Exact overlaps for "all" integrable matrix product states of rational spin chains

Abstract

The overlaps between integrable matrix product states (MPS) and Bethe states are important in both the non-equilibrium statistical physics and the AdS/CFT duality. We present the general MPS overlap formula. The result is a product of a ratio of Gaudin determinants and a prefactor. The Gaudin determinants depend on the spin chain but not on the MPS. The MPS dependent prefactor is given for all integrable MPS of the ${\mathfrak{gl}}_N$, ${\mathfrak{o}}_N$ and ${\mathfrak{sp}}_N$ symmetric spin chains with arbitrary representations.

6+21 pages, 1 figure, minor corrections, extra examples added

Cited by in corpus (1)

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