Topological holographic quench dynamics in a synthetic frequency dimension

Danying Yu; Bo Peng; Xianfeng Chen; Xiong-Jun Liu; Luqi Yuan

doi:10.1038/s41377-021-00646-y

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Topological holographic quench dynamics in a synthetic frequency dimension

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- Topological holographic quench dynamics in a synthetic frequency dimension
- Topological holographic quench dynamics in a synthetic frequency dimension
- LSA 2021年10卷第11期页码：2184-2194
- Affiliations：
  
  1.State Key Laboratory of Advanced Optical Communication Systems and Networks, School of Physics and Astronomy, Shanghai Jiao Tong University, 200240, Shanghai, China
  2.Shanghai Research Center for Quantum Sciences, 201315, Shanghai, China
  3.Jinan Institute of Quantum Technology, 250101, Jinan, China
  4.Collaborative Innovation Center of Light Manipulations and Applications, Shandong Normal University, 250358, Jinan, China
  5.International Center for Quantum Materials and School of Physics, Peking University, 100871, Beijing, China
  6.Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, 518055, Shenzhen, China
- Author bio：
  
  Xiong-Jun Liu (xiongjunliu@pku.edu.cn)
  Luqi Yuan (yuanluqi@sjtu.edu.cn)
- Funds：
- DOI：10.1038/s41377-021-00646-y
  中图分类号：
- 纸质出版日期：2021-11-30，
  
  网络出版日期：2021-10-07，
  
  收稿日期：2021-02-07，
  
  修回日期：2021-09-10，
  
  录用日期：2021-09-14
- Accepted：
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Topological holographic quench dynamics in a synthetic frequency dimension[J]. LSA, 2021,10(11):2184-2194.

Yu, D. Y. et al. Topological holographic quench dynamics in a synthetic frequency dimension. Light: Science & Applications, 10, 2184-2194 (2021).
Topological holographic quench dynamics in a synthetic frequency dimension[J]. LSA, 2021,10(11):2184-2194. DOI： 10.1038/s41377-021-00646-y.

Yu, D. Y. et al. Topological holographic quench dynamics in a synthetic frequency dimension. Light: Science & Applications, 10, 2184-2194 (2021). DOI： 10.1038/s41377-021-00646-y.

摘要

Abstract

The notion of topological phases extended to dynamical systems stimulates extensive studies

of which the characterization of nonequilibrium topological invariants is a central issue and usually necessitates the information of quantum dynamics in both the time and momentum dimensions. Here

we propose the topological holographic quench dynamics in synthetic dimension

and also show it provides a highly efficient scheme to characterize photonic topological phases. A pseudospin model is constructed with ring resonators in a synthetic lattice formed by frequencies of light

and the quench dynamics is induced by initializing a trivial state

which evolves under a topological Hamiltonian. Our key prediction is that the complete topological information of the Hamiltonian is encoded in quench dynamics solely in the time dimension

and is further mapped to lower-dimensional space

manifesting

the holographic features of the dynamics. In particular

two fundamental time scales emerge in the dynamical evolution

with one mimicking the topological band on the momentum dimension and the other characterizing the

residue

time evolution of the state after the quench. For this

a universal duality between the quench dynamics and the equilibrium topological phase of the spin model is obtained in the time dimension by extracting information from the field evolution dynamics in modulated ring systems in simulations. This work also shows that the photonic synthetic frequency dimension provides an efficient and powerful way to explore the topological nonequilibrium dynamics.

关键词

Keywords

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