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Abstracts
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.
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176-178
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Dates
published
2015-08
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- Department of Theoretical Physics, Faculty of Mathematics and Natural Sciences, University of Rzeszow, Πgonia 1, 35-310 Rzeszów, Poland
author
- Department of Theoretical Physics, Faculty of Mathematics and Natural Sciences, University of Rzeszow, Πgonia 1, 35-310 Rzeszów, Poland
author
- Department of Theoretical Physics, Faculty of Mathematics and Natural Sciences, University of Rzeszow, Πgonia 1, 35-310 Rzeszów, Poland
References
- [1] R.J. Baxter, Ann. Phys. 70, 323 (1972), doi: 10.1016/0003-4916(72)90270-9
- [2] B. Sutherland, J. Math. Phys. 11, 3183 (1970), doi: 10.1063/1.1665111
- [3] L.D. Faddeev, L.A. Takhtajan, J. Sov. Math. 24, 241 (1984), doi: 10.1007/BF01087245
- [4] P.A.M. Dirac, Phys. Today 11, 32 (1958), doi: 10.1063/1.3062610
- [5] H. Bethe, Z. Phys. 71, 205 (1931) (in German; English translation in: D.C. Mattis, The Many-Body Problem, World Sci., Singapore 1993, p. 689), doi: 10.1007/BF01341708
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Publication order reference
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YADDA identifier
bwmeta1.element.bwnjournal-article-appv128n210kz