Finite barrier bound state

Tao Liu; Kai Bai; Yicheng Zhang; Duanduan Wan; Yun Lai; C. T. Chan; Meng Xiao

doi:10.1038/s41377-024-01417-1

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Finite barrier bound state

Original Articles

- Finite barrier bound state
- Light: Science & Applications Vol. 13, Issue 4, Pages: 664-671(2024)
- Affiliations：
  
  1.Key Laboratory of Artificial Micro- and Nano-structures of Ministry of Education and School of Physics and Technology, Wuhan University, 430072 Wuhan, China
  2.National Laboratory of Solid State Microstructures, School of Physics, and Collaborative Innovation Center of Advanced Microstructures, Nanjing University, 210093 Nanjing, China
  3.Department of Physics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, 999077, Hong Kong, China
  4.Wuhan Institute of Quantum Technology, 430206 Wuhan, China
- Author bio：
  
  Duanduan Wan (ddwan@whu.edu.cn)
  Meng Xiao (phmxiao@whu.edu.cn)
- Funds：
- DOI：10.1038/s41377-024-01417-1
  CLC：
- Received：29 September 2023，
  
  Revised：18 January 2024，
  
  Accepted：2024-02-26，
  
  Published Online：08 March 2024，
  
  Published：30 April 2024
- Accepted：
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Liu, T. et al. Finite barrier bound state. Light: Science & Applications, 13, 664-671 (2024).
DOI：

Liu, T. et al. Finite barrier bound state. Light: Science & Applications, 13, 664-671 (2024). DOI： 10.1038/s41377-024-01417-1.

摘要

Abstract

A boundary mode localized on one side of a finite-size lattice can tunnel to the opposite side which results in unwanted couplings. Conventional wisdom tells that the tunneling probability decays exponentially with the size of the system which thus requires many lattice sites before eventually becoming negligibly small. Here we show that the tunneling probability for some boundary modes can apparently vanish at specific wavevectors. Thus

similar to bound states in the continuum

a boundary mode can be completely trapped within very few lattice sites where the bulk bandgap is not even well-defined. More intriguingly

the number of trapped states equals the number of lattice sites along the normal direction of the boundary. We provide two configurations and validate the existence of this peculiar finite barrier-bound state experimentally in a dielectric photonic crystal at microwave frequencies. Our work offers extreme flexibility in tuning the coupling between localized states and channels as well as a new mechanism that facilitates unprecedented manipulation of light.

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references

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