Geometric Phase and Fidelity of The One-Dimensional Extended Quantum Compass Model in a Transverse Field

TL;DR

This paper investigates the geometric phase of the ground state in a one-dimensional extended quantum compass model under a transverse field, revealing critical behavior and universality through exact solutions.

Contribution

It provides an exact analytical solution for the geometric phase in the extended quantum compass model and explores its critical scaling and universality properties.

Findings

Geometric phase diverges at the critical point.

Scaling behavior of the geometric phase extremum is characterized.

Universality of the geometric phase near criticality is demonstrated.

Abstract

We study the geometric phase of the ground state in the extended quantum compass model in presence of a transverse field. The exact solution is obtained by using the Jordan-Wigner transformation which maps the Hamiltonian on a fermionic system and applying the Fourier transformation to realize the diagonalization and an analytical expression for the ground state and geometric phase in the momentum space. Furthermore, the scaling behavior of the extremum of geometric phase and its universality are investigated due to the divergence of geometric phase at the critical point.