2013 Fiscal Year Final Research Report
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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| Keywords | テンソル積 / くりこみ群 / エンタングルメント |
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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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Research Products
(14 results)
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[Journal Article] Fine-Tuning of Magnetic Interactions in Organic Spin Ladders2014
Author(s)
Hironori Yamaguchi, Hirotsugu Miyagai, Tokuro Shimokawa, Kenji Iwase, Toshio Ono, Yohei Kono, Naoki Kase, Koji Araki, Shunichiro Kittaka, Toshiro Sakakibara, Takashi Kawakami, Kouichi Okunishi, Yuko Hosokoshi
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Journal Title
J. Phys. Soc. Jpn
Volume: 83
Pages: 033707
DOI
Peer Reviewed
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