Fermionic Gaussian states: an introduction to numerical approaches
Jacopo Surace, Luca Tagliacozzo
SciPost Phys. Lect. Notes 54 (2022) · published 16 May 2022
- doi: 10.21468/SciPostPhysLectNotes.54
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.
Cited by 3
Starchl et al., Relaxation to a Parity-Time Symmetric Generalized Gibbs Ensemble after a Quantum Quench in a Driven-Dissipative Kitaev Chain
Phys. Rev. Lett. 129, 220602 (2022) [Crossref]
Matos et al., Characterization of variational quantum algorithms using free fermions
Quantum 7, 966 966 (2023) [Crossref]
Kaicher et al., Mean-field treatment of the long-range transverse field Ising model with fermionic Gaussian states
Phys. Rev. B 107, 165144 (2023) [Crossref]
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]
Funders for the research work leading to this publication