| 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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| 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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