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.
Overlaps between eigenstates of the XXZ spin-1/2 chain and a class of simple product states
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abstract
We consider a class of quantum quenches in the spin-1/2 XXZ chain, where the initial state is of a simple product form. Specific examples are the N\'eel state, the dimer state and the q-deformed dimer state. We compute determinant formulas for finite volume overlaps between the initial state and arbitrary eigenstates of the spin chain Hamiltonian. These results could serve as a basis for calculating the time dependence of correlation functions following the quantum quench.
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2026 1verdicts
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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.