Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management

TL;DR

This paper investigates the dynamics of discrete solitons in Bose-Einstein condensate arrays under periodic Feshbach-resonance management, revealing nonlinear resonances, chaos, and soliton splitting through variational analysis and numerical simulations.

Contribution

It introduces a discrete variational approach to analyze BEC arrays under time-periodic scattering length modulation, predicting nonlinear phenomena and deriving an averaged equation for rapid modulation.

Findings

Existence of nonlinear resonances and chaos at specific driving frequencies.

Observation of soliton splitting in numerical simulations.

Derivation of an averaged generalized discrete nonlinear Schrödinger equation for rapid modulation.

Abstract

The dynamics of a discrete soliton in an array of Bose-Einstein condensates under the action of a periodically time-modulated atomic scattering length (``Feshbach-resonance management, FRM'') is investigated. The cases of both slow and rapid modulation, in comparison with the tunneling frequency, are considered. We employ a discrete variational approach for the analysis of the system. The existence of nonlinear resonances and chaos is predicted at special values of the driving frequency. Soliton splitting is observed in numerical simulations. In the case of the rapid modulation, we derive an averaged equation, which is a generalized discrete nonlinear Schroedinger equation, including higher-order effective nonlinearities and intersite nonlinear interactions. Thus the predicted discrete FRM solitons are a direct matter-wave analog of recently investigated discrete diffraction-managed optical solitons.