A Gaudin-like determinant for overlaps of Néel and XXZ Bethe states

Abstract

We derive a determinant expression for overlaps of Bethe states of the XXZ spin chain with the N{é}el state, the ground state of the system in the antiferromagnetic Ising limit. Our formula, of determinant form, is valid for generic system size. Interestingly, it is remarkably similar to the well-known Gaudin formula for the norm of Bethe states, and to another recently-derived overlap formula appearing in the Lieb-Liniger model.

10 pages

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• Kuramoto model of synchronization: Equilibrium and nonequilibrium aspects

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