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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Weak Gaussian noise in control fields makes dissipation grow linearly with steps in quantum equilibration, yielding a finite optimal step count and minimal dissipated work derived from quantum thermodynamic length.
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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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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Finite steps optimise dissipation in stochastically controlled quantum systems
Weak Gaussian noise in control fields makes dissipation grow linearly with steps in quantum equilibration, yielding a finite optimal step count and minimal dissipated work derived from quantum thermodynamic length.
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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.