Classification of matrixproduct ground states corresponding to onedimensional chains of twostate sites of nearest neighbor interactions
Abstract
A complete classification is given for onedimensional chains with nearestneighbor interactions having two states in each site, for which a matrix product ground state exists. The Hamiltonians and their corresponding matrix product ground states are explicitly obtained.
 Authors:

 Department of Physics, Alzahra University, Tehran 1993893973 (Iran, Islamic Republic of)
 Publication Date:
 OSTI Identifier:
 21544564
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. A
 Additional Journal Information:
 Journal Volume: 83; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.83.042108; (c) 2011 American Institute of Physics; Journal ID: ISSN 10502947
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GROUND STATES; HAMILTONIANS; INTERACTIONS; MATRICES; ONEDIMENSIONAL CALCULATIONS; ENERGY LEVELS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS
Citation Formats
Fatollahi, Amir H, Khorrami, Mohammad, Shariati, Ahmad, and Aghamohammadi, Amir. Classification of matrixproduct ground states corresponding to onedimensional chains of twostate sites of nearest neighbor interactions. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVA.83.042108.
Fatollahi, Amir H, Khorrami, Mohammad, Shariati, Ahmad, & Aghamohammadi, Amir. Classification of matrixproduct ground states corresponding to onedimensional chains of twostate sites of nearest neighbor interactions. United States. https://doi.org/10.1103/PHYSREVA.83.042108
Fatollahi, Amir H, Khorrami, Mohammad, Shariati, Ahmad, and Aghamohammadi, Amir. Fri .
"Classification of matrixproduct ground states corresponding to onedimensional chains of twostate sites of nearest neighbor interactions". United States. https://doi.org/10.1103/PHYSREVA.83.042108.
@article{osti_21544564,
title = {Classification of matrixproduct ground states corresponding to onedimensional chains of twostate sites of nearest neighbor interactions},
author = {Fatollahi, Amir H and Khorrami, Mohammad and Shariati, Ahmad and Aghamohammadi, Amir},
abstractNote = {A complete classification is given for onedimensional chains with nearestneighbor interactions having two states in each site, for which a matrix product ground state exists. The Hamiltonians and their corresponding matrix product ground states are explicitly obtained.},
doi = {10.1103/PHYSREVA.83.042108},
url = {https://www.osti.gov/biblio/21544564},
journal = {Physical Review. A},
issn = {10502947},
number = 4,
volume = 83,
place = {United States},
year = {2011},
month = {4}
}
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