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Inner products of Bethe states as partial domain wall partition functions
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We study the inner product of Bethe states in the inhomogeneous periodic XXX spin-1/2 chain of length L, which is given by the Slavnov determinant formula. We show that the inner product of an on-shell M-magnon state with a generic M-magnon state is given by the same expression as the inner product of a 2M-magnon state with a vacuum descendent. The second inner product is proportional to the partition function of the six-vertex model on a rectangular Lx2M grid, with partial domain-wall boundary conditions.
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Cited by 1 Pith paper
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Gate Parameter Lee-Yang Zeros and Dynamical Phases in Quantum Circuits
Lee-Yang zeros in one complex gate parameter of the Loschmidt amplitude condense on curves that reorganize abruptly to diagnose dynamical phase transitions in finite quantum circuits via spectral competition.
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