Stationary and traveling solitons via local dissipations in Bose-Einstein condensates in ring optical lattices

TL;DR

This paper demonstrates how localized dissipation in a ring optical lattice can generate and stabilize both stationary and traveling solitons in a Bose-Einstein condensate, revealing new soliton solutions and collision behaviors.

Contribution

It introduces a model showing dissipation-induced stabilization of novel stationary and traveling lattice solitons in Bose-Einstein condensates within ring optical lattices.

Findings

Localized dissipation creates stable stationary and traveling solitons.

Discovery of quasiperiodic and two-peak traveling lattice solitons.

Collision dynamics depend critically on lattice depth.

Abstract

A model of a Bose-Einstein condensate in a ring optical lattice with atomic dissipations applied at a stationary or at a moving location on the ring is presented. The localized dissipation is shown to generate and stabilize both stationary and traveling lattice solitons. Among many localized solutions, we have generated spatially stationary quasiperiodic lattice soltions and a family of traveling lattice solitons with two intensity peaks per potential well with no counterpart in the discrete case. Collisions between traveling and stationary lattice solitons as well as between two traveling lattice solitons display a critical dependence from the lattice depth. Stable counterpropagating solitons in ring lattices can find applications in gyroscope interferometers with ultra-cold gases.