| Project/Area Number |
25400392
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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 | The University of Tokyo |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
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| Keywords | 量子多体系におけるエンタングルメント / 量子反強磁性体 / エンタングルメント・スペクトル / 朝永・ラッティンジャー流体 / 場の理論 / 量子異常 / 相の分類 / 対称性による保護 / エンタングルメント / トポロジカル相 / 量子スピン系 / 量子ホール状態 / 国際研究者交流 / 量子エンタングルメント / 朝永・ラッティンジャー液体 / バレンス・ボンド / 国際情報交換 アメリカ合衆国 / 国際研究者交流 フランス |
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| Outline of Final Research Achievements |
Stimulated by the recent substantial progress in the classification of gapped topological phases, we proposed and formulated several novel concepts for classification of gapless quantum critical phases, which is a major open problem. For example, we found that the valence-bond distribution in the ground state of a quantum antiferromagnet follows a universal scaling which reflects the nature of the ground state. Moreover, we obtained the entanglement spectrum between two coupled Tomonaga-Luttinger liquids. In particular, when the gap is partially opened by the interchain interaction, the entanglement spectrum exhibits a peculiar dispersion relation in which the entanglement energy is proportional to the square root of the momentum along the chain. In both cases, analytical prediction was confirmed by numerical calculations.
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