2017 Fiscal Year Final Research Report
Entanglement controle in quantum many-body systems by non-local transfromation and negative sign problem
| Project/Area Number |
26400387
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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) |
2014-04-01 – 2018-03-31
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| Keywords | エンタングルメント / 非局所変換 / 量子モンテカルロ / 共形場理論 |
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| Outline of Final Research Achievements |
The main results of the study are summarized as the following three points. (1)We constructed a generalized Jordan-Wigner transformation disentangling SO(N) bilinear-biquadratic spin chains, which solves the negative sign problem in quantum Monte Carlo. Then, we actually performed quantum Monte Carlo simulations for the sign-free Bose gas model. (2) We proposed a new concept of snapshot density matrix and clarified basic properties of its spectrum, including the power-law scaling behavior. (3) We constructed an exactly solvable free fermion model with the sine-square deformation. We also clarified the relation between the sine-square deformation and Mobius quantization for conformal field theory.
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| Free Research Field |
物性理論
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