Year: 2022
Type: article
Abstract: 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.
Source: SciPost Physics Lecture Notes
Authors: Jacopo Surace, Luca Tagliacozzo
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: G1114359864, G1175115578, G1622782223, G210041235, G2262748287, G2601397997, G2713276326, G300979063, G34346518, G3480869486, G3589210170, G3681454997, G3775377788, G3780874795, G4042783231, G410571670, G4187200977, G425668148, G4317403835, G451917667, G5080475149, G5195188938, G5539308778, G5678170021, G5915139351, G5967599077, G6731467812, G7084143925, G7432012110, G8477463087, G929308097
OpenAlex ID: W3211718983