Efficient conversion from fermionic Gaussian states to matrix product states

by Tong Liu (Institute of Physics, Chinese Academy of Sciences)

Tuesday 19 Nov 2024, 13:30 → 14:00 Europe/Berlin

Projected Gaussian states and tensor network states are two popular Ansätze in the study of strongly correlated systems. It is natural to explore if projected Gaussian states and tensor networks can be combined to harness their advantages. In this seminar, I will introduce a highly efficient algorithm which can convert fermionic Gaussian states to matrix product states (MPSs). I will demonstrate our method using two chiral spin liquids, which have the same topological orders as the bosonic Laughlin and Moore-Read states, respectively. As the MPSs are constructed on infinite cylinder, we can use the block structure of non-injective iMPS to derive their anyon eigenbases. As a further application, we apply the method to model wave functions of SU(n)_k chiral spin liquids constructed from conformal field theories. We demonstrate that these states can be rewritten as projected Gaussian states and converted into MPSs using our method, which allow us to characterize their topological order through the entanglement spectrum.

Zoom Meeting
https://desy.zoom.us/j/64303953515

Meeting-ID: 643 0395 3515
Kenncode: 417643