Level repulsion in integrable and almost-integrable quantum spin models

Details Level repulsion in integrable and almost-integrable quantum spin models Level repulsion in integrable and almost-integrable quantum spin models

1992-11-04

arxiv.org/abs/cond-mat/9211004v1

Physics

Condensed Matter

15 pages + 7 figures, REVTEX

Scientific paper

10.1103/PhysRevB.47.14291

The repartition of the separation between energy levels of various isotropic S=1/2 antiferromagnetic chains is studied numerically with the aim of investigating the transition from integrable to non-integrable systems. We begin by displaying the level separation distribution of the integrable Bethe chain. Then two non-integrable systems, two coupled chains and a next-nearest-neighbor coupled chain, are studied as a function of the coupling. We examine how the level spacing evolves from the Poisson distribution to the GOE distribution. Finally we consider the Haldane-Shastry $1/r^{2}$ model. A number of conclusions regarding the behaviour and relevance of the level spacing distribution in these spin systems is drawn.

Affiliated with

Also associated with

No associations

Rating

Level repulsion in integrable and almost-integrable quantum spin models 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 Level repulsion in integrable and almost-integrable quantum spin models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Level repulsion in integrable and almost-integrable quantum spin models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-695247