The discovery of materials with novel properties is one of the most fascinating aspects of physics. Topological quantum materials represent a new classs of novel materials recently discovered and intensively investigated, with both exotic physical phenomena and novel application potentials originated from their unique electronic structures.
In this talk, I will show that how advanced angle resolved photoemission spectroscopy (ARPES) with high energy, momentum, and time resolution can be used to directly visualize non-trivial electronic structures and unusual dynamics in different topological materials, such as topological insulators, Dirac, Weyl and line-node semimetals, as well as other low dimensional topological quantum materials. The detailed electronic structures revealed by ARPES will not only help us understand the exotic properties of these unusual materials, but also guide the design of their potential applications. In addition, I will use a few examples to show that the high efficiency of current ARPES have started making it possible to monitor the change of electronic structures of materials under investigation with various in-situ influence, thus providing us an effective method to manipulate the topological electronic structures and observe their evolution in real time.