Solitons in dipolar Bose-Einstein condensates with trap and barrier potential

TL;DR

This paper investigates the behavior of solitons in dipolar Bose-Einstein condensates within a trap and barrier potential, analyzing transmission, reflection, splitting, and fusion phenomena through analytical and numerical methods.

Contribution

It introduces a detailed analysis of soliton dynamics in dipolar BECs with trap and barrier potentials, including conditions for splitting and fusion, and explores the delocalization transition due to nonlocal interactions.

Findings

Soliton transmission, reflection, and splitting depend on the ratio of local to dipolar interactions.

Coherent splitting and fusion of solitons are observed and conditions for fusion are identified.

Delocalization transition is governed by the strength of nonlocal dipolar interactions.

Abstract

The propagation of solitons in dipolar BEC in a trap potential with a barrier potential is investigated. The regimes of soliton transmission, reflection and splitting as a function of the ratio between the local and dipolar nonlocal interactions are analyzed analytically and numerically. Coherent splitting and fusion of the soliton by the defect is observed. The conditions for fusion of splitted solitons are found. In addition the delocalization transition governed by the strength of the nonlocal dipolar interaction is presented. Predicted phenomena can be useful for the design of a matter wave splitter and interferometers using matter wave solitons.