Dissipation-managed soliton in a quasi-one-dimensional Bose-Einstein condensate

Abstract

We use the time-dependent mean-field Gross-Pitaevskii equation to study the formation of a dynamically-stabilized dissipation-managed bright soliton in a quasi-one-dimensional Bose-Einstein condensate (BEC). Because of three-body recombination of bosonic atoms to molecules, atoms are lost (dissipated) from a BEC. Such dissipation leads to the decay of a BEC soliton. We demonstrate by a perturbation procedure that an alimentation of atoms from an external source to the BEC may compensate for the dissipation loss and lead to a dynamically-stabilized soliton. The result of the analytical perturbation method is in excellent agreement with mean-field numerics. It seems possible to obtain such a dynamically-stabilized BEC soliton without dissipation in laboratory.

5 pages, 3 figures

References in corpus (5)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Fermi-Bose mapping for one-dimensional Bose gases
• Principal problems in Bose-Einstein condensation of dilute gases
• Symbiotic Solitons in Heteronuclear Multicomponent Bose-Einstein condensates
• Bright solitons in coupled defocusing NLS equation supported by coupling: Application to Bose-Einstein condensation

Cited by in corpus (3)

• Sculpting quasi one-dimensional Bose-Einstein condensate to generate calibrated matter-waves
• Bright solitons and soliton trains in a fermion-fermion mixture
• Black soliton in a quasi-one-dimensional trapped fermion-fermion mixture