Quick Navigation
Topics
Quantum Algorithms
Explicit matrix representation for the Hamiltonian of the one dimensional \mbox{spin 1/2} Ising model in mutually orthogonal external magnetic fields
arXiv
Authors: Kunle Adegoke, Henry Otobrise, Tolulope Famoroti, Adenike Olatinwo, Afees Tiamiyu, Funmi Akintujoye
Year
2015
Paper ID
27559
Status
Preprint
Abstract Read
~2 min
Abstract Words
69
Citations
N/A
Abstract
We derive an explicit matrix representation for the Hamiltonian of the Ising model in mutually orthogonal external magnetic fields, using as basis the eigenstates of a system of non-interacting \mbox{spin 1/2} particles in external magnetic fields. We subsequently apply our results to obtain an analytical expression for the ground state energy per spin, to the fourth order in the exchange integral, for the Ising model in perpendicular external fields.
Why This Paper Matters
- It adds a 2015 reference point for readers tracking recent quantum research.
- We derive an explicit matrix representation for the Hamiltonian of the Ising model in mutually orthogonal external magnetic fields, using as basis the eigenstates of a system...
Paper Tools
Become a member to use research tools
Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.
Show Paper arXiv Publisher Share
Cite This Paper
Copy URL
Compare
Copy DOI Add to Reading List
Category Correction Request
Category Correction Request
Help us improve classification quality by proposing a better category. Every request is reviewed by an admin.
Sign in to submit a category correction request for this paper.
Log In to SubmitReferences & Citation Signals
Community Reactions
Quick sentiment from readers on this paper.
Score:
0
Likes: 0
Dislikes: 0
Sign in to react to this paper.
Discussion & Reviews (Moderated)
Average Rating: 0.0 / 5 (0 ratings)
No written reviews yet.