# Dimerization in ultracold spinor gases with Zeeman splitting

## TL;DR

This paper investigates the phase boundaries of the dimerized phase in the bilinear-biquadratic spin-1 Heisenberg model with quadratic Zeeman effect, clarifying discrepancies in recent literature through numerical analysis.

## Contribution

It resolves conflicting results on the dimerized phase boundaries by providing a detailed numerical study of the model with Zeeman splitting.

## Key findings

- Phase boundaries of the dimerized phase are precisely determined.
- Discrepancies in previous studies are explained.
- Numerical results clarify the conditions for dimerization in the model.

## Abstract

Two recent publications report different boundaries for the dimerized phase of the bilinear-biquadratic spin-1 Heisenberg model with quadratic Zeeman effect. We address these discrepancies for the biquadratic model with quadratic Zeeman term and explain the differences. Based on our numerical results the phase boundaries of the dimerized phase are determined.