The usefulness of restrictions for variational ground state lower bounds of a simple quantum spin lattice

Joel H. Sebold, Jerome Percus

Research output: Contribution to journalArticle

Abstract

We utilize reduced density matrices and restrictions upon them to obtain variational lower bounds to the ground state energy of the transverse Ising model. A systematic use of restrictions on a cluster representation (like 3 or 4 sites) of the system in 1, 2, and infinite dimensions, shows that a small class of conditions is sufficient to yield good results for little effort. The technique is analytically straightforward, and is clearly a promising direction to go for ground state energy bounds of quantum lattices with short range interactions.

Original languageEnglish (US)
Pages (from-to)907-921
Number of pages15
JournalMolecular Physics
Volume86
Issue number4
DOIs
StatePublished - 1995

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Ground state
constrictions
Ising model
ground state
Crystal lattices
energy
interactions
Direction compound

ASJC Scopus subject areas

  • Biophysics
  • Molecular Biology
  • Physical and Theoretical Chemistry
  • Condensed Matter Physics

Cite this

The usefulness of restrictions for variational ground state lower bounds of a simple quantum spin lattice. / Sebold, Joel H.; Percus, Jerome.

In: Molecular Physics, Vol. 86, No. 4, 1995, p. 907-921.

Research output: Contribution to journalArticle

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