<p>The concept of topology in modern physics characterizes properties that remain invariant under continuous perturbations. In non-Hermitian systems—those containing gain or loss—topological features emerge through braids of complex eigenvalues. As parameters encircle exceptional points, the eigenvalues trace out distinct links and knots of arbitrary complexity. However, the controllable realization and direct visualization of such processes remain experimentally challenging, limiting their potential for light manipulation and device functionality. Here we demonstrate non-Hermitian braiding of laser modes on an integrated photonic chip. By actively controlling the parametric trajectories for gain and detuning, we directly observe photonic braiding through the evolution of laser frequencies and intensities. We present a rich variety of topological structures, including Hopf links, trefoil knots and Solomon links. Our chip-based platform offers scalable and programmable control over non-Hermitian dynamics. It enables robust light manipulation and reconfigurable lasing behaviour and can serve as a versatile test bed for exploring topological photonics. These results also open a pathway towards implementing synthetic topological structures on chip-scale photonic systems.</p>

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Laser mode braiding on a chip

  • Wenbo Mao,
  • Bofeng Zhu,
  • Qian Zhang,
  • Weijie Xu,
  • Di Jia,
  • Yuan Meng,
  • Chongwu Wang,
  • Fu Li,
  • Sang-Hoon Bae,
  • Qi Jie Wang,
  • Y. D. Chong,
  • Lan Yang

摘要

The concept of topology in modern physics characterizes properties that remain invariant under continuous perturbations. In non-Hermitian systems—those containing gain or loss—topological features emerge through braids of complex eigenvalues. As parameters encircle exceptional points, the eigenvalues trace out distinct links and knots of arbitrary complexity. However, the controllable realization and direct visualization of such processes remain experimentally challenging, limiting their potential for light manipulation and device functionality. Here we demonstrate non-Hermitian braiding of laser modes on an integrated photonic chip. By actively controlling the parametric trajectories for gain and detuning, we directly observe photonic braiding through the evolution of laser frequencies and intensities. We present a rich variety of topological structures, including Hopf links, trefoil knots and Solomon links. Our chip-based platform offers scalable and programmable control over non-Hermitian dynamics. It enables robust light manipulation and reconfigurable lasing behaviour and can serve as a versatile test bed for exploring topological photonics. These results also open a pathway towards implementing synthetic topological structures on chip-scale photonic systems.