| Budget Amount *help |
¥17,160,000 (Direct Cost: ¥13,200,000、Indirect Cost: ¥3,960,000)
Fiscal Year 2023: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
Fiscal Year 2022: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
Fiscal Year 2021: ¥5,720,000 (Direct Cost: ¥4,400,000、Indirect Cost: ¥1,320,000)
Fiscal Year 2020: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
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| Outline of Final Research Achievements |
This research topic concerns the geometric properties of quantum states, that describe how quantum states change in a parameter space. Through this study, previously unknown physical meanings of geometric properties, such as quantum metric and quantum geometric tensor, have been successfully elucidated. The main achievements are the following three points. 1. I have shown that quantum metric defined in many-body quantum systems can capture many-body localization. 2. I have successfully investigated the relationship between quantum metric and topology from the perspective of holomorphicity of quantum states. 3. I have discovered physical consequences of certain geometric properties of non-Hermitian systems, particularly the non-Hermitian Aharonov-Bohm effect.
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