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Study on the quantum simulation of the Hubbard model using trapped ions

Research Project

Project/Area Number 26400418
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Atomic/Molecular/Quantum electronics
Research InstitutionOsaka University

Principal Investigator

Toyoda Kenji  大阪大学, 基礎工学研究科, 助教 (20314403)

Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Keywordsイオントラップ / 量子シミュレーション / 量子情報処理 / 量子情報 / レーザー冷却 / 量子計算 / 量子エレクトロニクス / ジェインズ・カミングス・ハバード模型 / ハバード模型
Outline of Final Research Achievements

In this study, by using strings of trapped ions, we have conducted basic researches on the quantum simulation of physical models that capture the basic chracteristics of strongly interacting electron systems in solids and on phonon-based quantum information processing. We developed an optical system that enabled the excitation of individual ions with high intensities, and by using it we performed the quantum simulation of the Jaynes-Cummings-Hubbard model with 2-4 calcium ions, observing quantum phase transitions between Mott insulators and superfluids. In addition, we observed, for the first time, a quantum interference of two phonons (Hong-Ou-Mandel effect) and a 1-phonon quantum walk in 4 sites.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (22 results)

All 2017 2016 2015 2014 Other

All Journal Article (4 results) (of which Peer Reviewed: 4 results,  Open Access: 2 results,  Acknowledgement Compliant: 1 results) Presentation (16 results) (of which Int'l Joint Research: 5 results,  Invited: 5 results) Remarks (2 results)

  • [Journal Article] Frequency Measurement System of Optical Clocks Without a Flywheel Oscillator2016

    • Author(s)
      Miho Fujieda, Tetsuya Ido, Hidekazu Hachisu, Tadahiro Gotoh, Hiroshi Takiguchi, Kazuhiro Hayasaka, Kenji Toyoda, Kenji Yonegaki, Utako Tanaka, and Shinji Urabe
    • Journal Title

      IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

      Volume: 63 Issue: 12 Pages: 2231-2236

    • DOI

      10.1109/tuffc.2016.2615119

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Hong-Ou-Mandel interference of two phonons in trapped ions2015

    • Author(s)
      Kenji Toyoda, Ryoto Hiji, Atsushi Noguchi, and Shinji Urabe
    • Journal Title

      Nature

      Volume: 527 Issue: 7576 Pages: 74-77

    • DOI

      10.1038/527045a

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Aharonov-Bohm effect in the tunneling of a quantum rotor in a linear trap2014

    • Author(s)
      Atsushi Noguchi, Yutaka Shikano, Kenji Toyoda, and Shinji Urabe
    • Journal Title

      Nature Commun

      Volume: Vol.5 Issue: 1 Pages: 3868-3868

    • DOI

      10.1038/ncomms4868

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] 冷却イオンの量子エンタングルメント生成2014

    • Author(s)
      野口篤史, 豊田健二, 占部伸二
    • Journal Title

      日本物理学会誌

      Volume: 69 Pages: 308-313

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Presentation] 冷却イオンを用いた4サイトJaynes-Cummings-Hubbard模型の量子シミュレーション2017

    • Author(s)
      劉福海, 丸橋裕一, 豊田健二
    • Organizer
      日本物理学会第72回年次大会(2017年)
    • Place of Presentation
      大阪大学豊中キャンパス(大阪府豊中市)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
  • [Presentation] イオンを用いた複数動径振動モードのフォノン数分解検出2017

    • Author(s)
      丸橋裕一, 劉福海, 豊田健二
    • Organizer
      日本物理学会第72回年次大会(2017年)
    • Place of Presentation
      大阪大学豊中キャンパス(大阪府豊中市)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
  • [Presentation] Quantum simulation with an array of Jaynes-Cummings systems using trapped ions2017

    • Author(s)
      K. Toyoda
    • Organizer
      The 1st Asia-Pacific Workshop on Trapped Quantum Systems (APTQS2017)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Phonon-number-resolving detection of multiple radial phonon modes with trapped ions2017

    • Author(s)
      Yuichi Maruhashi, Fukukai Ryu, Kenji Toyoda
    • Organizer
      The 24th Congress of the International Commission for Optics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Quantum simulation of the Jaynes-Cummings-Hubbard model with four trapped ions2017

    • Author(s)
      Fukukai Ryu, Yuichi Maruhashi, Kenji Toyoda
    • Organizer
      International Conference on Laser Spectroscopy
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Phonon-number-resolving detection of radial vibrational modes in trapped ions2017

    • Author(s)
      Yuichi Maruhashi, Fukukai Ryu, Kenji Toyoda
    • Organizer
      International Conference on Laser Spectroscopy
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 冷却イオンを用いた局所フォノンのホッピングダイナミクスの観測2017

    • Author(s)
      田村昌也、田中歌子、向山敬、豊田健二
    • Organizer
      日本物理学会第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] イオンを用いたJaynes-Cummings-Hubbard模型におけるポラリトン数分散の評価2017

    • Author(s)
      冨桝豪、田中歌子、向山敬、豊田健二
    • Organizer
      日本物理学会2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] イオン配列中フォノンの光制御と情報処理への応用2017

    • Author(s)
      豊田健二
    • Organizer
      応用物理学会・量子エレクトロニクス研究会「光操作の最前線」
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Quantum information processing and quantum simulation based on phonons in trapped ions2016

    • Author(s)
      K. Toyoda and S. Urabe
    • Organizer
      ECTI 2016 - European Conference on Trapped Ions
    • Place of Presentation
      Waldhotel National Arosa, Switzerland
    • Year and Date
      2016-08-29
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 個別アクセス光ビームを用いたJaynes-Cummings-Hubbardモデルの局所操作2016

    • Author(s)
      村上慶、比治諒人、豊田健二、占部伸二
    • Organizer
      日本物理学会 第71回年次大会(2016年)
    • Place of Presentation
      東北学院大学
    • Year and Date
      2016-03-22
    • Related Report
      2015 Research-status Report
  • [Presentation] イオンの振動量子状態のモード間結合の実現2015

    • Author(s)
      洲崎景介, 戸次翔太, 豊田健二, 占部伸二
    • Organizer
      日本物理学会2015年秋季大会
    • Place of Presentation
      関西大学
    • Year and Date
      2015-09-19
    • Related Report
      2015 Research-status Report
  • [Presentation] 光マルチアクセスによるJaynes-Cummings-Hubbard模型の量子シミュレーションの多サイト化2015

    • Author(s)
      河野修久,比治諒人,野口篤志A,豊田健二,占部伸二
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学 早稲田キャンパス
    • Year and Date
      2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] 搬送波位相衛星双方向比較による40Ca+イオンの4s 2S1/2 - 3d 2D5/2遷移周波数の測定2015

    • Author(s)
      米垣賢治,豊田健二,田中歌子,占部伸二,藤枝美穂,早坂和弘,井戸哲也
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学 早稲田キャンパス
    • Year and Date
      2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] Quantum Simulation of the Jaynes-Cummings-Hubbard Model Using Trapped Ions2014

    • Author(s)
      K. Toyoda, A. Noguchi and S. Urabe
    • Organizer
      TCP 2014 - The sixth international conference on Trapped Charged Particles and Fundamental Physics
    • Place of Presentation
      Kagawa International Conference Hall, Takamatsu Symbol Tower 6F
    • Year and Date
      2014-12-05
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Quantum Simulation of the Jaynes-Cummings-Hubbard Model Using Trapped Ions2014

    • Author(s)
      K. Toyoda, A. Noguchi and S. Urabe
    • Organizer
      ECTI 2014 - 3rd European Conference on Trapped Ions
    • Place of Presentation
      Schloss Waldthausen, Germany
    • Year and Date
      2014-09-19
    • Related Report
      2014 Research-status Report
    • Invited
  • [Remarks] Urabe lab., Osaka univ.

    • URL

      http://www.qe.ee.es.osaka-u.ac.jp/

    • Related Report
      2014 Research-status Report
  • [Remarks] Expect new quantum information and ...

    • URL

      http://resou.osaka-u.ac.jp/en/research/2014/20140513_2

    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2019-03-29  

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