Programmable simulation of high-order exceptional point with a trapped ion

• URL: http://arxiv.org/abs/2412.09776v1
• Date: Fri, 13 Dec 2024 01:00:22 GMT
• Title: Programmable simulation of high-order exceptional point with a trapped ion
• Authors: Yue Li, Yang Wu, Yuqi Zhou, Mengxiang Zhang, Xingyu Zhao, Yibo Yuan, Xu Cheng, Yi Li, Xi Qin, Xing Rong, Yiheng Lin, Jiangfeng Du,
• Abstract summary: We experimentally demonstrate a native programmable control to simulate a high-order non-Hermitian Hamiltonian in a multi-dimensional trapped ion system. Our results pave the way for scalable quantum simulation of high-dimensional dissipative systems.
• Score: 20.656857180988926
• License:
• Abstract: The nontrivial degeneracies in non-Hermitian systems, exceptional points (EPs), have attracted extensive attention due to intriguing phenomena. Compared with commonly observed second-order EPs, high-order EPs show rich physics due to their extended dimension and parameter space, ranging from the coalescence of EPs into higher order to potential applications in topological properties. However, these features also pose challenges in controlling multiple coherent and dissipative elements in a scaled system. Here we experimentally demonstrate a native programmable control to simulate a high-order non-Hermitian Hamiltonian in a multi-dimensional trapped ion system. We simulate a series of non-Hermitian systems with varied parameters and observe the coalescence of second-order EPs into a fourth-order EP. Our results pave the way for scalable quantum simulation of high-dimensional dissipative systems and can be beneficial for the application of high-order EPs in quantum sensing and quantum control.

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