This document is meant to be a practical introduction to the analytical and numerical manipulation of Fermionic Gaussian systems. Starting from the basics, we move to relevant modern results and techniques, presenting numerical examples and studying relevant Hamiltonians, such as the transverse field Ising Hamiltonian, in detail. We finish introducing novel algorithms connecting Fermionic Guassian states with matrix product states techniques. All the numerical examples make use of the free Julia package F_utilities.
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 Institut de Ciències Fotòniques / Institute of Photonic Sciences [ICFO]
- 2 Institut de Ciènces del Cosmos / Institute of Cosmos Sciences, University of Barcelona [ICCUB]