Condensed Matter Theory Seminar | June 18, 14:00
Extracting symmetries from tensor network states
Given a matrix product state or a projected entangled pair state, how can one extract what exact or approximate symmetries it has? In this talk, I will answer this question partially by giving an algorithm to extract conserved charges that generate the internal continuous symmetries of the given tensor network state. Specifically, we applied this algorithm to 1D critical quantum spin chains and obtained the emergent lattice Kac-Moody generators. It can also be viewed as a way to find the local integrals of motion of an integrable model and the local parent Hamiltonian that can be potentially non-frustration-free. We also generalized this algorithm to 2D and found a local Hamiltonian that approximately has the RVB state to be its ground state.
[1] Mingru Yang, Bram Vanhecke, and Norbert Schuch, Phys. Rev. Lett. 131, 036505 (2023).
[2] Wen-Tao Xu, Miguel Frías Pérez, and Mingru Yang*, in preparation.
MPQ
0.01
Contact: Simon Trebst