Controlled Split-Recombination of 2D Matter-Wave Solitons in Time-Dependent Trap

TL;DR

This paper introduces a new method to control 2D matter-wave solitons in Bose-Einstein condensates by adjusting trap frequency, enabling stable soliton dynamics and interference patterns without collapse, with potential experimental applications.

Contribution

It presents an analytical solution for 2D bright solitons in a time-dependent trap, demonstrating stable splitting and recombination phenomena distinct from Feshbach resonance techniques.

Findings

Stable 2D soliton dynamics without collapse

Observation of splitting and recombination phenomena

Potential for experimental realization in BECs

Abstract

We propose a novel approach to manipulate two-dimensional bright matter-wave solitons by tuning the frequency of the trap which is different from Feshbach resonance technique. The exact bright soliton solutions for two-dimensional Gross-Pitaevskii (GP) equation with attractive interaction strength in a time-dependent trap are constructed analytically and its dynamics show no collapse while modulating the trap frequency. The two-soliton dynamics exhibits an interesting splitting and recombination phenomenon which generates interference pattern in the process. This type of behaviour in two-dimensional BECs has wider ramifications and our approach opens new avenues in stabilizing bright solitons in higher dimensional regime. We have also explored the experimental realization of this novel phenomenon.