The distribution of complex zeros of the Loschmidt amplitude is governed by the energy envelope of the initial state, with zeros reaching the real-time axis as finite-size precursors to dynamical quantum phase transitions.
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Periodic driving induces DQPTs in the 1D Ising model via resonance within a phase (linked to Floquet topology) or low-frequency crossing of the critical point due to energy degeneracy.
In the Z3 chiral clock model, DQPTs emerge only for special angles in the chiral phase, with an analytical expression derived for the zeros of the dynamical partition function.
citing papers explorer
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Tracing complex zeros of the quantum survival amplitude: How the energy distribution controls dynamical phase transitions
The distribution of complex zeros of the Loschmidt amplitude is governed by the energy envelope of the initial state, with zeros reaching the real-time axis as finite-size precursors to dynamical quantum phase transitions.
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Dynamical Phase Transitions in Periodically Driving 1D Ising Model
Periodic driving induces DQPTs in the 1D Ising model via resonance within a phase (linked to Floquet topology) or low-frequency crossing of the critical point due to energy degeneracy.
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Emergent dynamical quantum phase transition in a $Z_3$ symmetric chiral clock model
In the Z3 chiral clock model, DQPTs emerge only for special angles in the chiral phase, with an analytical expression derived for the zeros of the dynamical partition function.