2022 Fiscal Year Final Research Report
Universality of thermalization dynamics in cold atomic gases
| Project/Area Number |
19K14628
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| Research Category |
Grant-in-Aid for Early-Career Scientists
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| Allocation Type | Multi-year Fund |
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| Review Section |
Basic Section 13020:Semiconductors, optical properties of condensed matter and atomic physics-related
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| Research Institution | Tokyo Institute of Technology (2022)
Nagoya University (2019-2021) |
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Principal Investigator |
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| Project Period (FY) |
2019-04-01 – 2023-03-31
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| Keywords | 動的スケーリング則 / 界面成長 / ボース・アインシュタイン凝縮体 |
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| Outline of Final Research Achievements |
I have theoretically studied relaxation dynamics in ultracold atoms described by quantum mechanics, and have studied universal properties behind quantum dynamics. The keyword in this research proposal is a dynamical scaling law. When studying time-dependent correlation functions in quantum dynamics, dynamical scaling laws often emerge and have fundamental information concerning universal aspects of the dynamics. During the four-year study period, I have numerically and analytically investigated dynamical scaling laws for surface-growth dynamics in one-dimensional quantum systems, domain growth in multi-component Bose-Einstein condensates, etc. In particular, in the study of surface-growth dynamics, I introduced a surface-height operator by employing a relation between classical surface-growth model and one-dimensional fluctuating hydrodynamics. Then I obtained pioneering results for the surface-roughness growth in one-dimensional quantum systems.
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| Free Research Field |
冷却原子系、統計物理
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| Academic Significance and Societal Importance of the Research Achievements |
時間とともに変化する非平衡現象は、これまで多くの研究が行われており、いまなお新しい発見がある。とりわけ、量子力学で記述される系の非平衡現象を理解することは、現代物理学における難問の一つと認識されており、その解明は基礎科学、工学的な応用の両視点から極めて重要である。本研究課題では、冷却原子系の実験を想定した理論モデルを用いて、量子ダイナミクスに現れる動的スケーリング則の普遍性の一端を理論的に発見できた点に学術的な意義がある。本研究は理論的な結果が中心であったが、本成果が量子ダイナミクスの理解を深めるための今後の実験検証の一つの足がかりになると期待される。
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