Theoretical study of high dimensional physical phenomena in ultracold atomic gases

2019 Fiscal Year Final Research Report

• Project/Area Number: 19K21042
• Project/Area Number (Other): 18H05857 (2018)
• Research Category: Grant-in-Aid for Research Activity Start-up
• Allocation Type: Multi-year Fund (2019); Single-year Grants (2018)
• Review Section: 0202:Condensed matter physics, plasma science, nuclear engineering, earth resources engineering, energy engineering, and related fields
• Research Institution: Institute of Physical and Chemical Research
• Principal Investigator: Ozawa Tomoki 国立研究開発法人理化学研究所, 数理創造プログラム, 客員研究員 (80825993)
• Project Period (FY): 2018-08-24 – 2020-03-31
• Keywords: 冷却原子系 / 人工次元 / 人工量子系

Outline of Final Research Achievements

I proposed a new method to realize synthetic dimensions. In this proposal, I showed that electrons in a mesoscopic ring coupled to a nanomagnet are equivalent to charged particles in a two dimensional plane with a magnetic field. I also showed that related topological edge states can be observable as a persistent current through the ring. I also proposed, in ultracolod atomic setups, a method to measure topological and geometrical properties in many-body and disordered systems. I also pointed out that many-body geometric structure is related to localization of quantum states. I also wrote a review on synthetic dimensions. Finally, I also had collaborations with experimentalists, in which we measured topological and geometrical properties of quantum states in exciton-polaritons and diamond NV centers.

Free Research Field

凝縮系理論

Academic Significance and Societal Importance of the Research Achievements

低次元系で高次元物性を調べる人工次元の方法は、凝縮系物理の適用範囲を格段に広げ、凝縮系物理が今後切り拓くべき新たな地平を与える。本研究では、冷却原子を中心に研究されてきた人工次元をメゾスコピック系という電子系に適用範囲を広げることに成功している。電子系という凝縮系物理のメインテーマに人工次元を導入することで、今後より多くの研究者が人工次元に参入する下地を与えることができたのではないかと考えている。また、人工次元に関する初めての包括的総説を書いたが、これによってより多くの研究者が人工次元研究に参入する障壁を低くすることに貢献できたのではないかとも考えている。