Variational Tensor Network Operator
Journal
Phys. Rev. Research 4, 043153 (2022)
Journal Volume
4
Journal Issue
4
Date Issued
2022-07-05
Author(s)
Abstract
We propose a simple and generic construction of the variational tensor
network operators to study the quantum spin systems by the synergy of ideas
from the imaginary-time evolution and variational optimization of trial wave
functions. By applying these operators to simple initial states, accurate
variational ground state wave functions with extremely few parameters can be
obtained. Furthermore, the framework can be applied to study spontaneously
symmetry breaking, symmetry protected topological, and intrinsic topologically
ordered phases, and we show that symmetries of the local tensors associated
with these phases can emerge directly after the optimization without any gauge
fixing. This provides a universal way to identify quantum phase transitions
without prior knowledge of the system.
Subjects
Physics - Strongly Correlated Electrons; Physics - Strongly Correlated Electrons; High Energy Physics - Lattice
Description
16 pages, 12 figures
Type
journal article