Matrix Representation of Constants of Motion for One-Dimensional Heisenberg Magnet
P. Jakubczyk, M. Labuz and T. Lulek
Department of Theoretical Physics, Faculty of Mathematics and Natural Sciences, University of Rzeszow, Pigonia 1, 35-310 Rzeszów, Poland
Full Text PDF
We demonstrate an exact diagonalization of the one-dimensional Heisenberg magnet in terms of algebraic Bethe Ansatz. We point out, by a polynomial expansion of the transfer matrix with respect to spectral parameter, a complete set of observables for classification of all eigenstates. We introduce an application of our approach on the example of the Heisenberg magnet consisting of four qubits, including its constants of motion, density matrices and complete classification of eigenstates.

DOI: 10.12693/APhysPolA.128.176
PACS numbers: 03.65.Aa, 75.10.Jm