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Proposal for realizing quantum gravity by means of the holographic principle and an optical lattice loaded with ultracold gases

Research Project

Project/Area Number 18K03492
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 13020:Semiconductors, optical properties of condensed matter and atomic physics-related
Research InstitutionKindai University

Principal Investigator

Danshita Ippei  近畿大学, 理工学部, 准教授 (90586950)

Project Period (FY) 2018-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2018: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords冷却気体 / 光格子 / 量子多体系 / ホログラフィー / ホログラフィー原理 / 量子重力
Outline of Final Research Achievements

It is conjectured that investigating the temperature dependence of the quantum Lyapunov exponent, which characterizes the chaotic nature of quantum dynamics, is useful for judging whether or not a quantum many-body system is a holographically dual to a quantum gravity system. In this study, we have improved the numerical efficiency of methods based on the use of matrix product states for computing quantum many-body systems at finite temperatures. Moreover, we have proposed a way for creating quantum-degenerate gases at negative absolute temperatures with a geometric frustration, which may be used for realizing a Fermi gas on a flat band that is conjectured to be dual to a quantum gravity system.

Academic Significance and Societal Importance of the Research Achievements

開発した数値計算手法や幾何学的フラストレーションと負の絶対温度を持つ気体の生成方法は量子多体系の様々な問題に応用可能であるという意味で、学術的に意義深い。特に、空間一次元に限られるとはいえ、有限温度の量子多体系の厳密な数値計算は、冷却気体や量子磁性体などの伝統的な物性系に加えて、イオントラップや超電導回路などの量子コンピュータへの応用が期待されている系などの広い適用先が考えられる。

Report

(4 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (64 results)

All 2021 2020 2019 2018 Other

All Int'l Joint Research (1 results) Journal Article (15 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 15 results,  Open Access: 5 results) Presentation (43 results) (of which Int'l Joint Research: 19 results,  Invited: 9 results) Remarks (5 results)

  • [Int'l Joint Research] Universitat Hamburg(ドイツ)

    • Related Report
      2020 Annual Research Report
  • [Journal Article] Performance evaluation of the discrete truncated Wigner approximation for quench dynamics of quantum spin systems with long-range interactions2021

    • Author(s)
      Kunimi Masaya、Nagao Kazuma、Goto Shimpei、Danshita Ippei
    • Journal Title

      Physical Review Research

      Volume: 3 Issue: 1 Pages: 013060-013060

    • DOI

      10.1103/physrevresearch.3.013060

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Minimally entangled typical thermal states algorithm with Trotter gates2020

    • Author(s)
      Goto Shimpei、Danshita Ippei
    • Journal Title

      Physical Review Research

      Volume: 2 Issue: 4 Pages: 043236-043236

    • DOI

      10.1103/physrevresearch.2.043236

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Energy redistribution and spatiotemporal evolution of correlations after a sudden quench of the Bose-Hubbard mode2020

    • Author(s)
      Yosuke Takasu, Tomoya Yagami, Hiroto Asaka, Yoshiaki Fukushima, Kazuma Nagao, Shimpei Goto, Ippei Danshita and Yoshiro Takahashi
    • Journal Title

      Science Advances

      Volume: 6 Issue: 40

    • DOI

      10.1126/sciadv.aba9255

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Measurement-induced transitions of the entanglement scaling law in ultracold gases with controllable dissipation2020

    • Author(s)
      Shimpei Goto and Ippei Danshita
    • Journal Title

      Phy. Rev. A

      Volume: 102 Issue: 3 Pages: 033316-033316

    • DOI

      10.1103/physreva.102.033316

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Semiclassical dynamics of a dark soliton in a one-dimensional bosonic superfluid in an optical lattice2020

    • Author(s)
      Ozaki Yusuke、Nagao Kazuma、Danshita Ippei、Kasamatsu Kenichi
    • Journal Title

      Physical Review Research

      Volume: 2 Issue: 3 Pages: 033272-033272

    • DOI

      10.1103/physrevresearch.2.033272

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Frustrated Quantum Magnetism with Bose Gases in Triangular Optical Lattices at Negative Absolute Temperatures2020

    • Author(s)
      Daisuke Yamamoto、Takeshi Fukuhara、Ippei Danshita
    • Journal Title

      Communications Physics

      Volume: 3 Issue: 1 Pages: 56-56

    • DOI

      10.1038/s42005-020-0323-5

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Nonequilibrium steady states of Bose-Einstein condensates with a local particle loss in double potential barriers2019

    • Author(s)
      Masaya Kunimi、Ippei Danshita
    • Journal Title

      Physical Review A

      Volume: 100 Issue: 6

    • DOI

      10.1103/physreva.100.063617

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Quasiexact Kondo Dynamics of Fermionic Alkaline-Earth-Like Atoms at Finite Temperatures2019

    • Author(s)
      Goto Shimpei、Danshita Ippei
    • Journal Title

      Physical Review Letters

      Volume: 123 Issue: 14

    • DOI

      10.1103/physrevlett.123.143002

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Magnetism driven by the interplay of fluctuations and frustration in the easy-axis triangular XXZ model with transverse fields2019

    • Author(s)
      Yamamoto Daisuke、Marmorini Giacomo、Tabata Masahiro、Sakakura Kazuki、Danshita Ippei
    • Journal Title

      Physical Review B

      Volume: 100 Issue: 14 Pages: 140410-140410

    • DOI

      10.1103/physrevb.100.140410

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Decay mechanisms of superflow of Bose-Einstein condensates in ring traps2019

    • Author(s)
      Kunimi Masaya、Danshita Ippei
    • Journal Title

      Physical Review A

      Volume: 99 Issue: 4

    • DOI

      10.1103/physreva.99.043613

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Semiclassical quench dynamics of Bose gases in optical lattices2019

    • Author(s)
      Nagao Kazuma、Kunimi Masaya、Takasu Yosuke、Takahashi Yoshiro、Danshita Ippei
    • Journal Title

      Physical Review A

      Volume: 99 Issue: 2 Pages: 023622-023622

    • DOI

      10.1103/physreva.99.023622

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Performance of the time-dependent variational principle for matrix product states in the long-time evolution of a pure state2019

    • Author(s)
      Goto Shimpei、Danshita Ippei
    • Journal Title

      Physical Review B

      Volume: 99 Issue: 5 Pages: 054307-054307

    • DOI

      10.1103/physrevb.99.054307

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Response of the Higgs ampitude mode of superfluid Bose gases in a three-dimensional optical lattice2018

    • Author(s)
      Kazuma Nagao, Yoshiro Takahashi, Ippei Danshita
    • Journal Title

      Physical Review A

      Volume: 97 Issue: 4 Pages: 043628-043628

    • DOI

      10.1103/physreva.97.043628

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Reduction of Topological Z Classification in Cold-Atom Systems2018

    • Author(s)
      Yoshida Tsuneya、Danshita Ippei、Peters Robert、Kawakami Norio
    • Journal Title

      Physical Review Letters

      Volume: 121 Issue: 2 Pages: 025301-025301

    • DOI

      10.1103/physrevlett.121.025301

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Sachdev-Ye-Kitaev模型,ブラックホール,冷却気体系2018

    • Author(s)
      段下一平、花田政範、手塚真樹
    • Journal Title

      日本物理学会誌

      Volume: 73 Pages: 569-574

    • NAID

      130007610811

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] ランダム行列積状態を用いた有限温度量子多体系の数値解析手法:エンタングルメントによるサンプリング効率の改善2021

    • Author(s)
      後藤慎平, 金子隆威, 段下一平
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 光格子中のアルカリ土類型原子気体における近藤効果の実時間ダイナミックス2021

    • Author(s)
      段下一平
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] 光格子中のBose気体の超流動状態に対する局所的な散逸の効果2021

    • Author(s)
      浅井詩緒乃, 後藤慎平, 段下一平
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 1次元Bose-Hubbard模型の非エルゴード的ダイナミクスに対する閉じ込めポテンシャルの効果2021

    • Author(s)
      國見昌哉, 段下一平
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 二次元冷却原子系の相関伝搬ダイナミクス:テンソルネットワーク法による解析2021

    • Author(s)
      金子隆威, 段下一平
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 光格子中の二軌道Bose気体における遍歴粒子の超流動流の臨界運動量2021

    • Author(s)
      段下一平, 後藤慎平, 横井真理
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] カゴメ光格子中のフラストレートBose原子気体の準古典解析II2021

    • Author(s)
      尾崎裕介, 山本大輔, 段下一平
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Mott絶縁体転移近傍の光格子中の2成分Bose粒子系における超流動液滴状態2021

    • Author(s)
      町田佳央, 段下一平, 山本大輔, 笠松健一
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 最小エンタングルメント典型熱状態アルゴリズムにおける自己相関問題のTrotterゲートを用いた解消法2020

    • Author(s)
      後藤慎平,段下一平
    • Organizer
      日本物理学会2020年秋季大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 散逸Bose-Hubbard模型における観測誘起臨界状態の同定方法2020

    • Author(s)
      後藤慎平,段下一平
    • Organizer
      日本物理学会2020年秋季大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] カゴメ光格子中のフラストレートBose原子気体の準古典解析2020

    • Author(s)
      尾崎裕介,山本大輔,段下一平
    • Organizer
      日本物理学会2020年秋季大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Bose-Hubbard模型の量子クエンチ後の非平衡ダイナミクスに関する量子シミュレーションと数値計算の比較2020

    • Author(s)
      段下一平
    • Organizer
      物性研究所短期研究会「量子多体計算と第一原理計算の新展開」
    • Related Report
      2020 Annual Research Report
  • [Presentation] Instability of a dark soliton by quantum fluctuations in a one-dimensional Bose gas in an optical lattice2019

    • Author(s)
      Yusuke Ozaki, Kazuma Nagao, Ippei Danshita, Kenichi Kasamatsu
    • Organizer
      EU-USA-Japan International Symposium on Quantum Technology
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Towards quantum simulation of Kondo effects with ultracold alkali-earth-like Fermi gases2019

    • Author(s)
      Shimpei Goto, Koki Ono, Shunya Higomoto, Ippei Danshita, Yoshiro Takahashi
    • Organizer
      EU-USA-Japan International Symposium on Quantum Technology
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Instability of a dark soliton by quantum fluctuations in a one-dimensional lattice Bose gas2019

    • Author(s)
      Yusuke Ozaki, Kazuma Nagao, Ippei Danshita, Kenichi Kasamatsu
    • Organizer
      The 4th Kyoto-Beijing-Tokyo Workshop on Ultracold Atomic Gases
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Kondo dynamics in ultracold alkali-earth-like atoms at finite temperatures2019

    • Author(s)
      Shimpei Goto, Ippei Danshita
    • Organizer
      The 4th Kyoto-Beijing-Tokyo Workshop on Ultracold Atomic Gases
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Kondo Transport of Two-Orbital Fermi gases2019

    • Author(s)
      Shimpei Goto, Ippei Danshita
    • Organizer
      The 28th Annual International Laser Physics Workshop
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Semi-classical dynamics of a dark soliton in a one-dimensional lattice Bose gas2019

    • Author(s)
      Yusuke Ozaki, Kazuma Nagao, Ippei Danshita, Kenichi Kasamatsu
    • Organizer
      The 28th Annual International Laser Physics Workshop
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Kondo transport dynamics of alkaline-earth-like atoms at finite temperatures2019

    • Author(s)
      Ippei Danshita
    • Organizer
      The 5th Conference on Condensed Matter Physics
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Accurate real-time dynamics of the Kondo impurity model at finite temperatures2019

    • Author(s)
      Ippei Danshita
    • Organizer
      Emergent phenomena in ultracold atoms: merging topology, interaction, and dynamics
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Finite Temperature Dynamics of the Kondo Model in Ultracold Alkaline-Earth Atoms2019

    • Author(s)
      Shimpei Goto, Ippei Danshita
    • Organizer
      50th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Diagnosing Kondo Effects of Fermionic Alkaline-earth Atoms through a Dipole Oscillation2019

    • Author(s)
      Shimpei Goto, Ippei Danshita
    • Organizer
      Quantum Simulation of Novel Phenomena with Ultracold Atoms
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Bistability of Bose-Einstein Condensates with a Local Loss Term and Pinning Potentials2019

    • Author(s)
      Masaya Kunimi, Ippei Danshita
    • Organizer
      Quantum Simulation of Novel Phenomena with Ultracold Atoms
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Semi-classical Dynamics of a Dark Soliton in One-dimensional Bose Gases in an Optical Lattice2019

    • Author(s)
      Yusuke Ozaki, Kazuma Nagao, Ippei Danshita, Kenichi Kasamatsu
    • Organizer
      Quantum Simulation of Novel Phenomena with Ultracold Atoms
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 冷却気体系における体積則状態と面積則状態の間の観測誘起型転移2019

    • Author(s)
      後藤慎平,段下一平
    • Organizer
      日本物理学会秋季大会
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 光格子中における遍歴1S0原子・局在3P0原子間スピン交換ダイナミクスのモデル化と数値シミュレーション2019

    • Author(s)
      後藤慎平, 段下一平, 小野滉貴, 天野良樹, 肥後本隼也, 高橋義朗
    • Organizer
      日本物理学会秋季大会
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 光格子中のフェルミ気体における強相関効果:SYK模型と近藤効果2019

    • Author(s)
      段下一平
    • Organizer
      量子多体系の素核・物性クロスオーバー
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 局所粒子数ロスを有するBose-Einstein凝縮体のピン留めポテンシャル誘起の双安定性2019

    • Author(s)
      國見昌哉、段下一平
    • Organizer
      日本物理学会第74回年次大会
    • Related Report
      2018 Research-status Report
  • [Presentation] SU(3)-discrete truncated-Wigner近似の開発と冷却原子系への応用2019

    • Author(s)
      長尾一馬、高須洋介、高橋義朗、段下一平
    • Organizer
      日本物理学会第74回年次大会
    • Related Report
      2018 Research-status Report
  • [Presentation] 冷却原子系の近藤効果:行列積状態による有限温度ダイナミクスのシミュレーション2019

    • Author(s)
      後藤慎平、段下一平
    • Organizer
      日本物理学会第74回年次大会
    • Related Report
      2018 Research-status Report
  • [Presentation] Far-from-equilibrium dynamics of the Bose-Hubbard model: Quantum and classical simulations2018

    • Author(s)
      Ippei Danshita
    • Organizer
      2018 International Workshop on Quantum Information, Quantum Computing and Quantum Control
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Quench Dynamics of the Bose-Hubbard Model: Digital Classical Simulation versus Analog Quantum Simulation2018

    • Author(s)
      Ippei Danshita
    • Organizer
      The 3rd Beijing-Tokyo Workshop on Ultracold Atomic Gases
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 冷却原子系における超流動流に対する粒子ロスの効果2018

    • Author(s)
      國見昌哉、段下一平
    • Organizer
      超流動3HeおよびスピノールBECにおけるトポロジカル相・励起
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 局所粒子数ロスが誘起する超流動流の安定性2018

    • Author(s)
      國見昌哉、段下一平
    • Organizer
      日本物理学会2018年秋季大会
    • Related Report
      2018 Research-status Report
  • [Presentation] 冷却原子系における有限温度超流動体の超流動流の減衰2018

    • Author(s)
      國見昌哉、段下一平
    • Organizer
      熱場の量子論とその応用
    • Related Report
      2018 Research-status Report
  • [Presentation] 局所粒子数ロスを有するボース凝縮体の双安定性2018

    • Author(s)
      國見昌哉、段下一平
    • Organizer
      非平衡系の物理学ー階層性と普遍性ー
    • Related Report
      2018 Research-status Report
  • [Presentation] Can the truncated-Wigner approximation correctly describe thermal and quantum phase slips in one-dimensional Bose gases?2018

    • Author(s)
      Masaya Kunimi, Ippei Danshita
    • Organizer
      International Symposium on Quantum Fluids and Solids 2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 強相関ボース気体における空間相関の伝搬に対するSU(3)Truncated-Wigner近似2018

    • Author(s)
      長尾一馬、高須洋介、高橋義朗、段下一平
    • Organizer
      日本物理学会2018年秋季大会
    • Related Report
      2018 Research-status Report
  • [Presentation] ボース・ハバード系における量子相転移をまたぐ急峻なクエンチ後の空間相関の準古典的伝搬2018

    • Author(s)
      長尾一馬、國見昌哉、高須洋介、高橋義朗、段下一平
    • Organizer
      日本物理学会2018年秋季大会
    • Related Report
      2018 Research-status Report
  • [Presentation] 時間依存変分原理を行列積状態の時間発展とその長時間ダイナミクス2018

    • Author(s)
      後藤慎平、段下一平
    • Organizer
      日本物理学会2018年秋季大会
    • Related Report
      2018 Research-status Report
  • [Presentation] Kondo Dynamics in Fermionic Alkaline-Earth Atoms at Finite Temperatures2018

    • Author(s)
      Shimpei Goto, Ippei Danshita
    • Organizer
      Quantum Phases of Fermions in Optical Lattices: The Low-Temperature Frontier
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Cooling schemes for two-component fermions in bilayer optical lattices2018

    • Author(s)
      Shimpei Goto, Ippei Danshita
    • Organizer
      C3QS: Coherent Control of Complex Quantum Systems 2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 冷却アルカリ土類原子系の有限温度近藤ダイナミクス2018

    • Author(s)
      後藤慎平、段下一平
    • Organizer
      スピン系物理の最前線
    • Related Report
      2018 Research-status Report
  • [Remarks] 冷却原子を用いた量子多体ダイナミクスの量子シミュレーション

    • URL

      https://newscast.jp/news/3222759

    • Related Report
      2020 Annual Research Report
  • [Remarks] フラストレートした量子磁性体の量子シミュレーション方法を提唱

    • URL

      https://newscast.jp/news/492879

    • Related Report
      2020 Annual Research Report
  • [Remarks] 「近藤効果」の厳密な計算機シミュレーションに成功

    • URL

      https://newscast.jp/news/863714

    • Related Report
      2020 Annual Research Report
  • [Remarks] フラストレートした量子磁性体の量子シミュレーション方法を提唱

    • URL

      http://www.news2u.net/releases/168204

    • Related Report
      2019 Research-status Report
  • [Remarks] 「近藤効果」の厳密な計算機シミュレーションに成功

    • URL

      http://www.news2u.net/releases/167139

    • Related Report
      2019 Research-status Report

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Published: 2018-04-23   Modified: 2022-01-27  

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