, we generated a compact localized state associated with the flat band, which remained localized throughout the entire time evolution. We successfully realized the continuous shift of flat bands by adjusting the corresponding nearest neighbor hopping strength, enabling us to observe the complete localization process. This opens avenues for further exploration of more complex properties within flat-band systems, including investigating the robustness of flat-band localized states in disordered flat-band systems and exploring many-body localization in interacting flat-band systems.

Key words: diamond lattice, flat band, momentum lattice, localized state

中图分类号:  (Phases: geometric; dynamic or topological)

  • 03.65.Vf
03.67.Ac (Quantum algorithms, protocols, and simulations) 37.10.Jk (Atoms in optical lattices)