English

Theory of ground state factorization in quantum cooperative systems

Other Condensed Matter 2008-05-13 v1 High Energy Physics - Theory Mathematical Physics math.MP Quantum Physics

Abstract

We introduce a general analytic approach to the study of factorization points and factorized ground states in quantum cooperative systems. The method allows to determine rigorously existence, location, and exact form of separable ground states in a large variety of, generally non-exactly solvable, spin models belonging to different universality classes. The theory applies to translationally invariant systems, irrespective of spatial dimensionality, and for spin-spin interactions of arbitrary range.

Keywords

Cite

@article{arxiv.0804.0012,
  title  = {Theory of ground state factorization in quantum cooperative systems},
  author = {S. M. Giampaolo and G. Adesso and F. Illuminati},
  journal= {arXiv preprint arXiv:0804.0012},
  year   = {2008}
}

Comments

4 pages, 1 figure

R2 v1 2026-06-21T10:26:16.320Z