Eur. Phys. J. Special Topics 171, 9-14 (2009)
https://doi.org/10.1140/epjst/e2009-01005-y

Vortex-antivortex pair in a Bose-Einstein condensate

Type-II quantum lattice gas as a nonlinear φ⁴ theory of a complex field

¹ 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

Abstract

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.