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Dynamics of quantum composite systems with initial correlations -- Exact treatment --

Research Project

Project/Area Number 24740260
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionOchanomizu University

Principal Investigator

KITAJIMA Sachiko  お茶の水女子大学, 大学院人間文化創成科学研究科, 准教授 (70334571)

Research Collaborator SHIBATA Fumiaki  お茶の水女子大学, 名誉教授 (20011702)
BAN Masashi  お茶の水女子大学, 大学院人間文化創成科学研究科, 教授 (50416955)
Project Period (FY) 2012-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥260,000 (Direct Cost: ¥200,000、Indirect Cost: ¥60,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywordsディコヒーレンス / エンタングルメント / 初期相関
Research Abstract

Time evolution of quantum composite systems interacting with environments is studied taking into account initial correlations. Explicitly, we treat the Jaynes-Cummings model and a two-spin model as the relevant quantum composite system. The environment is composed of a set of harmonic oscillators. An initial state of the whole system is considered to be an at most single excitation state. The time evolution of the whole system is exactly solved to give non-equilibrium dynamics of the quantum coherence, entanglement and non-Markovian properties. We also study time evolution of the system with the initial correlation originating from initial preparation effect due to measurement of the quantum state.

Report

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

    (6 results)

All 2014 2013 Other

All Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (5 results)

  • [Journal Article] A solvable dissipative Jaynes-Cummings model with initial correlation2013

    • Author(s)
      Sachiko Kitajima, Masashi Ban and Fumiaki Shibata
    • Journal Title

      J. Phys. B : At. Mol. Opt. Phys.

      Volume: 46 Issue: 22 Pages: 224004-224004

    • DOI

      10.1088/0953-4075/46/22/224004

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Presentation] 2スピン系の非平衡ダイナミクス-初期相関の効果-2014

    • Author(s)
      北島佐知子、番雅司、柴田文明
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学(accepted)
    • Related Report
      2013 Final Research Report
  • [Presentation] 初期相関効果を取り入れた量子マスター方程式の展開公式とその応用2014

    • Author(s)
      番雅司、北島佐知子、柴田文明
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学(accepted)
    • Related Report
      2013 Final Research Report
  • [Presentation] 量子開放系における初期相関効果汎関数法と量子マスター方程式の方法2013

    • Author(s)
      北島佐知子、番雅司、柴田文明
    • Organizer
      日本物理学会2013年秋季大会
    • Place of Presentation
      徳島大学
    • Year and Date
      2013-09-25
    • Related Report
      2013 Final Research Report
  • [Presentation] 散逸のあるJaynes-Cummings模型の厳密な扱いIII2013

    • Author(s)
      北島佐知子、番雅司、柴田文明
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-28
    • Related Report
      2013 Final Research Report
  • [Presentation] 散逸のあるJaynes-Cummings模型の厳密な扱いIII

    • Author(s)
      北島佐知子、番雅司、柴田文明
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島県、広島大学東広島キャンパス
    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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