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Constructing Formula of Nonequilibrium Physics by using Quantum Continuous Measurement and Quantum Field Theory

Research Project

Project/Area Number 24840015
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionKyoto University

Principal Investigator

YU Watanabe  京都大学, 基礎物理学研究所, 助教 (80633271)

Project Period (FY) 2012-08-31 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords量子エレクトロニクス / 量子情報 / 物性基礎論 / 情報基礎 / 量子情報理論 / 量子測定理論 / 量子統計力学
Research Abstract

We derive integral quantum fluctuation theorems and quantum Jarzynski equalities for a feedback-controlled system and a memory which registers outcomes of the measurement. The generalized second law of thermodynamics under measurement and feedback control is reproduced from these equalities. We also show that entanglement can be utilized to extract the thermodynamic work beyond classical correlation via feedback control. We propose new hypothesis for thermalization of isolated quantum systems, and show the hypothesis gives larger contribution than well known hypothesis to the thermalization. We also show that the system thermalize even if it is integrable.
We analyze a simultaneous continuous measurement of photon-counting and homodyne detection. A formula for the expectation values of the homodyne records conditioned on a photon-counting event is also derived, which quantitatively describes the measurement backaction of photon-counting on the homodyne output.

Report

(3 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • Research Products

    (31 results)

All 2014 2013 2012 Other

All Journal Article (8 results) (of which Peer Reviewed: 4 results,  Acknowledgement Compliant: 2 results) Presentation (20 results) (of which Invited: 5 results) Book (2 results) Remarks (1 results)

  • [Journal Article] Finite-size scaling analysis of the eigenstate thermalization hypothesis in a one-dimensional interacting Bose gas2013

    • Author(s)
      Tatsuhiko N. Ikeda, Yu Watanabe, and Masahito Ueda
    • Journal Title

      Physical Review E

      Volume: 87 Pages: 12125-12125

    • Related Report
      2013 Final Research Report
  • [Journal Article] Simultaneous continuous measurement of photon-counting and homodyne detection on a free photon field : dynamics of state reduction and the mutual influence of measurement backaction2013

    • Author(s)
      Yui Kuramochi, Yu Watanabe, and Masahito Ueda
    • Journal Title

      J.Phys.A : Math.Theor

      Volume: 46 Pages: 425303-425303

    • Related Report
      2013 Final Research Report
  • [Journal Article] Integral quantum fluctuation theorems under measurement and feedback control2013

    • Author(s)
      Ken Funo, Yu Watanabe, and Masahito Ueda
    • Journal Title

      Phys.Rev.E

      Volume: 88 Pages: 52121-52121

    • Related Report
      2013 Final Research Report
  • [Journal Article] Thermodynamic work gain from entanglement2013

    • Author(s)
      Ken Funo, Yu Watanabe, and Masahito Ueda
    • Journal Title

      Phys.Rev.A

      Volume: 88 Pages: 52319-52319

    • Related Report
      2013 Final Research Report
  • [Journal Article] Thermodynamic work gain from entanglement2013

    • Author(s)
      K. Funo, Y. Watanabe and M. Ueda
    • Journal Title

      Physical Review A

      Volume: 88 Issue: 5 Pages: 052319-052319

    • DOI

      10.1103/physreva.88.052319

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Integral quantum fluctuation theorems under measurement and feedback control2013

    • Author(s)
      K. Funo, Y. Watanabe and M. Ueda
    • Journal Title

      Physical Review E

      Volume: 88 Issue: 5 Pages: 052121-052121

    • DOI

      10.1103/physreve.88.052121

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Simultaneous continuous measurement of photon-counting and homodyne detection on a free photon field: dynamics of state reduction and the mutual influence of measurement backaction2013

    • Author(s)
      Yui Kuramochi, Yu Watanabe and Masahito Ueda
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 46 Issue: 42 Pages: 425303-425303

    • DOI

      10.1088/1751-8113/46/42/425303

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finite-size scaling analysis of the eigenstate thermalization hypothesis in a one-dimensional interacting Rose gas2013

    • Author(s)
      Tatsuhiko N. Ikeda, Yu Watanabe, Masahito Ueda
    • Journal Title

      Physical Review E

      Volume: 87 Issue: 1

    • DOI

      10.1103/physreve.87.012125

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Presentation] 量子測定理論の基礎2014

    • Author(s)
      渡辺優
    • Organizer
      量子情報チュートリアルワークショップ
    • Place of Presentation
      京都大学
    • Year and Date
      2014-03-22
    • Related Report
      2013 Annual Research Report 2013 Final Research Report
  • [Presentation] 孤立量子系の熱平衡化2014

    • Author(s)
      渡辺優
    • Organizer
      第3回QUATUO研究会
    • Place of Presentation
      高知工科大学 (国内研究会, ポスター発表)
    • Year and Date
      2014-01-12
    • Related Report
      2013 Final Research Report
  • [Presentation] 孤立量子系の熱平衡化2014

    • Author(s)
      渡辺優
    • Organizer
      第3回QUATUO研究会
    • Place of Presentation
      高知工科大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] Random matrix study of time scale of thermalization after a quantum quench2013

    • Author(s)
      Yu Watanabe
    • Organizer
      Interdisciplinary mini-workshop on nonequilibrium physics
    • Place of Presentation
      Kyoto Univ.
    • Year and Date
      2013-12-07
    • Related Report
      2013 Final Research Report
  • [Presentation] 孤立量子系における平衡化のタイムスケールの導出2013

    • Author(s)
      渡辺優
    • Organizer
      日本物理学会2013年秋季大会
    • Place of Presentation
      徳島大学
    • Year and Date
      2013-09-27
    • Related Report
      2013 Annual Research Report 2013 Final Research Report
  • [Presentation] 量子推定理論を用いた不確定性関係の導出2013

    • Author(s)
      渡辺優
    • Organizer
      日本物理学会68回年次大会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-27
    • Related Report
      2013 Final Research Report
  • [Presentation] 量子推定論―基礎から不確定性関係への応用まで―2013

    • Author(s)
      渡辺優
    • Organizer
      第1回統計物理学懇談会
    • Place of Presentation
      学習院大学 (国内研究会)
    • Year and Date
      2013-03-05
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] Eigenstate Randomization Hypothesis : a thermalization mechanism on isolated quantum systems2013

    • Author(s)
      Yu Watanabe
    • Organizer
      Physics of Quantum Electronics (PQE2013)
    • Place of Presentation
      Cliff Lodge, Salt Lake City, USA. (国際会議)
    • Year and Date
      2013-01-09
    • Related Report
      2013 Final Research Report
  • [Presentation] Random matrix study of time scale of thermalization after a quantum quench2013

    • Author(s)
      Yu Watanabe
    • Organizer
      Interdisciplinary mini-workshop on nonequilibrium physics
    • Place of Presentation
      京都大学理学研究科
    • Related Report
      2013 Annual Research Report
  • [Presentation] Formulation of Uncertainty Relations by using Quantum Estimation Theory2012

    • Author(s)
      渡辺優
    • Organizer
      YSM-SPIP2012
    • Place of Presentation
      東北大学
    • Year and Date
      2012-12-15
    • Related Report
      2013 Final Research Report
  • [Presentation] Formulation of Uncertainty Relations by using Quantum Estimation Theory2012

    • Author(s)
      渡辺優
    • Organizer
      RIMS研究集会函数解析学による一般化エントロピーの新展開
    • Place of Presentation
      京都大学
    • Year and Date
      2012-11-14
    • Related Report
      2013 Final Research Report
  • [Presentation] Formulation of Uncertainty Relations by using Quantum Estimation Theory2012

    • Author(s)
      Yu Watanabe
    • Organizer
      Low-Dimensional Nanoscale Systems : Quantum Effects Particle Transport and Advanced Materials
    • Place of Presentation
      ウズベキスタン大学 (国際会議)
    • Year and Date
      2012-11-07
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] Formulation of Uncertainty Relations by using Quantum Estimation Theory2012

    • Author(s)
      渡辺優
    • Organizer
      RIMS研究集会量子論における統計的推測の理論と応用
    • Place of Presentation
      京都大学 (国内研究会, 一般講演)
    • Year and Date
      2012-11-01
    • Related Report
      2013 Final Research Report
  • [Presentation] Formulation of Uncertainty Relations by using Quantum Estimation Theory

    • Author(s)
      渡辺 優
    • Organizer
      RIMS研究集会 量子論における統計的推測の理論と応用
    • Place of Presentation
      京都大学 (京都府)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Formulation of Uncertainty Relation by using Quantum Information Geometry

    • Author(s)
      渡辺 優
    • Organizer
      RIMS研究集会 函数解析学による一般化エントロピーの新展開
    • Place of Presentation
      京都大学 (京都府)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Formulation of Uncertainty Relations by using Quantum Estimation Theory

    • Author(s)
      Yu Watanabe
    • Organizer
      Low-Dimensional Nanoscale Systems: Quantum Effects, Particke Transport and Advanced Materials
    • Place of Presentation
      ウズベキスタン大学 (タシュケント, ウズベキスタン)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Formulation of Uncertainty Relation by using Quantum Information Geometry

    • Author(s)
      渡辺 優
    • Organizer
      YSM-SPIP 2012
    • Place of Presentation
      東北大学 (宮城県)
    • Related Report
      2012 Annual Research Report
  • [Presentation] 量子推定論 --- 基礎から不確定性関係への応用まで ---

    • Author(s)
      渡辺 優
    • Organizer
      第1回 統計物理学懇談会
    • Place of Presentation
      学習院大学 (東京都)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Eigenstate Randomization Hypothesis: a thermalization mechanism on isolated quantum systems

    • Author(s)
      Yu Watanabe
    • Organizer
      Physics of Quantum Electronics (PQE2013)
    • Place of Presentation
      Cliff Lodge (Salt Lake City, USA)
    • Related Report
      2012 Annual Research Report
  • [Presentation] 量子推定理論を用いた不確定性関係の導出

    • Author(s)
      渡辺 優
    • Organizer
      日本物理学会 68回年次大会
    • Place of Presentation
      広島大学 (広島県)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Book] Springer (ISBN:978-4-431-54492-0)2014

    • Author(s)
      Yu Watanabe
    • Publisher
      Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory
    • Related Report
      2013 Final Research Report
  • [Book] Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory2014

    • Author(s)
      Yu Watanabe
    • Total Pages
      122
    • Publisher
      Springer
    • Related Report
      2013 Annual Research Report
  • [Remarks]

    • URL

      http://scholar.google.co.jp/citations?user=hULtEkkAAAAJ

    • Related Report
      2013 Final Research Report

URL: 

Published: 2012-11-27   Modified: 2019-07-29  

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