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 $c\to 0.$

arXiv commentReferences added

References in corpus (18)

• On the Operator Content of the Sinh-Gordon Model
• One-particle dynamical correlations in the one-dimensional Bose gas
• Form factor approach to dynamical correlation functions in critical models
• Exact local correlations and full counting statistics for arbitrary states of the one-dimensional interacting Bose gas
• Determinant representation for dynamical correlation functions of the Quantum nonlinear Schrödinger equation
• 1D Lieb-Liniger Bose Gas as Non-Relativistic Limit of the Sinh-Gordon Model
• Expectation Values in the Lieb-Liniger Bose Gas
• Null-vectors in Integrable Field Theory
• Thermal form factors of the XXZ chain and the large-distance asymptotics of its temperature dependent correlation functions
• Density form factors of the 1D Bose gas for finite entropy states
• Quasi-classical Study of Form Factors in Finite Volume
• Exact formulas for the form factors of local operators in the Lieb-Liniger model
• Inner products of Bethe states as partial domain wall partition functions
• Semi-classical analysis of the inner product of Bethe states
• The Whitham Approach to the $c\to 0$ limit of The Lieb-Liniger Model and Generalized Hydrodynamics
• Towards a Non-equilibrium Bethe ansatz for the Kondo Model
• Coherence Factors Beyond the BCS Expressions -- A Derivation
• Coherence Factors Beyond the BCS Result