# Dynamics of trapped one-dimensional bosons for intermediate repulsive interactions

## TL;DR

This paper investigates the dynamics of a few one-dimensional bosons under harmonic confinement with varying interaction strengths, revealing crossovers in motion period and changes in Bragg-scattering peaks across different regimes.

## Contribution

It provides a numerical analysis of the time-evolution of few-body 1D bosons for arbitrary interaction strengths, highlighting new dynamical behaviors and structural features.

## Key findings

- The motion period exhibits two crossovers as interaction strength varies.
- Bragg-scattering peaks depend on interaction strength, from weak to Tonks-Girardeau regime.
- Numerical methods successfully model dynamics for arbitrary two-body interactions.

## Abstract

The time-evolution of few number of interacting, harmonically confined one-dimensional bosons is numerically obtained for arbitrary two-body $\delta-$potential interaction strengths. It is demonstrated that the period of the motion in a Newton's cradle configuration undergoes two crossovers as a function of interactions. Furthermore, through the evaluation of the structure factor, the dependence of Bragg-scattering peaks on the interaction strength ranging from the weak coupling regime to the impenetrable Tonks-Girardeau case is illustrated.