Overlap between usual and modified Bethe vectors

Abstract

We consider the overlap of Bethe vectors of the XXX spin chain with a diagonal twist and the modified Bethe vectors with a general twist. We find a determinant representation for this overlap under one additional condition on the twist parameters. Such objects arise in the calculations of nonequilibrium physics.

arXiv comment19 pages, no figures

References in corpus (11)

• Quantum Inverse Scattering Method and Correlation Functions
• How Algebraic Bethe Ansatz works for integrable model
• Off-diagonal Bethe ansatz and exact solution of a topological spin ring
• Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
• Determinant formula for the six-vertex model with reflecting end
• Spectrum of Quantum Transfer Matrices via Classical Many-Body Systems
• Slavnov and Gaudin-Korepin Formulas for Models without $\mathrm{U}(1)$ Symmetry: the Twisted XXX Chain
• Why scalar products in the algebraic Bethe ansatz have determinant representation
• Modified Algebraic Bethe Ansatz: Twisted XXX Case
• Scalar product of twisted XXX modified Bethe vectors
• Scalar Products in Twisted XXX Spin Chain. Determinant Representation

Cited by in corpus (2)

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