One-dimensional two-component Bose gas and the algebraic Bethe ansatz

Matthew J. Davis, Jan C. Zill, Tod M. Wright +2 more

Go Kato, Miki Wadati

N. A. Slavnov

We apply the nested algebraic Bethe ansatz to a model of one-dimensional two-component Bose gas with delta-function repulsive interaction. Using a lattice approximation of the L-operator we find Bethe vectors of the model in the continuous limit. We also obtain a series representation for the monodromy matrix of the model in terms of Bose fields. This representation allows us to study an asymptotic expansion of the monodromy matrix over the spectral parameter.

Tim Langen

Stanislav Zdislavovich Pakuliak, E. Ragoucy, N A Slavnov

We consider a one-dimensional model of a two-component Bose gas and study form factors of local operators in this model. For this aim, we use an approach based on the algebraic Bethe ansatz. We show that the form factors under consideration can be reduced to those of the monodromy matrix entries in a generalized GL (3)-invariant model. In this way we derive determinant representations for the form factors of local operators.

Anatoli G. Izergin, V. E. Korepin