# Dynamic response of spin-2 bosons in one-dimensional optical lattices

## TL;DR

This study explores the dynamic behavior of spin-2 bosons in one-dimensional optical lattices, revealing how their excitation spectra vary across different phases and parameter regimes, with implications for future experiments.

## Contribution

It provides a detailed analysis of the dynamic structure factor and excitation spectra of spin-2 bosons in optical lattices using advanced numerical methods, highlighting phase-dependent features.

## Key findings

- Distinct spectral features in dimerized phase near and far from SU(5) point
- Presence of gapless excitations at specific momenta in trimerized phase
- Parameter regimes relevant for future optical-lattice experiments

## Abstract

We investigate the spin-2 chain model corresponding to the small hopping limit of the spin-2 Bose-Hubbard model using density-matrix renormalization-group and time-evolution techniques. We calculate both static correlation functions and the dynamic structure factor. The dynamic structure factor in the dimerized phase differs significantly between parameters near the SU(5)-symmetric point and those deeper in the phase where the dimerization is strong. In the former case, most of the spectral weight is concentrated in a single excitation line, while in the latter case, a broad excitation continuum shows up. For the trimerized phase, we find gapless excitations at momenta $k=\pm2\pi/3$ in agreement with previous results, although the visibility of these excitations in the dynamic spin response depends strongly on the specific parameters. We also consider parameters for specific atoms which may be relevant for future optical-lattice experiments.