Vortex-antivortex pair in a Bose-Einstein condensate

Type-II quantum lattice gas as a nonlinear φ4 theory of a complex field
  • J. Yepez
  • G. Vahala
  • L. Vahala


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.


Vortex European Physical Journal Special Topic Vortex Core Vortex Line Quantum Algorithm 
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Copyright information

© EDP Sciences and Springer 2009

Authors and Affiliations

  • J. Yepez
    • 1
  • G. Vahala
    • 2
  • L. Vahala
    • 3
  1. 1.Air Force Research LaboratoryHanscomUSA
  2. 2.Department of PhysicsWilliamsburgUSA
  3. 3.Department of Electrical & Computer EngineeringOld Dominion UniversityNorfolkUSA

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