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.
Relaxation dynamics in the gapped XXZ spin-1/2 chain
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abstract
We study the dynamics of a quench-prepared domain wall state released into a system whose unitary time evolution is dictated by the Hamiltonian of the Heisenberg spin-1/2 gapped antiferromagnetic chain. Using exact wavefunctions and their overlaps with the domain wall state allows us to describe the release dynamics to high accuracy, up to the long-time limit, for finite as well as infinite systems. The results for the infinite system allow us to rigorously prove that the system in the gapped regime ($\Delta >1$) cannot thermalize in the strict sense.
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quant-ph 1years
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.