A generalized finite-time scaling form unifies Kibble-Zurek scaling for slow drives and De Grandi-Gritsev-Polkovnikov scaling for sudden quenches across arbitrary rates in critical dynamics.
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In driven critical dynamics of the 3D q-state clock model, two distinct finite-time scaling regions appear, governed by time scales ζ_d ∝ v^{-z/r} and ζ_d' ∝ v^{-z/r'}, with the angular order parameter φ_q switching dominance between them depending on driving velocity v.
Measurement-only circuits realize gapless SPT phases with nontrivial edge states at criticality, including symmetry-enriched percolation in Ising models and persistent Z4 gSPT phases mapped to Majorana loop models.
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Finite-time Scaling with Arbitrary Driving Rates: Bridging the Kibble-Zurek and De Grandi-Gritsev-Polkovnikov Limits
A generalized finite-time scaling form unifies Kibble-Zurek scaling for slow drives and De Grandi-Gritsev-Polkovnikov scaling for sudden quenches across arbitrary rates in critical dynamics.
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Finite-time scaling with two characteristic time scales: Driven critical dynamics with emergent symmetry
In driven critical dynamics of the 3D q-state clock model, two distinct finite-time scaling regions appear, governed by time scales ζ_d ∝ v^{-z/r} and ζ_d' ∝ v^{-z/r'}, with the angular order parameter φ_q switching dominance between them depending on driving velocity v.
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Gapless Symmetry-Protected Topological States in Measurement-Only Circuits
Measurement-only circuits realize gapless SPT phases with nontrivial edge states at criticality, including symmetry-enriched percolation in Ising models and persistent Z4 gSPT phases mapped to Majorana loop models.