• 研究課題をさがす
  • 研究者をさがす
  • KAKENの使い方
  1. 課題ページに戻る

2022 年度 実施状況報告書

Phase nucleation in curved space

研究課題

研究課題/領域番号 21K03540
研究機関慶應義塾大学

研究代表者

フラキ アントニノ  慶應義塾大学, 商学部(日吉), 准教授 (20444474)

研究期間 (年度) 2021-04-01 – 2025-03-31
キーワードPhase transition / Quantum vacuum / Curved space / Quantum field theory / Zeta function / Effective action / Cold atoms / Spectral geometry
研究実績の概要

The work carried so far has been focusing on developing a technique to compute quantum vacuum effects in stationary backgrounds and in theories with interactions, as these allow to consider phase transitions and bubble nucleation.

We have developed such a method for a nonlinear quantum field theory for which we could exactly integrate the equation of motion and in turn quantize the theory at full nonlinear level, without resorting to a perturbative approach. Furthermore we have developed an original and very powerful numerical implementation of zeta-function regularization, based on the Weyl spectral theorem. We have tested this approach to compute the vacuum energy in a variety of cases (work published in Physical Review D) and we have just extended the approach to a non-relativistic Schrodinger quantum field theory (a paper is being written up and should be submitted before the summer).

The problem we are currently engaged in has to do with the formation of bubbles, as outlined in the research proposal, in the context of a Bose binary mixture on a spherical surface. This part of the work is in progress: we have developed the necessary formalism to address this problem and we are in the process of developing its numerical implementation. We hope to finish a paper about this also before next summer.

現在までの達成度 (区分)
現在までの達成度 (区分)

2: おおむね順調に進展している

理由

The project is proceeding rather smoothly and my current research that focuses on obtaining bubble solutions in a binary Bose mixture is proven to be very exciting, due to recent experiments in cold atoms. In fact, this is an unexpected positive turn in my research as it can reveal a new path to describe new yet-to-observe physical phenomena and connect certain aspects of quantum field theory in curved space with the physics of ultra-cold atoms as well as indicate new experimental opportunities.

今後の研究の推進方策

Over the next 6 months I am planning to complete the work on the bubble formation in binary mixtures, as well as another work on quantum vacuum effects in curved space with defects. I am planning to promote the work at the next JPS meeting and in a research trip next September.

次年度使用額が生じた理由

For the next fiscal year, I am planning a research visit to the Centre of Excellence in Future Low-Energy Electronics Technologies at the School of Mathematics and Physics of the University of Queensland in Australia where a very active research group in cold atoms and also one of my collaborators are based. For this trip I am expecting to use about 400,000 yen (flight cost plus 2 weeks stay). In September 2023, I am also planning to attend the JPS meeting to be held at the university of Tohoku, for which I am expecting too use about 100,000 yen (train fare plus one week stay).

  • 研究成果

    (3件)

すべて 2023 2022

すべて 雑誌論文 (2件) (うち国際共著 2件、 査読あり 2件、 オープンアクセス 1件) 学会発表 (1件) (うち国際学会 1件)

  • [雑誌論文] Quantum vacuum, rotation, and nonlinear fields2023

    • 著者名/発表者名
      Antonino Flachi and Matthew Edmonds
    • 雑誌名

      PHYSICAL REVIEW D

      巻: 107 ページ: 025008

    • DOI

      10.1103/PhysRevD.107.025008

    • 査読あり / オープンアクセス / 国際共著
  • [雑誌論文] Quantum vacuum phenomena in various backgrounds2022

    • 著者名/発表者名
      Antonino Flachi
    • 雑誌名

      International Journal of Modern Physics A

      巻: 37 ページ: 2241008-1-26

    • DOI

      10.1142/S0217751X22410081

    • 査読あり / 国際共著
  • [学会発表] Reflections on symmetry breaking and the quantum vacuum2022

    • 著者名/発表者名
      Antonino Flachi
    • 学会等名
      Avenues of Quantum Field Theory in Curved Space
    • 国際学会

URL: 

公開日: 2023-12-25  

サービス概要 検索マニュアル よくある質問 お知らせ 利用規程 科研費による研究の帰属

Powered by NII kakenhi