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2019 年度 実施状況報告書

Expanded bandwidth for production of the optical vortex by cyclotron radiation

研究課題

研究課題/領域番号 18K03466
研究機関大阪府立大学

研究代表者

ガーモン サバンナスターリング  大阪府立大学, 理学(系)研究科(研究院), 助教 (30733860)

研究期間 (年度) 2018-04-01 – 2021-03-31
キーワードcontinuum threshold / optical vortex / non-Markovian decay / bound state in continuum / exceptional point
研究実績の概要

I have made progress on two works related to this project. In the first, I have studied a situation in which non-Markovian dynamics associated with the continuum threshold (waveguide cut-off mode, for example) in quantum systems can be enhanced by using the properties of a so-called Bound State in Continuum (BIC). A bound state in continuum should be understood as an interference effect that occurs in quantum systems such that the exponential decay associated with the usual resonance is suppressed. In Ref. [1] I have shown that by preparing the system in an initial state that lies orthogonal to the BIC, one can avoid both the exponential decay associated with a resonance as well as the stability associated with the BIC itself to obtain non-Markovian decay on all timescales.

For the second project, I gave a virtual talk based on work demonstrating non-Markovian dynamics influenced by an anomalous exceptional point (EP) appearing at the threshold quite generally in 1-D systems, such as a quantum emitter traveling in an electromagnetic waveguide. An EP is a point in the parameter space of a given open quantum system at which two eigenstates coalesce. We showed this EP gives rise to an unusual non-Markovian dynamics in the form of a power law with a fractional exponent, which gives an opportunity for micro control.

[1] Phys. Rev. A 99, 010102R (2019)
[2] S. Garmon, American Physical Society March Meeting 2020, virtual presentation, https://virtualmarchmeeting.com/presentations/anomalous-exceptional-point-and-non-markovian-purcell-effect-at-threshold-in-1-d-continuum-systems

現在までの達成度 (区分)
現在までの達成度 (区分)

3: やや遅れている

理由

I have made good progress on two works on non-Markovian dynamics in general systems consisting of a quantum emitter coupled to a continuum, such as a charged particle undergoing cyclotron motion inside a waveguide. In the next stage I will publish the previously mentioned second work on the anomalous exceptional point appearing at threshold in 1-D systems and I will examine these and other effects more specifically in the context of the optical vortex production.

今後の研究の推進方策

While the previous two projects on non-Markovian decay apply quite generally in open quantum systems, in future work I will apply them more specifically to the problem of optical vortex production in a waveguide. I will also examine further specific cases that may provide opportunities for the micro-control of optical vortex production. And I will finish the paper on the second project.

次年度使用額が生じた理由

Because several conferences in Spring 2020 were unfortunately cancelled due to the Corona virus crisis, I was not able to use a significant portion of the funds as planned in the previous fiscal year. Hopefully the situation will improve in the 2020 fiscal year.

  • 研究成果

    (5件)

すべて 2020 2019 その他

すべて 国際共同研究 (2件) 学会発表 (3件) (うち国際学会 1件)

  • [国際共同研究] Butler University(米国)

    • 国名
      米国
    • 外国機関名
      Butler University
  • [国際共同研究] University of Toronto(カナダ)

    • 国名
      カナダ
    • 外国機関名
      University of Toronto
  • [学会発表] Anomalous exceptional point and non-Markovian Purcell effect at threshold in 1-D open quantum systems2020

    • 著者名/発表者名
      Savannah Garmon
    • 学会等名
      American Physical Society March Meeting 2020
    • 国際学会
  • [学会発表] Anomalous exceptional point and non-Markovian Purcell effect at threshold in 1-D continuum systems2020

    • 著者名/発表者名
      Savannah Garmon
    • 学会等名
      Japan Physical Society 2020 Annual Meeting
  • [学会発表] Non-Markovian dynamics revealed at the bound state in continuum2019

    • 著者名/発表者名
      Savannah Garmon
    • 学会等名
      Stat Phys 27 - International Conference on Statistical Physics

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公開日: 2021-01-27  

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