class: center, middle # Dynamical quantum phase transitions in \\( U(1) \\) quantum link models .pull-right[  ] ## .red[Yi-Ping Huang , 2019] --- layout:inverse .left-column[## Outline] .right-column[ 1. Introduction: Why quantum link models? - Gauge symmetry : emergent v.s. fundamental - Fundamental forces - Effective theory for highly entangled quantum matter 2. Thee quantum link models 3. Quench dynamics 4. Dynamical quantum phase transitions 5. TEBD and Exact diagonalization 6. What we have learned... ] --- # Why quantum link models? --- # Quench dynamics --- # Dynamical quantum phase transitions --- # TEBD --- # Lanczos based exact diagonalization