Speaker
Description
We explain how periodic uniform matrix product states (puMPS) can be used to extract universal data of critical quantum spin chains. We show that puMPS and puMPS Bloch states accurately capture the ground state and low-energy excited states of critical quantum spin chains up to several hundreds of spins. This enables us to extract (i) scaling dimensions, conformal spins of scaling operators, (ii) spectral renormalization group flows between CFTs, (iii) lattice realizations of scaling operators, and operator product expansion coefficients, (iv) emergent symmetries such as superconformal symmetry, and (v) universal tripartite entanglement of the ground state, including entanglement of purification and reflected entropy. We give examples how each of these is achieved and discuss potential applications to open problems.
In collaboration with Ash Milsted, Mike Zaletel, Guifre Vidal
