2017 Fiscal Year Final Research Report
Information-theoretic aspects of steady states in isolated quantum systems
| Project/Area Number |
16H06718
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | The University of Tokyo |
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Principal Investigator |
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| Project Period (FY) |
2016-08-26 – 2018-03-31
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| Keywords | 統計力学 / 量子情報 |
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| Outline of Final Research Achievements |
I have mainly studied time evolution of two isolated quantum subsystems that are created by coherently splitting a single quantum system. In particular, I have investigated the mechanism of "entanglement prethermalization", which occurs when the quantum entanglement between the subsystems prevents the total system from reaching the thermal equilibrium. I have studied two models, the interacting two harmonic oscillators and the Tomonaga-Luttinger model, and identified the statistical-mechanical ensemble which describes the quasi-stationary state after entanglement prethermalizaiton. The ensemble has turned out to be the generalized Gibbs ensemble, where the nonlocal conserved quantities acting on both subsystems are taken into consideration.
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| Free Research Field |
統計力学
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