Study of strongly correlated topological phases with quantum entanglement
| Project/Area Number |
24540402
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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 | Kyoto University |
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Principal Investigator |
TOTSUKA Keisuke 京都大学, 基礎物理学研究所, 准教授 (80291079)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | トポロジカル相 / スピン液体 / エンタングルメント / 冷却原子気体 / 磁化プラトー / 国際研究者交流（フランス） / 冷却原子系 / ストリングオーダーパラメータ / トポロジカル秩序 / 強相関 |
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| Outline of Final Research Achievements |
On the basis of complex approaches using matrix-product states, low-dimensional quantum field theories, and numerical simulations, we studied the ground states of various strongly correlated one-dimensional systems. In particular, we investigated and characterized the so-called symmetry-protected topological (SPT) phases realized in a system of ultra-cold alkaline-earth fermions by entanglement spectrum. We also demonstrated the use of non-local order parameters in these phases that defy the characterization with the conventional order parameters. Moreover, we showed that these SPT phases (SPT magnetization plateaus) exist in one-dimensional magnets under high magnetic fields.
In high magnetic fields, not only SPT phases but also genuine topological ones with fractionalized excitations are allowed to exist. In order to present a microscopic example, we considered the three magnetization plateaus in a two-dimensional magnet on the Kagome lattice using quantum Monte-Carlo methods.
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Report
(4 results)
Research Products
(17 results)
