We introduce a new method to compute the Quantum Geometric Tensor, this procedure allows us to compute the Quantum Information Metric and the Berry curvature perturbatively for a theory with an arbitrary interaction Hamiltonian. The calculation uses the generating function method, and it is illustrated with the harmonic oscillator with a linear and a quartic perturbation.
@article{arxiv.1904.01559,
title = {The quantum geometric tensor from generating functions},
author = {J. Alvarez-Jiménez and J. David Vergara},
journal= {arXiv preprint arXiv:1904.01559},
year = {2019}
}