Dynamics of trapped one-dimensional bosons for intermediate repulsive interactions

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...

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Bibliographic Details
Main Authors: Gökmen, D. Efe, Yalabik, M. Cemal
Format: Journal Article
Language:English
Published: 11-02-2019
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Summary: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.
DOI:10.48550/arxiv.1902.04888