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...
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| Format: | Article |
| Language: | English |
| Published: |
SciPost
2022-05-01
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| Series: | SciPost Physics Lecture Notes |
| Online Access: | https://scipost.org/SciPostPhysLectNotes.54 |
| Summary: | 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. |
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| ISSN: | 2590-1990 |