Aspects in the non-equilibrium dynamics of integrable quantum systems: quantum quench and exact solutions of the Kondo problem
| Project/Area Number |
15K05204
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Ochanomizu University |
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Principal Investigator |
Deguchi Tetsuo お茶の水女子大学, 基幹研究院, 教授 (70227544)
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| Co-Investigator(Renkei-kenkyūsha) |
SATO JUN 東京大学, 先端科学技術研究センター, 助教 (10735723)
KUDO KAZUE お茶の水女子大学, 基幹研究院, 准教授 (30505574)
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| Project Period (FY) |
2015-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 可積分量子系 / 孤立量子系 / 量子ダイナミクス / ベーテ仮設 / ダークソリトン / 非平衡 / 量子多体系 / 可積分系 / ダイナミクス / 緩和 / 量子クエンチ / １次元ボース気体 / 量子ＸＸＸ鎖 / 量子ハイゼンベルグ鎖 / 局所磁化 / 時間発展 / 非平衡系 |
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| Outline of Final Research Achievements |
Recently, relaxation behaviors of isolated quantum systems were observed in cold atomic experiments. It is conjecture that in non-integrable systems expectation values of localized physical quantities approach values associated with the micro-canonical ensemble (thermalization), while in integrable systems values associated with the generalized Gibbs ensemble. In this research we studied aspects of non-equilibrium dynamics for integrable systems. For the one-dimensional Bose gas (the Lieb-Liniger model), some superposition of one-hole states shows a density profile consistent with a classical dark soliton in the weak coupling case. We call it a quantum dark soliton state. In the one-dimensional Heisenberg model we constructed a quantum state that has a localized magnetization profile, and derived its time evolution with the Bethe ansatz. We have observed that it relaxes very slowly almost proportional to some power of time variable.
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Report
(4 results)
Research Products
(19 results)
