2019 Fiscal Year Annual Research Report
Control of non-Hermitian toplogical systems by the Floquet engineering
| Project/Area Number |
19F19321
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| Research Institution | The University of Tokyo |
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Principal Investigator |
羽田野 直道 東京大学, 生産技術研究所, 教授 (70251402)
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| Co-Investigator(Kenkyū-buntansha) |
HARTER ANDREW 東京大学, 生産技術研究所, 外国人特別研究員
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| Project Period (FY) |
2019-11-08 – 2021-03-31
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| Keywords | 非エルミート量子力学 / PT対称性 / フロケー理論 |
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| Outline of Annual Research Achievements |
Non-Hermitian Hamiltonians which possess PT symmetry can be shown to admit an entirely real eigenspectrum within a certain range of their parameters. It has been shown that certain PT-symmetric lattices can admit topologically non-trivial phases; however, this phase only coincides with the PT-symmetry broken phase, and the topological edge states correspond to imaginary eigenvalues. We examine Floquet driving of this system which, for high enough driving frequencies, has been shown to stabilize the edge states. By using a simple two-step, pulsed time dependence, we explore the entire range of driving frequencies to highlight new regions of stability, including those which are explicitly below the high-frequency regime.
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| Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
ほぼ計画通りに進行し、現在、投稿論文を準備中です。
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| Strategy for Future Research Activity |
引き続き、研究計画通りに推進します。また、研究員が次のポストを探す時期でもあるので、セミナー活動も活発に行う計画です。
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