|Budget Amount *help
¥18,720,000 (Direct Cost: ¥14,400,000、Indirect Cost: ¥4,320,000)
Fiscal Year 2020: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
Fiscal Year 2019: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
Fiscal Year 2018: ¥5,590,000 (Direct Cost: ¥4,300,000、Indirect Cost: ¥1,290,000)
Fiscal Year 2017: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
|Outline of Final Research Achievements
Analyzing the mathematical structure of the entanglement Hamiltonian for the quantum spin systems, we proposed the lattice Unruh effect, which is a quantum spin system version of the Unruh effect for the quantum gravity. We also clarified phase transitions of regular polygon models and 6-state clock models, using high precision corner-transfer-matrix renormalization groups combined with the CFT analysis of the entanglement Hamiltonian. In addition, we have formulated new tensor network algorithms for random quantum spin systems.