The Bethe ansatz as a matrix product ansatz

Details The Bethe ansatz as a matrix product ansatz The Bethe ansatz as a matrix product ansatz

2003-04-07

arxiv.org/abs/cond-mat/0304170v1

J.Phys. A37 (2004) L1-L7

Physics

Condensed Matter

Statistical Mechanics

4 pages and no figures

Scientific paper

10.1088/0305-4470/37/1/L01

The Bethe ansatz in its several formulations is the common tool for the exact solution of one dimensional quantum Hamiltonians. This ansatz asserts that the several eigenfunctions of the Hamiltonians are given in terms of a sum of permutations of plane waves. We present results that induce us to expect that, alternatively, the eigenfunctions of all the exact integrable quantum chains can also be expressed by a matrix product ansatz. In this ansatz the several components of the eigenfunctions are obtained through the algebraic properties of properly defined matrices. This ansatz allows an unified formulation of several exact integrable Hamiltonians. We show how to formulate this ansatz for a huge family of quantum chains like the anisotropic Heisenberg model, Fateev-Zamolodchikov model, Izergin-Korepin model, $t-J$ model, Hubbard model, etc.

Affiliated with

Also associated with

No associations

Rating

The Bethe ansatz as a matrix product ansatz does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Bethe ansatz as a matrix product ansatz, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Bethe ansatz as a matrix product ansatz will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-603696