2015 Fiscal Year Final Research Report
Classification of quantum critical phenomena based on entanglement
| Project/Area Number |
25400392
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Mathematical physics/Fundamental condensed matter physics
|
|---|
| Research Institution | The University of Tokyo |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2013-04-01 – 2016-03-31
|
| 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 |
|---|
| 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.
|
| Free Research Field |
物性理論・統計力学
|
