Form factors of local operators in the models with $\operatorname{gl}(2|1)$-invariant $R$-matrix

The talk is devoted to the application of the nested algebraic Bethe ansatz to the models described by the algebra $\operatorname{gl}(2|1)$. These models can be used for studying strongly correlated electron systems, such as t-J model. It will also be told about the experimental creation of real quantum integrable systems using ultracold atoms.