In this talk, I will talk about my current study and the future directions that I am interested to explore, which include: (1) topological phases in cold atom, (2) spin liquid phases in frustrated magnets, (3) strongly interacting conformal field theory, (4) no equilibrium dynamics. Specifically, I will elaborate on several topics that I plan to work on in the near future: (1) cold atom realization and detection of symmetry protected topological phases,
(2) effect of charge fluctuation in the spin liquid phases, (3) entanglement properties of 3D CFT.