Kelvin-Helmholtz instability in two-component Bose gases on a lattice

Abstract

We explore the stability of the interface between two phase-separated Bose gases in relative motion on a lattice. Gross-Pitaevskii-Bogoliubov theory and the Gutzwiller ansatz are employed to study the short- and long-time stability properties. The underlying lattice introduces effects of discreteness, broken spatial symmetry, and strong correlations, all three of which are seen to have considerable qualitative effects on the Kelvin-Helmholtz instability. Discreteness is found to stabilize low flow velocities, because of the finite energy associated with displacing the interface. Broken spatial symmetry introduces a dependence not only on the relative flow velocity, but on the absolute velocities. Strong correlations close to a Mott transition will stop the Kelvin-Helmholtz instability from affecting the bulk density and creating turbulence; instead, the instability will excite vortices with Mott-insulator filled cores.

11 pages, 11 figures

References in corpus (7)

• Crossover between Kelvin-Helmholtz and counter-superflow instabilities in two-component Bose-Einstein condensates
• Vortex configurations of bosons in an optical lattice
• Dynamical and energetic instabilities in multi-component Bose-Einstein condensates in optical lattices
• Dynamical stability of a doubly quantized vortex in a three-dimensional condensate
• Magnetic phases and transitions of the two-species Bose-Hubbard model
• Rotating states for trapped bosons in an optical lattice
• Mott insulator dynamics

Cited by in corpus (11)

• Connecting shear-flow and vortex array instabilities in annular atomic superfluids
• Pattern formation of quantum Kelvin-Helmholtz instability in binary superfluids
• Optical lattice influenced geometry of quasi-2D binary condensates and quasiparticle spectra
• Topological interface physics of defects and textures in spinor Bose-Einstein condensates
• Characteristic temperature for the immiscible-miscible transition of binary condensates in optical lattices
• Segregated quantum phases of dipolar bosonic mixtures in two-dimensional optical lattices
• Quantum droplet of a two-component Bose gas in an optical lattice near the Mott insulator transition
• Suppression of the superfluid Kelvin-Helmholtz instability due to massive vortex cores, friction and confinement
• Number-conserving approaches to $n$-component Bose-Einstein condensates
• Emergence of spiral dark solitons in the merging of rotating Bose-Einstein condensates
• Kelvin-Helmholtz instability of AB interface in superfluid 3He