2011 Fiscal Year Final Research Report
Study of two-dimensional quantum many-body systems by an advanced algorithm of the density-matrix renormalization group method
| Project/Area Number |
21740277
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Gunma University (2011)
Hokkaido University (2009-2010) |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2011
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| Keywords | 密度行列繰り込み群法 / 量子スピン系 / 強相関電子系 / フラストレーション / 数値計算手法 / エンタングルメント |
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| Research Abstract |
We study numerical methods to realize high-precision calculations of low-dimensional frustrated quantum many-body systems. We particularly focus on entanglement, which is an indicator of complexity of quantum states and governs the efficiency of the numerical approaches to quantum systems. We show that scaling properties and spatial profiles of entanglement can be controlled by applying an energy-scale deformation to the model Hamiltonian. Appearance of novel quantum phases in low-dimensional frustrated spin systems is also predicted.
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