Fermionic Gaussian states: an introduction to numerical approaches
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 f...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SciPost
2022-05-01
|
| Series: | SciPost Physics Lecture Notes |
| Online Access: | https://scipost.org/SciPostPhysLectNotes.54 |
| _version_ | 1811233934850129920 |
|---|---|
| author | Jacopo Surace, Luca Tagliacozzo |
| author_facet | Jacopo Surace, Luca Tagliacozzo |
| author_sort | Jacopo Surace, Luca Tagliacozzo |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T11:28:26Z |
| format | Article |
| id | doaj.art-2b31b9b7a401439ba550c63716f4406f |
| institution | Directory Open Access Journal |
| issn | 2590-1990 |
| language | English |
| last_indexed | 2024-04-12T11:28:26Z |
| publishDate | 2022-05-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Lecture Notes |
| spelling | doaj.art-2b31b9b7a401439ba550c63716f4406f2022-12-22T03:35:06ZengSciPostSciPost Physics Lecture Notes2590-19902022-05-015410.21468/SciPostPhysLectNotes.54Fermionic Gaussian states: an introduction to numerical approachesJacopo Surace, Luca TagliacozzoThis 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.https://scipost.org/SciPostPhysLectNotes.54 |
| spellingShingle | Jacopo Surace, Luca Tagliacozzo Fermionic Gaussian states: an introduction to numerical approaches SciPost Physics Lecture Notes |
| title | Fermionic Gaussian states: an introduction to numerical approaches |
| title_full | Fermionic Gaussian states: an introduction to numerical approaches |
| title_fullStr | Fermionic Gaussian states: an introduction to numerical approaches |
| title_full_unstemmed | Fermionic Gaussian states: an introduction to numerical approaches |
| title_short | Fermionic Gaussian states: an introduction to numerical approaches |
| title_sort | fermionic gaussian states an introduction to numerical approaches |
| url | https://scipost.org/SciPostPhysLectNotes.54 |
| work_keys_str_mv | AT jacoposuracelucatagliacozzo fermionicgaussianstatesanintroductiontonumericalapproaches |