Quantum entanglement for tensor product states and numerical renormalization groups
| Project/Area Number |
23540442
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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 | Niigata University |
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Principal Investigator |
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2011: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | テンソル積 / くりこみ群 / エンタングルメント / テンソル積状態 / 数値くりこみ群 / 密度行列 |
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| Research Abstract |
Recently, the numerical renormalization group based on the tensor product state plays a fundamental role in analyzing the ground state of the quantum many body system.We firstly clalified that the key mechanizm of the Wilon-type renromalization group is in the scale free property of the energy scale. We next found out that the fixed point structure of the higher order tensor renormalization group can be explained by doubling of the corner transfer matrix in the off critical region. We also clarified that this result is basically universal for both of the one-dimensional quantum system and two dimensional classical systems.
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Report
(4 results)
Research Products
(23 results)
