A spin chain with spiral orders: perspectives of quantum information and mechanical response

TL;DR

This paper investigates a solvable 1D spin model with spiral ground states, analyzing quantum phase transitions and mechanical responses, revealing how fidelity and torsion modulus signal criticality and order changes.

Contribution

It introduces a model with spiral order exhibiting unique phase transition behaviors and explores its quantum and mechanical properties, providing new insights into spin chain physics.

Findings

Fidelity modes detect periodicity changes at critical points

Spin torsion modulus is constant at criticality and vanishes away from it

Ground state exhibits spiral order with various periods

Abstract

In this paper, we study the ground state of a one-dimensional exactly solvable model with a spiral order. While the model's energy spectra is the same as the one-dimensional transverse field Ising model, its ground state manifests spiral order with various periods. The quantum phase transition from a spiral-order phase to a paramagnetic phase is investigated in perspectives of quantum information science and mechanics. We show that the modes of the ground-state fidelity and its susceptibility can tell the change of periodicity around the critical point. We study also the spin torsion modulus which defines the coefficient of the potential energy stored under a small rotation. We find that at the critical point, it is a constant; while away from the critical point, the spin torsion modulus tends to zero.