Roughening dynamics of interfaces in the two-dimensional quantum Ising model

TL;DR

This paper investigates the quantum interface roughening transition in the 2D quantum Ising model using large-scale tensor network simulations, revealing distinct dynamical behaviors for smooth and rough interfaces.

Contribution

It introduces a novel simulation approach to identify quantum interface roughening transitions and characterizes their dynamical signatures within the ferromagnetic phase.

Findings

Extended prethermal plateaus for smooth interfaces

Rapid decay of domain walls above the roughening transition

Results applicable to Rydberg atomic experiments

Abstract

The properties of interfaces are key to understand the physics of matter. However, the study of quantum interface dynamics has remained an outstanding challenge. Here, we use large-scale Tree Tensor Network simulations to identify the dynamical signature of an interface roughening transition within the ferromagnetic phase of the 2D quantum Ising model. For initial domain wall profiles we find extended prethermal plateaus for smooth interfaces, whereas above the roughening transition the domain wall decays quickly. Our results can be readily explored experimentally in Rydberg atomic systems.