New Development of the Density Matrix Renormalization Group Method based on Quantum Entanglement and Geometrical Phases
| Project/Area Number |
20740214
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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 | Osaka University |
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Principal Investigator |
MARUYAMA Isao 大阪大学, 基礎工学研究科, 特任助教(常勤) (20422339)
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| Project Period (FY) |
2008 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 計算物理 / 物性物理 / 情報基礎 / 幾何学 / 密度行列繰り込み群 / 幾何学的位相 / 量子絡み合い / 密度行列繰りこみ群 |
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| Research Abstract |
The matrix product state(MPS) is used as a variational state in the density matrix renormalization group(DMRG) method. We studied the MPS both numerically and analytically and published the papers that show the importance of the boundary matrix. In the exact solution, we obtained an extension of the MPS from the lattice toward the continuous space.
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Report
(6 results)
Research Products
(56 results)
