Report
Bethe Ansatz solution of the small polaron with nondiagonal boundary terms
| العنوان: | Bethe Ansatz solution of the small polaron with nondiagonal boundary terms |
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| المؤلفون: | Karaiskos, Nikos, Grabinski, André M., Frahm, Holger |
| المصدر: | J. Stat. Mech. (2013) P07009 |
| سنة النشر: | 2013 |
| المجموعة: | Mathematics Condensed Matter High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory |
| الوصف: | The small polaron with generic, nondiagonal boundary terms is investigated within the framework of quantum integrability. The fusion hierarchy of the transfer matrices and its truncation for particular values of the anisotropy parameter are both employed, so that the spectral problem is formulated in terms of a TQ equation. The solution of this equation for generic boundary conditions is based on a deformation of the diagonal case. The eigenvalues of the model are extracted and the corresponding Bethe Ansatz equations are presented. Finally, we comment on the eigenvectors of the model and explicitly compute the eigenstate of the model which evolves into the Fock vacuum when the off-diagonal boundary terms are switched off. Comment: 24 pages, Latex; Improved presentation, an appendix and references added; Published version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1742-5468/2013/07/P07009 |
| URL الوصول: | http://arxiv.org/abs/1304.2659 |
| رقم الانضمام: | edsarx.1304.2659 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1742-5468/2013/07/P07009 |
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