Soliton molecules in trapped vector nonlinear Schrödinger systems

Area of Science:

• Nonlinear optics
• Quantum physics
• Condensed matter physics

Background:

• Solitons are self-reinforcing wave packets.
• Multisoliton molecules are bound states of multiple solitons.
• Kerr nonlinear media and Bose-Einstein condensates support soliton formation.

Purpose of the Study:

• To propose a general method for constructing stable multisoliton molecules.
• To explore the variety of molecular structures possible.
• To demonstrate the formation of molecules in specific physical systems.

Main Methods:

• Development of a general theoretical framework for multisoliton molecule formation.
• Analysis of coupled light beams in Kerr graded index (GRIN) media.
• Investigation of atomic mixtures in Bose-Einstein condensates.
• Construction of two-, three-, and four-atom molecules using Gaussian modes and vortices.
• Presentation of a three-dimensional example.

Main Results:

• A versatile method for building stable multisoliton molecules is proposed.
• A wide range of molecular configurations, including different numbers of 'atoms' (solitons) and types (Gaussian, vortex), can be formed.
• The theoretical framework is validated by specific examples and a 3D case.

Conclusions:

• Stable multisoliton molecules can be controllably constructed in nonlinear optical and atomic systems.
• The proposed method offers a pathway to engineer complex soliton bound states.
• This work opens possibilities for novel applications in optics and quantum physics.