Dynamics in the Ising field theory after a quantum quench

Abstract

We study the real-time dynamics of the order parameter $<\sigma (t)>$ in the Ising field theory after a quench in the fermion mass, which corresponds to a quench in the transverse field of the corresponding transverse field Ising chain. We focus on quenches within the ordered phase. The long-time behaviour is obtained analytically by a resummation of the leading divergent terms in a form-factor expansion for $<\sigma (t)>$. Our main result is the development of a method for treating divergences associated with working directly in the field theory limit. We recover the scaling limit of the corresponding result by Calabrese et al. [Phys. Rev. Lett. \textbf{106}, 227203 (2011)], which was obtained for the lattice model. Our formalism generalizes to integrable quantum quenches in other integrable models.

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Cited by in corpus (6)

• Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
• Finite-size corrections vs. relaxation after a sudden quench
• Entanglement evolution across defects in critical anisotropic Heisenberg chains
• Diagonal multi-soliton matrix elements in finite volume
• The excitation operator method in the spin dynamics of the one-dimensional XXZ model
• Quantum Correlations in Field Theory and Integrable Systems