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Title: Classification of matrix-product ground states corresponding to one-dimensional chains of two-state sites of nearest neighbor interactions

Abstract

A complete classification is given for one-dimensional chains with nearest-neighbor 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:
; ; ;  [1]
  1. Department of Physics, Alzahra University, Tehran 19938-93973 (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 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GROUND STATES; HAMILTONIANS; INTERACTIONS; MATRICES; ONE-DIMENSIONAL CALCULATIONS; ENERGY LEVELS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS

Citation Formats

Fatollahi, Amir H, Khorrami, Mohammad, Shariati, Ahmad, and Aghamohammadi, Amir. Classification of matrix-product ground states corresponding to one-dimensional chains of two-state 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 matrix-product ground states corresponding to one-dimensional chains of two-state 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 matrix-product ground states corresponding to one-dimensional chains of two-state sites of nearest neighbor interactions". United States. https://doi.org/10.1103/PHYSREVA.83.042108.
@article{osti_21544564,
title = {Classification of matrix-product ground states corresponding to one-dimensional chains of two-state 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 one-dimensional chains with nearest-neighbor 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 = {1050-2947},
number = 4,
volume = 83,
place = {United States},
year = {2011},
month = {4}
}