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Open Quantum Systems Decoherence
Quantum Simulation
Fermionic Gaussian states: an introduction to numerical approaches
arXiv
Authors: Jacopo Surace, Luca Tagliacozzo
Year
2021
Paper ID
6807
Status
Preprint
Abstract Read
~2 min
Abstract Words
74
Citations
N/A
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.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2021 reference point for readers tracking recent quantum research.
- This document is meant to be a practical introduction to the analytical and numerical manipulation of Fermionic Gaussian systems.
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