Saved in:
| Main Authors: | , , , , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.04940 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908521094709248 |
|---|---|
| author | Zhang, Sen Huang, Yangyu Yu, Lei He, Kaixuan Zhou, Ning Xiao, Dingbang Wu, Xuezhong Nori, Franco Jing, Hui Zhou, Xin |
| author_facet | Zhang, Sen Huang, Yangyu Yu, Lei He, Kaixuan Zhou, Ning Xiao, Dingbang Wu, Xuezhong Nori, Franco Jing, Hui Zhou, Xin |
| contents | The intricate complex eigenvalues of non-Hermitian Hamiltonians manifest as Riemann surfaces in control parameter spaces. At the exceptional points (EPs), the degeneracy of both eigenvalues and eigenvectors introduces noteworthy topological features, particularly during the encirclement of the EPs. Traditional methods for probing the state information on the Riemann surfaces involve static measurements; however, realizing continuous encircling remains a formidable challenge due to non-adiabatic transitions that disrupt the transport paths. Here we propose an approach leveraging the phase-locked loop (PLL) technique to facilitate smooth, dynamic encircling of EPs while maintaining resonance. Our methodology strategically ties the excitation frequencies of steady states to their response phases, enabling controlled traversal along the Riemann surfaces of real eigenvalues. This study advances the concept of phase-tracked dynamical encircling and explores its practical implementation within a fully electrically controlled non-Hermitian microelectromechanical system, highlighting robust in-situ tunability and providing methods for exploring non-Hermitian topologies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04940 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamically encircling an exceptional point through phase-tracked closed-loop control Zhang, Sen Huang, Yangyu Yu, Lei He, Kaixuan Zhou, Ning Xiao, Dingbang Wu, Xuezhong Nori, Franco Jing, Hui Zhou, Xin Quantum Physics Classical Physics The intricate complex eigenvalues of non-Hermitian Hamiltonians manifest as Riemann surfaces in control parameter spaces. At the exceptional points (EPs), the degeneracy of both eigenvalues and eigenvectors introduces noteworthy topological features, particularly during the encirclement of the EPs. Traditional methods for probing the state information on the Riemann surfaces involve static measurements; however, realizing continuous encircling remains a formidable challenge due to non-adiabatic transitions that disrupt the transport paths. Here we propose an approach leveraging the phase-locked loop (PLL) technique to facilitate smooth, dynamic encircling of EPs while maintaining resonance. Our methodology strategically ties the excitation frequencies of steady states to their response phases, enabling controlled traversal along the Riemann surfaces of real eigenvalues. This study advances the concept of phase-tracked dynamical encircling and explores its practical implementation within a fully electrically controlled non-Hermitian microelectromechanical system, highlighting robust in-situ tunability and providing methods for exploring non-Hermitian topologies. |
| title | Dynamically encircling an exceptional point through phase-tracked closed-loop control |
| topic | Quantum Physics Classical Physics |
| url | https://arxiv.org/abs/2509.04940 |