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arXiv · 1401.2877

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

Michael Brockmann·Jacopo De Nardis·Bram Wouters·Jean-Sébastien Caux
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Abstract

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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Michael Brockmann, Jacopo De Nardis, Bram Wouters, Jean-Sébastien Caux. 2014-01-13. A Gaudin-like determinant for overlaps of N\'eel and XXZ Bethe states. https://doi.org/10.1088/1751-8113/47/14/145003

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