Public Research Seminar by Advanced Materials (AMAT) Thrust, HKUST(GZ) - Approaching quantum many-body systems with tensor networks

Based on an entanglement area law, the ground state of quantum many-body system can be faithfully represented and efficiently characterized using tensor networks. The power of this framework stems from the local description where a tensor correlates physical and entanglement degrees of freedom, allowing us to locally impose, probe, and control desired properties. As examples, l will discuss our works of constructing and characterizing both non-chiral and chiral topological spin liquids within this framework. On top of the ground state, tensor networks also allow us to study quasiparticle excitations in many-body systems. in that case, diagrammatic summation would typically arise. I will describe the idea of generating functions to tackle this problem, thereby allowing an efficient calculation of dynamical correlations, which are often observables in condensed matter experiment. Taken together, a better understanding of quantum many-body system in the low-energy regime will be achieved.