[Talk] Hui-Ke Jin – Efficient tensor network representation for Gutzwiller projected states of paired fermions

Title: Efficient tensor network representation for Gutzwiller projected states of paired fermions

Abstract: Recent work by Y.H. Wu {\em et al}, [arXiv:1910.11011] proposed a numerical method, so called MPO-MPS method, by which several types of quantum many-body wave functions, in particular, the projected Fermi sea state, can be efficiently represented as a tensor network. In this paper, we generalize the MPO-MPS method to study Gutzwiller projected paired states of fermions, where the maximally localized Wannier orbitals for Bogoliubov quasiholes/quasiparticles have been adapted to improve the computational performance. The study of $SO(3)$ spin-1 chains reveals that this new method has better performance than variational Monte Carlo for gapped states and similar performance for gapless states. Moreover, we demonstrate that dynamic correlation functions can be easily evaluated by this method cooperating with other MPS-based accurate approaches, such as Chebyshev MPS method.