Quantum entanglement meets symmetries and defects

Quantum entanglement, symmetries and defects are captivating topics in quantum physics and quantum information science, where analytical methods enabling exact solutions along with robust numerical techniques can be employed to address a range of interesting problems. In this talk, I will illustrate two examples which connect these three interesting subjects. The first example concerns the symmetry resolution of quantum entanglement, which captures the refined structure of entanglement in quantum systems with global symmetries. In particular, I will briefly describe a computational framework suitable for tracking the dynamical evolution of symmetry resolved entanglement and symmetry charge full-counting statistics in symmetry-preserving out-of-equilibrium settings. The second example concerns topological defects in quantum systems, which play interesting and important roles in the construction of physical quantities with long lifetimes.