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 |
Section | 一般 |
Research Field |
Mathematical physics/Fundamental condensed matter physics
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Research Institution | Niigata University |
Principal Investigator |
|
Project Period (FY) |
2014-04-01 – 2018-03-31
|
Project Status |
Completed (Fiscal Year 2017)
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Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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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 / 量子エンタングルメント / 負符号問題 / 縮約密度行列 / 変形問題 |
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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Report
(5 results)
Research Products
(22 results)