| Budget Amount *help |
¥13,000,000 (Direct Cost: ¥10,000,000、Indirect Cost: ¥3,000,000)
Fiscal Year 2016: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2015: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2014: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
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| Outline of Final Research Achievements |
We generalized the TPQ formulation, which is a new formulation of statistical mechanics based on a pure quantum state, to systems with an infinite-dimensional Hilbert space. We also generalized it to the case corresponding to the grand-canonical ensemble, and applied it to the Hubbard model at finite temperature. Furthermore, we studied entanglement of the TPQ states, and clarified great differences from that of the Gibbs states. Moreover, we constructed TPQ states that fluctuate as a function of time, and found that the fluctuation-dissipation theorem is partially violated in macroscopic quantum systems. We also reformulated the linear response theory using the TPQ formulation.
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