A microscopic theory shows first-order quantum phase transitions exhibit hidden second-order criticality and Kibble-Zurek scaling around their spinodal points via an effective Hamiltonian obtained by projecting onto an emergent symmetric subspace.
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In 3D q-state Potts models quenched across first-order transitions, energy density scales as a function of ρ = (ln t)^{3/2} δ with a discontinuity at ρ_s > 0, implying a characteristic time τ where ln τ ≈ (ρ_s/δ)^{2/3} as δ → 0⁺, supported by numerics in the q=6 case.
Quantum quenches in the Ising chain exhibit qualitatively distinct out-of-equilibrium dynamics when crossing continuous versus first-order quantum transitions depending on the transverse field strength.
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Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models
Quantum quenches in the Ising chain exhibit qualitatively distinct out-of-equilibrium dynamics when crossing continuous versus first-order quantum transitions depending on the transverse field strength.