Localized spatially nonlinear matter waves in atomic-molecular Bose-Einstein condensates with space-modulated nonlinearity

Abstract

The intrinsic nonlinearity is the most remarkable characteristic of the Bose-Einstein condensates (BECs) systems. Many studies have been done on atomic BECs with time- and space- modulated nonlinearities, while there is few work considering the atomic-molecular BECs with space-modulated nonlinearities. Here, we obtain two kinds of Jacobi elliptic solutions and a family of rational solutions of the atomic-molecular BECs with trapping potential and space-modulated nonlinearity and consider the effect of three-body interaction on the localized matter wave solutions. The topological properties of the localized nonlinear matter wave for no coupling are analysed: the parity of nonlinear matter wave functions depends only on the principal quantum number $n$, and the numbers of the density packets for each quantum state depend on both the principal quantum number $n$ and the secondary quantum number $l$. When the coupling is not zero,the localized nonlinear matter waves given by the rational function, their topological properties are independent of the principal quantum number $n$, only depend on the secondary quantum number $l$. The Raman detuning and the chemical potential can change the number and the shape of the density packets. The stability of the Jacobi elliptic solutions depends on the principal quantum number $n$, while the stability of the rational solutions depends on the chemical potential and Raman detuning.

30 pages, 8 figures, to appear in Scientific Reports

References in corpus (19)

• Tuning the scattering length with an optically induced Feshbach resonance
• Influence of nearly resonant light on the scattering length in low-temperature atomic gases
• Production of Long-Lived Ultracold Li2 Molecules from a Fermi gas
• Superchemistry: dynamics of coupled atomic and molecular Bose-Einstein condensates
• Formation of Quantum-Degenerate Sodium Molecules
• Nanometer-scale spatial modulation of an inter-atomic interaction in a Bose-Einstein condensate
• Atom-molecule dark states in a Bose-Einstein condensate
• Controlling a magnetic Feshbach resonance with laser light
• Photoassociation of sodium in a Bose-Einstein condensate
• Production Efficiency of Ultracold Feshbach Molecules in Bosonic and Fermionic Systems
• Vortex structures of rotating spin-orbit coupled Bose-Einstein condensates
• Quantized Quasi-Two Dimensional Bose-Einstein Condensates with Spatially Modulated Nonlinearity
• Solitons with Cubic and Quintic Nonlinearities Modulated in Space and Time
• Preparation of a quantum state with one molecule at each site of an optical lattice
• Creating stable molecular condensate using a generalized Raman adiabatic passage scheme
• Two-dimensional solitons in the Gross-Pitaevskii equation with spatially modulated nonlinearity
• Self-localized impurities embedded in a one dimensional Bose-Einstein condensate and their quantum fluctuations
• Sub-Natural-Linewidth Quantum Interference Features Observed in Photoassociation of a Thermal Gas
• Three-dimensional solitons in coupled atomic-molecular Bose-Einstein condensates