Higher-order exceptional lines in a non-Hermitian JaynesCummings triangle

• URL: http://arxiv.org/abs/2505.07319v1
• Date: Mon, 12 May 2025 08:05:20 GMT
• Title: Higher-order exceptional lines in a non-Hermitian JaynesCummings triangle
• Authors: Hao Chen, Xiao Qin, Jian-Jun Dong, Yu-Yu Zhang, Zi-Xiang Hu,
• Abstract summary: Higher-order exceptional points (EPs) in non-Hermitian systems showcase diverse physical phenomena but require more parameter space freedom or symmetries.<n>Here we observe both a third-order exceptional surface and line in a Jaynes-Cummings triangle consisting of three cavities arranged in a ring.<n>A fine-tuning artificial magnetic field dramatically enriches the emergence of the third-order exceptional lines.
• Score: 9.253586521402518
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Higher-order exceptional points (EPs) in non-Hermitian systems showcase diverse physical phenomena but require more parameter space freedom or symmetries. It leads to a challenge for the exploration of high-order EP geometries in low-dimensional systems. Here we observe both a third-order exceptional surface and line in a Jaynes-Cummings triangle consisting of three cavities arranged in a ring. A fine-tuning artificial magnetic field dramatically enriches the emergence of the third-order exceptional lines ($3$ELs), which require only three tuning parameters in the presence of chiral symmetry and parity-time (PT) symmetry. Third-order EPs amplify the effect of perturbations through a cube-root response mechanism, displaying a greater sensitivity than second-order EPs. We develop novel fidelity and Loschmidt echo using the associated-state biorthogonal approach, which successfully characterizes EPs and quench dynamics even in PT breaking regime. Our work advances the use of higher-order EPs in quantum technology applications.

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