Bethe states for the two-site Bose–Hubbard model : a binomial approach
We calculate explicitly the Bethe vectors states by the algebraic Bethe ansatz method with the gl(2)-invariant R-matrix for the two-site Bose–Hubbard model. Using a binomial expansion of the n-th power of a sum of two operators we get and solve a recursion equation. We calculate the scalar product a...
| Authors: | , , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2015 |
| Country: | Brasil |
| Institution: | Universidade Federal do Rio Grande do Sul (UFRGS) |
| Repository: | Repositório Institucional da UFRGS |
| Language: | English |
| OAI Identifier: | oai:www.lume.ufrgs.br:10183/142473 |
| Online Access: | http://hdl.handle.net/10183/142473 |
| Access Level: | Open access |
| Keyword: | Condensação Bose-Einstein Bethe ansatz Bethe vectors Form factors Bose–Einstein condensation |
| Summary: | We calculate explicitly the Bethe vectors states by the algebraic Bethe ansatz method with the gl(2)-invariant R-matrix for the two-site Bose–Hubbard model. Using a binomial expansion of the n-th power of a sum of two operators we get and solve a recursion equation. We calculate the scalar product and the norm of the Bethe vectors states. The form factors of the imbalance current operator are also computed. |
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