Vortex-antivortex pair in a Bose-Einstein condensate
Type-II quantum lattice gas as a nonlinear φ4 theory of a complex field
Air Force Research Laboratory, Hanscom, Massachusetts, 01731, USA
2 Department of Physics, William & Mary, Williamsburg, Virginia, 23185, USA
3 Department of Electrical & Computer Engineering, Old Dominion University, Norfolk, Virginia, 23529, USA
Presented is a type-II quantum algorithm for superfluid dynamics, used to numerically predict solutions of the GP equation for a complex scalar field (spinless bosons) in φ4 theory. The GP equation is a long wavelength effective field theory of a microscopic quantum lattice gas with nonlinear state reduction. The quantum lattice gas algorithm for modeling the dynamics of the one-body BEC state in 3+1 dimensions is presented. To demonstrate the method's strength as a computational physics tool, a difficult situation of filamentary singularities is simulated, the dynamics of solitary vortex-antivortex pairs, which are a basic building block of morphologies of quantum turbulence.
© EDP Sciences, Springer-Verlag, 2009