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2013 Fiscal Year Final Research Report

Analysis on equilibrium/nonequilibrium statistical mechanics by theory of operator algebra

Research Project

  • PDF
Project/Area Number 21740124
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Global analysis
Research InstitutionThe University of Tokyo

Principal Investigator

OGATA Yoshiko  東京大学, 数理(科)学研究科(研究院), 准教授 (80507955)

Project Period (FY) 2009-04-01 – 2013-03-31
Keywords量子統計力学
Research Abstract

I studied properties of macroscopic observables in quantum spin systems and time reversal symmetry in quantum nonequilibrium systems. We showed that it is possible to approximate macroscopic observables in quantum spin systems with commuting matrices. We also showed that some known function in nonequilibrium statistical mechanics of quantum systems can be interpreted as a function that represent the rate of broken time reversal symmetry.

  • Research Products

    (8 results)

All 2013 2012 2011

All Journal Article (3 results) Presentation (5 results)

  • [Journal Article] Approximating macroscopic observables in quantum spin systems with commuting matrices2013

    • Author(s)
      Y. Ogata
    • Journal Title

      J. Funct. Anal

      Volume: 264 Pages: 2005-2033

  • [Journal Article] Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics2012

    • Author(s)
      V. Jaksic, Y. Ogata, C.-A. Pillet, R. Seiringer
    • Journal Title

      Rev. Math. Phys

      Volume: 24 Pages: 1230002

  • [Journal Article] A Generalization of Powers-St¥o rmer Inequality2011

    • Author(s)
      Y. Ogata
    • Journal Title

      Lett. Math. Phys

      Volume: 97 Pages: 339-346

  • [Presentation] Hypothesis testing and non-equilibrium statistical mechanics2012

    • Organizer
      Arizona School of Analysis and Mathematical Physics
    • Place of Presentation
      Tucson, Arizona
    • Year and Date
      20120300
  • [Presentation] Non-Equilibrium Statistical Mechanics2012

    • Organizer
      Conference on von Neumann Algebras and Related Topics
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      20120109-0203
  • [Presentation] 量子スピン系における確率解析とその応用2011

    • Organizer
      日本数学会
    • Place of Presentation
      信州大学
    • Year and Date
      20110928-1001
  • [Presentation] Approximating macroscopic observables in quantum spin systems with commuting matrices2011

    • Organizer
      Conference on C*-Algebras and Related Topics
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      20110905-09
  • [Presentation] Approximating macroscopic observables in quantum spin systems with commuting matrices2011

    • Organizer
      Summer school on "Non-equilibrium statistical mechanics"
    • Place of Presentation
      Universite de Montreal Canada
    • Year and Date
      20110701-29

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Published: 2015-06-25  

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