Ultracold Bosons with 3-Body Attractive Interactions in an Optical Lattice
arXiv:0902.4734 · doi:10.1140/epjb/e2009-00055-1
Abstract
We study the effect of an optical lattice (OL) on the ground-state properties of one-dimensional ultracold bosons with three-body attraction and two-body repulsion, which are described by a cubic-quintic Gross-Pitaevskii equation with a periodic potential. Without the OL and with a vanishing two-body interaction term, soliton solutions of the Townes type are possible only at a critical value of the three-body interaction strength, at which an infinite degeneracy of the ground-state occurs; a repulsive two-body interaction makes such localized solutions unstable. We show that the OL opens a stability window around the critical point when the strength of the periodic potential is above a critical threshold. We also consider the effect of an external parabolic trap, studying how the stability of the solitons depends on matching between minima of the periodic potential and the minimum of the parabolic trap.
arXiv commentSpecial issue of European Physical Journal B on the conference "Theory of Quantum Gases and Quantum Coherence" held in Grenoble, 2008
References in corpus (37)
- Cold bosonic atoms in optical lattices
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
- Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
- Bright gap solitons of atoms with repulsive interaction
- Ground-State Properties of Magnetically Trapped Bose-Condensed Rubidium Gas
- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
- Landau and Dynamical Instabilities of the Superflow of Bose-Einstein Condensates in Optical Lattices
- Fundamental and vortex solitons in a two-dimensional optical lattice
- Modulational instability in cigar shaped Bose-Einstein condensates in optical lattices
- Dynamical Superfluid-Insulator Transition in a Chain of Weakly Coupled Bose-Einstein Condensates
- Observation of dynamical instability for a Bose-Einstein condensate in a moving 1D optical lattice
- Multidimensional solitons in periodic potentials
- Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
- Nonlinear excitations in arrays of Bose-Einstein condensates
- Three-body interactions with cold polar molecules
- Dynamics of dark solitons in elongated Bose-Einstein condensates
- Wannier functions analysis of the nonlinear Schrödinger equation with a periodic potential
- Superfluid current disruption in a chain of weakly coupled Bose-Einstein Condensates
- Matter-wave gap solitons in atomic bandgap structures
- Multidimensional solitons in a low-dimensional periodic potential
- Gap-Townes solitons and localized excitations in low dimensional Bose Einstein condensates in optical lattices
- Regular spatial structures in arrays of Bose-Einstein condensates induced by modulational instability
- Deviation from one-dimensionality in stationary properties and collisional dynamics of matter-wave solitons
- Bose-Einstein condensates in 1D optical lattices: compressibility, Bloch bands and elementary excitations
- Soliton mobility in nonlocal optical lattices
- Matter-wave solitons in radially periodic potentials
- Superfluid Dynamics of a Bose-Einstein Condensate in a Periodic Potential
- Nonlinear atom optics and bright gap soliton generation in finite optical lattices
- Bogoliubov sound speed in periodically modulated Bose-Einstein condensates
- Pfaffian-like ground state for 3-body-hard-core bosons in 1D lattices
- Delocalizing transition of multidimensional solitons in Bose-Einstein condensates
- Nonlinear Lattice Dynamics of Bose-Einstein Condensates
- Stabilization of two-dimensional solitons and vortices against supercritical collapse by lattice potentials
- One-Dimensional Bose Gases with N-Body Attractive Interactions
- Velocity of sound in a Bose-Einstein condensate in the presence of an optical lattice and transverse confinement