| Project/Area Number |
18K03466
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Review Section |
Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
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| Research Institution | Osaka Metropolitan University (2022-2023)
Osaka Prefecture University (2018-2021) |
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Principal Investigator |
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| Project Period (FY) |
2018-04-01 – 2024-03-31
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| Project Status |
Completed (Fiscal Year 2023)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2020: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2019: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2018: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | optical vortex / non-Markovian dynamics / bound state in continuum / continuum threshold / exceptional point / radiation damping / waveguide / non-Markovian decay / dynamical control / cyclotron / PT-symmetry / exceptional manifold / orbital angular momentum / cyclotron motion / cut-off frequency |
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| Outline of Final Research Achievements |
I have published four works that explore various protocols and ideas for quantum dynamical control in a model-independent context. And I have published one work on the classical radiation damping problem of a charged particle undergoing cyclotron motion inside a rectangular waveguide. The final work on the production of the optical vortex in a cylindrical waveguide will be published soon.
Among the four model-independent works, one establishes the dynamics occurring when an emitting system is tuned to the continuum threshold (or cut-off mode in a waveguide) in an effective 1-D system. I showed the presence of an anomalous-order exceptional point that drives the dynamics, resulting in a power-law decay with fractional exponent. This was written in terms of a quantum system but it would apply for the particle undergoing cyclotron motion as well when the frequency is tuned to the cut-off mode in the waveguide.
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| Academic Significance and Societal Importance of the Research Achievements |
The optical vortex has many uses or proposed uses, from optical tweezers to quantum information processing. However a limitation has been that it is difficult to produce outside the optical regime. Our results should provide a step forward to remedying this limitation.
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