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.
Inner products of Bethe states as partial domain wall partition functions
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abstract
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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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.