Quench dynamics of topological quantum phase transition in Wen-plaquette model

TL;DR

This paper investigates the quench dynamics of a topological quantum phase transition in the Wen-plaquette model, revealing a logarithmic scaling law similar to static critical behavior in the quantum Ising model.

Contribution

It maps the two-dimensional Wen-plaquette model to a one-dimensional quantum Ising model to analyze the quench dynamics of topological phase transition.

Findings

Logarithmic scaling law near the quantum phase transition

Analogy to static specific heat behavior in 1D quantum Ising model

Expectation value of plaquette operator during quench

Abstract

We study the quench dynamics of the topological quantum phase transition in the two-dimensional transverse Wen-plaquette model, which has a phase transition from a Z2 topologically ordered to a spin-polarized state. By mapping the Wen-plaquette model onto a one-dimensional quantum Ising model, we calculate the expectation value of the plaquette operator Fi during a slowly quenching process from a topologically ordered state. A logarithmic scaling law of quench dynamics near the quantum phase transition is found, which is analogous to the well-known static critical behavior of the specific heat in the one-dimensional quantum Ising model.