Interface evolution in the two-dimensional quantum Ising model
arXiv:2607.26662
The paper analytically studies how an interface between the two degenerate ground states of the two‑dimensional quantum Ising model evolves over time after a generic initial interpolation, focusing on the late‑time behavior in the rough phase and its breakdown near criticality.
Abstract
We consider the unitary time evolution of an interface in the regime of spontaneously broken symmetry of the two-dimensional quantum Ising model. The interface is induced by an initial condition interpolating between the two degenerate ground states in one of the spatial dimensions. The interpolation is left generic in order to investigate the dependence of the late time dynamics on the initial condition. Exploiting the basis of asymptotic quasiparticle states of the bulk theory, the order parameter is analytically determined at large times in the rough phase. The mechanism allowing the breakdown of this phase as the distance from criticality increases emerges from the theory.