2019 Fiscal Year Annual Research Report
Anomaly-based classification of quantum phases in the presence of symmetries
| Project/Area Number |
19J13783
|
|---|
| Research Institution | The University of Tokyo |
|---|
Principal Investigator |
YAO YUAN 東京大学, 理学系研究科, 特別研究員(DC2)
|
|---|
| Project Period (FY) |
2019-04-25 – 2021-03-31
|
| Keywords | Anomaly / symmetries / criticality / ultracold atom |
|---|
| Outline of Annual Research Achievements |
In the year of 2019, the DC researcher YAO YUAN has contributed to the condensed matter physics with the following works.
(1) Strongly-correlated generalized Spin system in ultracold-atomic system: The researcher and his collaborators investigated the ultracold atoms on optical lattices. We find the symmetry-protected critical phases and ingappabilities in the gapped phases of such systems are strongly depending on symmetry anomalies at low energy. The paper has been published on Physical Review Letters: Phys. Rev. Lett. 123, 180201 (2019).
(2) Quantum Hall phases in ultracold-atomic systems: The researcher has investigated the quantum Hall effects on the optical lattices and related the Hall conductance with quantum anomalies.
|
| Current Status of Research Progress |
Current Status of Research Progress
1: Research has progressed more than it was originally planned.
Reason
The researcher has completed finished 2/3 of the whole research project. It has already exceeded the original plan. It is because (1) we have completed the initially planned work on quantum criticality and ingappabilities; (2) the paper has been published in the year of 2019 while we originally planned to complete the publication in the year of 2020. Moreover, the researcher has also done extensive works out of the plan and these works have been summarized into papers, which have been currently accepted for publication or under peer review.
Thus the plan of the year of 2019 has been completed more than expectation.
|
| Strategy for Future Research Activity |
In the year of 2020, the researcher is going to continue the initial JSPS research plan and do the work on the deconfinement criticalities in antiferromagnetic lattices. Moreover, since the plan of the year 2019 was done more than expected, the researcher also plans to do more than the plan in 2020 if the original annual plan is completed. The researcher is going to further investigate higher form symmetries and their implications in strongly-correlated systems with translational symmetries. The result in expectation will be that the critical and gapped phases of such systems strongly depend on the microscopic information, e.g. higher form symmetries and lattice symmetries.
|
