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

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

2011-11-09

arxiv.org/abs/1111.2175v1

Phys. Rev. A 85, 023628 (2012)

Physics

Condensed Matter

Quantum Gases

11 pages, 11 figures

Scientific paper

10.1103/PhysRevA.85.023628

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.

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