2022 Fiscal Year Research-status Report
Expanded bandwidth for production of the optical vortex by cyclotron radiation
| Project/Area Number |
18K03466
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| Research Institution | Osaka Metropolitan University |
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Principal Investigator |
ガーモン サバンナスターリング 大阪公立大学, 大学院理学研究科, 准教授 (30733860)
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| Project Period (FY) |
2018-04-01 – 2024-03-31
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| Keywords | continuum threshold / non-Markovian decay / optical vortex / exceptional point / cyclotron / PT-symmetry |
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| Outline of Annual Research Achievements |
In the previous year, I published several articles on the Markovian and non-Markovian dynamics in open quantum systems [1-3], including one work [1] particularly focused on the dynamics when the characteristic frequency of a quantum emitter inside a waveguide matches with the cutoff frequency inside of that waveguide, which is a universal result. A key factor influencing the dynamics in this case is an exceptional point (EP) appearing directly at the cutoff. In the last year, significant progress has been made in extending that problem to the specific case of an electron undergoing cyclotronic motion inside of a cylindrical waveguide. (Note that the cyclotron problem is technically a classical problem; however, the problem is still largely analogous to the quantum problem.) Working in part with my collaborator from the US, a Hamiltonian has been derived representing the dynamical evolution of the system and now we are in the middle of working out the detailed dynamics for the production of the optical vortex. I have shown some simple approximations for the decay width and modified frequency of the coupled modes under various circumstances, which should aid in the larger calculation of the dynamics.
[1] Phys. Rev. Research 3, 033029 (2021).
[2] Phys. Rev. A 104, 062215 (2021).
[3] J. Phys.: Conf. Ser. 2038, 012011 (2021).
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| Current Status of Research Progress |
Current Status of Research Progress
3: Progress in research has been slightly delayed.
Reason
Because many projects came up related to the broad issue of the dynamics of open quantum systems and non-Markovian effects, the specific project of the optical vortex has been somewhat delayed. But in this year we are now making progress on this specific issue and we should have a publication on the topic within a year or so.
A second project related to the dynamics at a topologically-protected EP coinciding with an anti-localized zero-energy mode is also in progress.
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| Strategy for Future Research Activity |
In the next stage, I will focus more narrowly on the specific project of the time evolution in the problem of the cyclotronic particle in the cylindrical waveguide and the production of the optical vortex. I will continue working with my collaborator from the US and other collaborators on this topic. This should include the case where the cyclotron frequency is well embedded in the continuum modes of the waveguide, in which case we expect the production of the optical vortex.
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