Application of the Feshbach-resonance management to a tightly confined Bose-Einstein condensate

TL;DR

This paper investigates how time-periodic modulation of nonlinearity can prevent collapse and stabilize matter-wave solitons in a tightly confined Bose-Einstein condensate, using numerical simulations of the NPSE.

Contribution

It introduces a systematic analysis of stability regions for solitons under nonlinear modulation in a BEC trap, highlighting the effects of modulation parameters.

Findings

Identified stability regions in modulation amplitude and frequency plane.

Found chaotic evolution of solitons at low modulation frequencies.

Demonstrated robustness of solitons despite chaotic dynamics.

Abstract

We study suppression of the collapse and stabilization of matter-wave solitons by means of time-periodic modulation of the effective nonlinearity, using the nonpolynomial Schroedinger equation (NPSE) for BEC trapped in a tight cigar-shaped potential. By means of systematic simulations, a stability region is identified in the plane of the modulation amplitude and frequency. In the low-frequency regime, solitons feature chaotic evolution, although they remain robust objects.