Three-dimensional solitons in coupled atomic-molecular Bose-Einstein condensates
arXiv:cond-mat/0410234 · doi:10.1103/PhysRevA.70.063611
Abstract
We present a theoretical analysis of three-dimensional (3D) matter-wave solitons and their stability properties in coupled atomic and molecular Bose-Einstein condensates (BEC). The soliton solutions to the mean-field equations are obtained in an approximate analytical form by means of a variational approach. We investigate soliton stability within the parameter space described by the atom-molecule conversion coupling, atom-atom s-wave scattering, and the bare formation energy of the molecular species. In terms of ordinary optics, this is analogous to the process of sub/second-harmonic generation in a quadratic non-linear medium modified by a cubic nonlinearity, together with a phase mismatch term between the fields. While the possibility of formation of multidimensional spatio-temporal solitons in pure quadratic media has been theoretically demonstrated previously, here we extend this prediction to matter-wave interactions in BEC systems where higher-order non-linear processes due to interparticle collisions are unavoidable and may not be neglected. The stability of the solitons predicted for repulsive atom-atom interactions is investigated by direct numerical simulations of the equations of motion in a full 3D lattice. Our analysis also leads to a possible technique for demonstrating the ground state of the Schroedinger-Newton and related equations that describe Bose-Einstein condensates with non-local inter-particle forces.
Final published version (minor modifications to the text)
References in corpus (22)
- Observation of Bose-Einstein Condensation of Molecules
- Creation of ultracold molecules from a Fermi gas of atoms
- Atom--Molecule Coherence in a Bose-Einstein Condensate
- Conversion of an Atomic Fermi Gas to a Long-Lived Molecular Bose Gas
- Production of Long-Lived Ultracold Li2 Molecules from a Fermi gas
- Superchemistry: dynamics of coupled atomic and molecular Bose-Einstein condensates
- Observation of molecules produced from a Bose-Einstein condensate
- Creating vortex rings and three-dimensional skyrmions in Bose-Einstein condensates
- Formation of Quantum-Degenerate Sodium Molecules
- Coherent molecular solitons in Bose-Einstein condensates
- Atom-molecule coherence in Bose gases
- Ramsey fringes in a Bose-Einstein condensate between atoms and molecules
- Formation of Pairing Fields in Resonantly Coupled Atomic and Molecular Bose-Einstein Condensates
- Energetically stable particle-like Skyrmions in a trapped Bose-Einstein condensate
- Microscopic theory of atom-molecule oscillations in a Bose-Einstein condensate
- Atom loss from Bose-Einstein condensates due to Feshbach resonance
- Mean-Field Theory of Feshbach-Resonant Interactions in 85Rb Condensates
- Multi-mode dynamics of a coupled ultracold atomic-molecular system
- Stable particlelike solitons with multiply-quantized vortex lines in Bose-Einstein condensates
- Quantum theory of dispersive electromagnetic modes
- Existence and stability of atomic-molecular Bose-Einstein condensates
- Many-body aspects of coherent atom-molecule oscillations
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- Solitons in coupled atomic-molecular Bose-Einstein condensates in a trap
- Quantum superchemistry in an output coupler of coherent matter waves
- Matter waves in atomic-molecular condensates with Feshbach resonance management
- Quantum lattice solitons in ultracold bosons near Feshbach resonance
- Localized spatially nonlinear matter waves in atomic-molecular Bose-Einstein condensates with space-modulated nonlinearity
- Stable three-dimensional solitons in spin-orbit-coupled atomic-molecular condensates