| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
In order to characterize the various quantum states in quantum spin systems and the novel quantum phase transitions between these quantum phases, we have developed various numerical methods based on quantum Monte Carlo and tensor network methods. Although the quantities characterizing the topological order have been studied mainly for one-dimensional quantum systems, precise and efficient measurements are now possible for higher-dimensional systems. Using the developed method, we carried out large-scale simulations to analyze the phase transition of the topological phase field. We have also developed and released software based on the new algorithm.
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