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 of the SSH model with two unitaries produces end modes whose count can mismatch the winding number, while quasiperiodic protocols yield Loschmidt echoes that oscillate near one for long times before decaying as epsilon squared, and random protocols cause rapid decay.
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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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Su-Schrieffer-Heeger model driven by sequences of two unitaries: periodic, quasiperiodic, aperiodic, and random protocols
Periodic driving of the SSH model with two unitaries produces end modes whose count can mismatch the winding number, while quasiperiodic protocols yield Loschmidt echoes that oscillate near one for long times before decaying as epsilon squared, and random protocols cause rapid decay.