Valence bond ground states in quantum antiferromagnets and quadratic algebras

Details Valence bond ground states in quantum antiferromagnets and quadratic algebras Valence bond ground states in quantum antiferromagnets and quadratic algebras

2000-04-04

arxiv.org/abs/cond-mat/0004045v1

J. Phys. A vol. 33 7469-7487 (2000)

Physics

Condensed Matter

Statistical Mechanics

32 pages

Scientific paper

10.1088/0305-4470/33/42/301

The wave functions corresponding to the zero energy eigenvalue of a one-dimensional quantum chain Hamiltonian can be written in a simple way using quadratic algebras. Hamiltonians describing stochastic processes have stationary states given by such wave functions and various quadratic algebras were found and applied to several diffusions processes. We show that similar methods can also be applied for equilibrium processes. As an example, for a class of q-deformed O(N) symmetric antiferromagnetic quantum chains, we give the zero energy wave functions for periodic boundary conditions corresponding to momenta zero and $\pi$. We also consider free and various non-diagonal boundary conditions and give the corresponding wave functions. All correlation lengths are derived.

Affiliated with

Also associated with

No associations

Rating

Valence bond ground states in quantum antiferromagnets and quadratic algebras 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 Valence bond ground states in quantum antiferromagnets and quadratic algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Valence bond ground states in quantum antiferromagnets and quadratic algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-72919