Exact Matrix Elements of the Field Operator in the Thermodynamic Limit of the Lieb-Liniger Model

Abstract

We study a matrix element of the field operator in the Lieb-Liniger model using the Bethe ansatz technique coupled with a functional approach to compute Slavnov determinants. We obtain the matrix element exactly in the thermodynamic limit for any coupling constant $c$, and compare our results to known semiclassics at the limit $c\to 0.$

References added

References in corpus (3)

• Density form factors of the 1D Bose gas for finite entropy states
• Semi-classical analysis of the inner product of Bethe states
• Towards a Non-equilibrium Bethe ansatz for the Kondo Model