Study on quantum entanglement and emergent degrees of freedom in strongly-correlated topological phases

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K05211
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Kyoto University
• Principal Investigator: Totsuka Keisuke 京都大学, 基礎物理学研究所, 准教授 (80291079)
• Research Collaborator: Alet F. Toulouse University ; Bois V. Cergy-Pontoise University ; Capponi Sylvain Toulouse University ; DANSHITA Ippei 京都大学, 基礎物理学研究所 ; Fromholz P. Cergy-Pontoise University ; IMAMURA Yukihisa 京都大学, 基礎物理学研究所 ; Lecheminant Philippe Cergy-Pontoise University ; Plat X. Toulouse University ; TAKAYOSHI Shintaro 物質材料研究機構 ; TANAKA Akihiro 物質材料研究機構 ; TANAKA Shu 京都大学, 基礎物理学研究所
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: トポロジカル相 / 冷却原子気体 / エンタングルメント / SU(N)対称性 / 分数量子ホール効果

Outline of Final Research Achievements

We have summarized the outcome of the Japanese-French collaboration on SU(N) cold fermion systems in these several years in a review article published in Annals of Physics. Also in July of 2016, the Japanese-French team organized a small project-oriented workshop on SU(N) magnetism and started many projects. In 2017, they proposed a realistic way of realizing a new type of symmetry-protected topological (SPT) phases that spontaneously break inversion symmetry in a double-well optical lattice. Together with Takumi Ohta, who is a former student, we investigated dynamical properties of order parameters and entanglement in fermionic SPT phases characterized by emergent Majorana edge modes. Concerning the coupled-wire construction (CWC) of 2,3D topological phases, Immaura and Totsuka succeeded in showing the Chern-Simons gauge theory is correctly reproduced in CWC. They also provided a recipe of constructing generic 2D Abelian topological phases using CWC.

Free Research Field

量子磁性、強相関電子系