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Thermodynamics of Non-Equilibrium Transport in Mesoscopic Systems and Quantum Nano-Scale Heat Engine

Research Project

Project/Area Number 15K05200
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionThe University of Tokyo

Principal Investigator

Hatano Naomichi  東京大学, 生産技術研究所, 准教授 (70251402)

Co-Investigator(Kenkyū-buntansha) 内山 智香子  山梨大学, 大学院総合研究部, 教授 (30221807)
Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2017: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords量子熱電効果 / 量子熱力学 / 非平衡定常状態 / 熱効率 / 仕事率 / 熱電効果 / 量子熱機関 / ランダウアー公式 / カルノー効率 / アンダーソン局在 / 定常熱機関 / 非平衡量子系 / 熱力学 / 微小熱機関
Outline of Final Research Achievements

It is generally difficult to define heat and work in nonequilibrium transport in quantum mesoscopic systems. We succeeded in defining them by considering the nonequilibrium stationary state. There we can heat and work from those that the heat baths on the both sides lose. Using this formulation, we construct the general theory of quantum thermoelectricity and found in what situations we have higher heat efficiency and power.

We proved that the upper limit of the heat efficiency is the Carnot efficiency and showed that it is realized only when the mesoscopic system transmits particles at a certain fixed energy. This corresponds to the quasi-stationary process of classical thermodynamics. We also showed that by braking the time-reversal symmetry both by a magnetic field and an inelastic scattering, we can increase the power.

Report

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

    (59 results)

All 2018 2017 2016 2015 Other

All Int'l Joint Research (4 results) Journal Article (11 results) (of which Int'l Joint Research: 8 results,  Peer Reviewed: 11 results,  Acknowledgement Compliant: 5 results,  Open Access: 2 results) Presentation (43 results) (of which Int'l Joint Research: 19 results,  Invited: 8 results) Remarks (1 results)

  • [Int'l Joint Research] Tel Aviv University/Ben Gurion University/University of Haifa(Israel)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Butler University(U.S.A.)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Butler University(U.S.A.)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Ben Gurion University of Negev/Tel Aviv University/University of Haifa(Israel)

    • Related Report
      2016 Research-status Report
  • [Journal Article] Quantum Jarzynski equality of measurement-based work extraction2017

    • Author(s)
      Morikuni Yohei、Tajima Hiroyasu、Hatano Naomichi
    • Journal Title

      Physical Review E

      Volume: 95 Issue: 3

    • DOI

      10.1103/physreve.95.032147

    • Related Report
      2017 Annual Research Report 2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] The arrow of time in open quantum systems and dynamical breaking of the resonance?anti-resonance symmetry2017

    • Author(s)
      Ordonez Gonzalo、Hatano Naomichi
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 50 Issue: 40 Pages: 405304-405304

    • DOI

      10.1088/1751-8121/aa85ae

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Irreversibility and the breaking of resonance-antiresonance symmetry2017

    • Author(s)
      Ordonez Gonzalo、Hatano Naomichi
    • Journal Title

      Chaos: An Interdisciplinary Journal of Nonlinear Science

      Volume: 27 Issue: 10 Pages: 104608-104608

    • DOI

      10.1063/1.5001284

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Thermoelectricity near Anderson localization transitions2017

    • Author(s)
      Kaoru Yamamoto, Amnon Aharony, Ora Entin-Wohlman, Naomichi Hatano
    • Journal Title

      Physical Review B

      Volume: 96 Issue: 15

    • DOI

      10.1103/physrevb.96.155201

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] One-pot Selective Synthesis of 2,3-Dihydro-4H-Furo[3,2-c]coumarins by Palladium-Catalyzed Silver-Assisted Propargylation/Intramolecular 5-exo-dig Cyclization2017

    • Author(s)
      Uchiyama Chihiro、Miyadera Yukari、Hayashi Yoshio、Yakushiji Fumika
    • Journal Title

      ChemistrySelect

      Volume: 2 Issue: 13 Pages: 3794-3798

    • DOI

      10.1002/slct.201700475

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonadiabaticity in spin pumping under relaxation2017

    • Author(s)
      Hashimoto Kazunari、Tatara Gen、Uchiyama Chikako
    • Journal Title

      Physical Review B

      Volume: 96 Issue: 6 Pages: 1-12

    • DOI

      10.1103/physrevb.96.064439

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-Hermitian localization in biological networks2016

    • Author(s)
      A. Amir, N. Hatano, D.R. Nelson
    • Journal Title

      Physical Review E

      Volume: 93 Issue: 4 Pages: 042310-042310

    • DOI

      10.1103/physreve.93.042310

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Efficiency bounds on thermoelectric transport in magnetic fields: The role of inelastic processes2016

    • Author(s)
      K. Yamamoto, O. Entin-Wohlman, A. Aharony, N. Hatano
    • Journal Title

      Physical Review B

      Volume: 94 Issue: 12

    • DOI

      10.1103/physrevb.94.121402

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Exact scattering eigenstates in double quantum-dot systems with an interdot Coulomb interaction2016

    • Author(s)
      Akinori Nishino, Naomichi Hatano and Gonzalo Ordonez
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 670 Pages: 012038-012038

    • DOI

      10.1088/1742-6596/670/1/012038

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Chebyshev-polynomial expansion of the localization length of Hermitian and non-Hermitian random chains2016

    • Author(s)
      N. Hatano, J. Feinberg
    • Journal Title

      Physical Review E

      Volume: 94 Issue: 6 Pages: 063305-063305

    • DOI

      10.1103/physreve.94.063305

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Thermodynamics of the mesoscopic thermoelectric heat engine beyond the linear-response regime2015

    • Author(s)
      Kaoru Yamamoto, Naomichi Hatano
    • Journal Title

      Physical Review E

      Volume: 92 Issue: 2 Pages: 042165-042165

    • DOI

      10.1103/physreva.92.022125

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] 開放型二重量子ドットの非平衡電流:多電子散乱状態による解析2018

    • Author(s)
      西野晃徳, 羽田野直道, Gonzalo Ordonez
    • Organizer
      日本物理学会 第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 非エルミート性はアンダーソン局在を弱めるか2018

    • Author(s)
      羽田野直道, Amnon Aharony
    • Organizer
      日本物理学会 第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] スピンポンピングにおける非マルコフ効果2018

    • Author(s)
      橋本一成, 多々良源, 内山智香子
    • Organizer
      日本物理学会 第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Non-Markovian dynamics of energy flow2018

    • Author(s)
      手塚隆太, 橋本一成, 内山智香子
    • Organizer
      日本物理学会 第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Environmental engineering for quantum energy transport2018

    • Author(s)
      内山智香子, William J. Munro, 根本香絵
    • Organizer
      日本物理学会 第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 環境系のエンジニアリングによるエネルギー伝送 環系配置の場合2018

    • Author(s)
      今澤舜, 手塚隆太, 橋本一成, 内山智香子
    • Organizer
      日本物理学会 第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 磁化回転による電子流のスピン偏極制御2018

    • Author(s)
      古屋雄涼, 橋本一成, 内山智香子
    • Organizer
      日本物理学会 第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 開放型二重量子ドットの電流期待値:多電子散乱状態による解析2017

    • Author(s)
      西野晃徳、羽田野直道、Gonzalo Ordonez
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪大学
    • Year and Date
      2017-03-20
    • Related Report
      2016 Research-status Report
  • [Presentation] 開放量子系における時間反転対称性の自己生成的な破れ2017

    • Author(s)
      Gonzalo Ordonez、羽田野直道
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪大学
    • Year and Date
      2017-03-18
    • Related Report
      2016 Research-status Report
  • [Presentation] 磁気摩擦における境界条件2017

    • Author(s)
      杉本健太朗、羽田野直道
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪大学
    • Year and Date
      2017-03-18
    • Related Report
      2016 Research-status Report
  • [Presentation] フォノン熱浴を含んだ3端子熱電素子の熱電効率2017

    • Author(s)
      山本薫、Ora Entin-Wohlman、Amnon Aharony、羽田野直道
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪大学
    • Year and Date
      2017-03-18
    • Related Report
      2016 Research-status Report
  • [Presentation] 可積分時間周期系におけるエネルギーの上昇と一般化ギブスアンサンブル2017

    • Author(s)
      石井隆志、桑原知剛、森貴司、羽田野直道
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪大学
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
  • [Presentation] Efficiency bounds on quantum thermoelectric heat engine in magnetic fields: the role of inelastic processes2017

    • Author(s)
      山本薫、Ora Entin-Wohlman、Amnon Aharony、羽田野直道
    • Organizer
      Fifth Conference on Quantum Thermodynamics
    • Place of Presentation
      Oxford, UK
    • Year and Date
      2017-03-14
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 開放量子系のリウビル演算子の複素固有値問題2017

    • Author(s)
      羽田野直道, トミオペトロスキー
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] アンダーソン局在相転移による熱電性能の増大2017

    • Author(s)
      山本薫, Amnon Aharony, Ora Entin-Wohlman, 羽田野直道
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] スピンポンピングにおける非断熱効果の役割2017

    • Author(s)
      橋本一成, 多々良源, 内山智香子
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] エネルギー流に対する非マルコフ的影響2017

    • Author(s)
      手塚隆太, 橋本一成, 内山智香子
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Non-Hermitian Quantum Mechanics of Open Systems2017

    • Author(s)
      Naomichi Hatano
    • Organizer
      University of Firenze
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Arrow of Time in Quantum Mechanics2017

    • Author(s)
      Naomichi Hatano
    • Organizer
      University of Lecce
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Does non-Hermiticity Weaken Localization?2017

    • Author(s)
      Naomichi Hatano
    • Organizer
      PHHQP18
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 量子力学に現れる非エルミート固有値問題2017

    • Author(s)
      羽田野直道
    • Organizer
      第46回数値解析シンポジウム
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 非エルミート行列の複素固有値分布の計算アルゴリズム2017

    • Author(s)
      羽田野直道
    • Organizer
      第46回数値解析シンポジウム
    • Related Report
      2017 Annual Research Report
  • [Presentation] 非エルミート行列の複素固有値分布の計算アルゴリズム2017

    • Author(s)
      羽田野直道
    • Organizer
      日本応用数理学会2017年度年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Resonant-State Expansion in Open Quantum Systems2017

    • Author(s)
      Naomichi Hatano
    • Organizer
      META2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Arrow of Time in Quantum Mechanics of Open Systems2017

    • Author(s)
      Naomichi Hatano
    • Organizer
      EAJSSP2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Resonant-State Expansion in Open Quantum Systems2017

    • Author(s)
      Naomichi Hatano
    • Organizer
      APTQS2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Efficiency bounds on quantum thermoelectric heat engine in magnetic fields: the role of inelastic processes2016

    • Author(s)
      山本薫、Ora Entin-Wohlman、Amnon Aharony、羽田野直道
    • Organizer
      Israel Physical Society meeting
    • Place of Presentation
      Tel Aviv, Israel
    • Year and Date
      2016-12-25
    • Related Report
      2016 Research-status Report
  • [Presentation] 量子熱電素子の熱効率:時間反転対称性の破れと非弾性散乱の効果2016

    • Author(s)
      山本薫、Ora Entin-Wohlman、羽田野直道、Amnon Aharony
    • Organizer
      日本物理学会
    • Place of Presentation
      金沢大学
    • Year and Date
      2016-09-15
    • Related Report
      2016 Research-status Report
  • [Presentation] 非エルミート・ランダム鎖における非局在転移2016

    • Author(s)
      Ariel Amir、羽田野直道、David R. Nelson
    • Organizer
      日本物理学会
    • Place of Presentation
      金沢大学
    • Year and Date
      2016-09-14
    • Related Report
      2016 Research-status Report
  • [Presentation] Non-Hermitian Localization and Delocalization in the generalized Feinberg-Zee Model2016

    • Author(s)
      羽田野直道
    • Organizer
      PHHQP16
    • Place of Presentation
      京都大学
    • Year and Date
      2016-08-12
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Thermoelectric efficiency under a broken time-reversal symmetry and inelastic processes of the charge carriers2016

    • Author(s)
      山本薫、Ora Entin-Wohlman、Amnon Aharony、羽田野直道
    • Organizer
      STATPHYS26
    • Place of Presentation
      Lyon, France
    • Year and Date
      2016-07-19
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Quantum Jarzynski equality of measurement-based work extraction2016

    • Author(s)
      森國洋平、田島裕康、羽田野直道
    • Organizer
      STATPHYS26
    • Place of Presentation
      Lyon, France
    • Year and Date
      2016-07-19
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 測定により仕事取り出しに基づく量子Jarzynski等式2016

    • Author(s)
      森國洋平,田島裕康,羽田野直道
    • Organizer
      日本物理学会第71回年次大会
    • Place of Presentation
      東北学院大学(宮城県仙台市)
    • Year and Date
      2016-03-21
    • Related Report
      2015 Research-status Report
  • [Presentation] Thermodynamics of Mesoscopic Thermoelectric Heat Engine beyond Linear-Response Regime2015

    • Author(s)
      Kaoru Yamamoto, Naomichi Hatano
    • Organizer
      Third Conference on Quantum Thermodynamics
    • Place of Presentation
      Porquerolles (France)
    • Year and Date
      2015-10-13
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] メゾスコピック系定常熱機関の熱力学2015

    • Author(s)
      山本薫,羽田野直道
    • Organizer
      日本物理学会2015年秋季大会
    • Place of Presentation
      関西大学(大阪府吹田市)
    • Year and Date
      2015-09-17
    • Related Report
      2015 Research-status Report
  • [Presentation] Jarzynski Equality under Work Extraction2015

    • Author(s)
      Yohei Morikuni, Hiroyasu Tajima, Naomichi Hatano
    • Organizer
      International Symposium on Fluctuation and Structure out of Equilibrium 2015
    • Place of Presentation
      京都大学基礎物理学研究所(京都市)
    • Year and Date
      2015-08-22
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] The Nonlinear Onsager Relations between Heat and Particle Currents in Mesoscopic Thermoelectric Engines2015

    • Author(s)
      Kaoru Yamamoto, Naomichi Hatano
    • Organizer
      International Symposium on Fluctuation and Structure out of Equilibrium 2015
    • Place of Presentation
      京都大学基礎物理学研究所(京都市)
    • Year and Date
      2015-08-22
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Thermodynamics of Mesoscopic Thermoelectric Heat Engine beyond Linear-Response Regime2015

    • Author(s)
      Kaoru Yamamoto, Naomichi Hatano
    • Organizer
      International Symposium on Foundation of Quantum Transport in Nano Science
    • Place of Presentation
      山梨大学工学部(山梨県甲府市)
    • Year and Date
      2015-08-20
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Jarzynski Equality under Work Extraction2015

    • Author(s)
      Yohei Morikuni, Hiroyasu Tajima, Naomichi Hatano
    • Organizer
      Yukawa International Seminar 2015
    • Place of Presentation
      京都大学基礎物理学研究所(京都市)
    • Year and Date
      2015-08-18
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Thermodynamics of Mesoscopic Thermoelectric Heat Engine beyond Linear-Response Regime2015

    • Author(s)
      Kaoru Yamamoto, Naomichi Hatano
    • Organizer
      Yukawa International Seminar 2015
    • Place of Presentation
      京都大学基礎物理学研究所(京都市)
    • Year and Date
      2015-08-18
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Jarzynski Equality under Work Extraction2015

    • Author(s)
      Yohei Morikuni, Hiroyasu Tajima, Naomichi Hatano
    • Organizer
      New Frontiers in Non-equilibrium Statistical Physics 2015
    • Place of Presentation
      京都大学基礎物理学研究所(京都市)
    • Year and Date
      2015-07-28
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Thermodynamics of Mesoscopic Thermoelectric Heat Engine beyond Linear-Response Regime2015

    • Author(s)
      Kaoru Yamamoto, Naomichi Hatano
    • Organizer
      New Frontiers in Non-equilibrium Statistical Physics 2015
    • Place of Presentation
      京都大学基礎物理学研究所(京都市)
    • Year and Date
      2015-07-28
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Thermodynamics of mesoscopic steady-state heat engine beyond linear-response regime2015

    • Author(s)
      Kaoru Yamamoto, Naomichi Hatano
    • Organizer
      New Perspectives in Spintronic and Mesoscopic Physics
    • Place of Presentation
      東京大学物性研究所(千葉県柏市)
    • Year and Date
      2015-06-11
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Remarks] 羽田野 直道 ホームページ

    • URL

      http://hatano-lab.iis.u-tokyo.ac.jp/hatano/index-j.html

    • Related Report
      2017 Annual Research Report 2016 Research-status Report

URL: 

Published: 2015-04-16   Modified: 2019-03-29  

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