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A Gaudin-like determinant for overlaps of N\'eel and XXZ Bethe states

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arxiv 1401.2877 v2 pith:PIAATQK2 submitted 2014-01-13 cond-mat.stat-mech math-phmath.MP

classification cond-mat.stat-mechmath-phmath.MP
keywords bethedeterminantformulastatesoverlapsstatesystemanother
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We derive a determinant expression for overlaps of Bethe states of the XXZ spin chain with the N{\'e}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.

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Cited by 3 Pith papers

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  3. One-point functions in AdS/dCFT

    hep-th 2019-08 unverdicted novelty 1.0 of 10

    A review explains how one-point functions in a D3-D5 defect CFT reduce to integrable spin chain overlaps, expressible as determinant formulas.

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