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.
Finite-size scaling analyses of Monte Carlo data for 3D compact lattice U(1) models with doubly-charged N-component scalars show continuous DC-OD transitions for N=10, weak first-order for N≤7, and inconclusive results for N=8,9, yielding the estimate N_cL=9(1).
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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Criticality around the Spinodal Point of First-Order Quantum Phase Transitions
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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Spinodal-like scaling behavior after a temperature quench across the first-order phase transition in three-dimensional $q$-state Potts models
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.
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Charged Abelian Higgs phase transitions in three-dimensional compact lattice U(1) gauge models with multicharge scalar matter
Finite-size scaling analyses of Monte Carlo data for 3D compact lattice U(1) models with doubly-charged N-component scalars show continuous DC-OD transitions for N=10, weak first-order for N≤7, and inconclusive results for N=8,9, yielding the estimate N_cL=9(1).
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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.