Dissipative Dynamics of Matter Wave Soliton in Nonlinear Optical Lattice

TL;DR

This paper investigates the dynamics and stability of matter wave solitons in 2D Bose-Einstein condensates influenced by dissipative and nonlinear optical lattices, revealing mechanisms to prevent collapse and sustain stable solitons.

Contribution

It introduces a novel analysis of dissipative effects on 2D BEC solitons in combined conservative and dissipative nonlinear lattices, supported by numerical simulations.

Findings

Dissipative nonlinearity arrests wave packet collapse in focusing media.

Metastable solitons arise from adiabatic changes in scattering length.

Stable solitons can exist in defocusing media with specific trapping configurations.

Abstract

Dynamics and stability of solitons in two-dimensional (2D) Bose-Einstein condensates (BEC), with low-dimensional (1D) conservative plus dissipative nonlinear optical lattices are investigated. In the case of focusing media (with attractive atomic systems) the collapse of the wave packet is arrested by the dissipative periodic nonlinearity. The adiabatic variation of the background scattering length leads to metastable matter-wave solitons. When the atom feeding mechanism is used, a dissipative soliton can exist in focusing 2D media with 1D periodic nonlinearity. In the defocusing media (repulsive BEC case) with harmonic trap in one dimension and one dimensional nonlinear optical lattice in other direction, the stable soliton can exist. This prediction of variational approach is confirmed by the full numerical simulation of 2D Gross-Pitaevskii equation.