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  • Received: Jul. 30, 2020

    Accepted: Nov. 15, 2020

    Posted: Nov. 18, 2020

    Published Online: Dec. 25, 2020

    The Author Email: Feng Mei (meifeng@sxu.edu.cn), Nanyang Xu (nyxu@hfut.edu.cn), Heng Shen (hengshen@nbi.dk)

    DOI: 10.1364/PRJ.404163

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    Bing Chen, Shuo Li, Xianfei Hou, Feifei Ge, Feifei Zhou, Peng Qian, Feng Mei, Suotang Jia, Nanyang Xu, Heng Shen. Digital quantum simulation of Floquet topological phases with a solid-state quantum simulator[J]. Photonics Research, 2021, 9(1): 01000081

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Photonics Research, Vol. 9, Issue 1, 01000081 (2021)

Digital quantum simulation of Floquet topological phases with a solid-state quantum simulator

Bing Chen1,2, Shuo Li3, Xianfei Hou1, Feifei Ge1, Feifei Zhou1, Peng Qian1, Feng Mei4,5,7,*, Suotang Jia4,5, Nanyang Xu1,8,*, and Heng Shen2,6,9,*

Author Affiliations

  • 1School of Electronic Science and Applied Physics, Hefei University of Technology, Hefei 230009, China
  • 2State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, China
  • 3Stanford Institute for Materials and Energy Sciences, Menlo Park, California 94025, USA
  • 4State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan 030006, China
  • 5Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China
  • 6Clarendon Laboratory, University of Oxford, Oxford OX1 3PU, UK
  • 7e-mail: meifeng@sxu.edu.cn
  • 8e-mail: nyxu@hfut.edu.cn
  • 9e-mail: hengshen@nbi.dk

Abstract

Harnessing the dynamics of complex quantum systems is an area of much interest and a quantum simulator has emerged as a promising platform to probe exotic topological phases. Since the flexibility offered by various controllable quantum systems has helped gain insight into the quantum simulation of such complicated problems, an analog quantum simulator has recently shown its feasibility to tackle the problems of exploring topological phases. However, digital quantum simulation and the detection of topological phases still remain elusive. Here, we develop and experimentally realize the digital quantum simulation of topological phases with a solid-state quantum simulator at room temperature. Distinct from previous works dealing with static topological phases, the topological phases emulated here are Floquet topological phases. Furthermore, we also illustrate the procedure of digitally simulating a quantum quench and observing the nonequilibrium dynamics of Floquet topological phases. Using a quantum quench, the 0- and π-energy topological invariants are unambiguously detected through measuring time-averaged spin polarizations. We believe our experiment opens up a new avenue to digitally simulate and detect Floquet topological phases with fast-developed programmable quantum simulators.

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