Stabilizer Rényi entropies and Pauli spectrum cumulants show universal power-law scaling with driving rate in slow processes across quantum phase transitions, with the logarithmic Pauli spectrum asymptotically Gaussian, demonstrated in the transverse-field Ising model and long-range Kitaev models.
del Campo, Universal statistics of topological defects formed in a quantum phase transition, Phys
2 Pith papers cite this work. Polarity classification is still indexing.
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Kibble-Zurek defect scaling does not generally correspond to quantum criticality in representative quasi-1D Fermi models.
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Universal Non-stabilizerness Dynamics Across Quantum Phase Transitions
Stabilizer Rényi entropies and Pauli spectrum cumulants show universal power-law scaling with driving rate in slow processes across quantum phase transitions, with the logarithmic Pauli spectrum asymptotically Gaussian, demonstrated in the transverse-field Ising model and long-range Kitaev models.
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Separation of the Kibble-Zurek Mechanism from Quantum Criticality
Kibble-Zurek defect scaling does not generally correspond to quantum criticality in representative quasi-1D Fermi models.