Flipping-shuttle oscillations of bright one- and two-dimensional solitons in spin-orbit-coupled Bose-Einstein condensates with Rabi mixing

TL;DR

This paper investigates macroscopic quantum oscillations in spin-orbit-coupled Bose-Einstein condensates, revealing flipping and shuttle motions of bright solitons in one- and two-dimensional settings due to Rabi coupling.

Contribution

It introduces the concept of flipping-shuttle oscillations in bright solitons caused by Rabi mixing in spin-orbit-coupled BECs, combining analytical and numerical analysis.

Findings

Observation of intrinsic oscillations as component flip-flops in 1D solitons.

Identification of periodic transitions between vorticity states in 2D semi-vortex solitons.

Demonstration of macroscopic quantum effects in coupled matter-wave solitons.

Abstract

We analyze a possibility of macroscopic quantum effects in the form of coupled structural oscillations and shuttle motion of bright two-component spin-orbit-coupled striped (one-dimensional, 1D) and semi-vortex (two-dimensional, 2D) matter-wave solitons, under the action of linear mixing (Rabi coupling) between the components. In 1D, the intrinsic oscillations manifest themselves as flippings between spatially even and odd components of striped solitons, while in 2D the system features periodic transitions between zero-vorticity and vortical components of semi-vortex solitons. The consideration is performed by means of a combination of analytical and numerical methods.