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Vortex-antivortex pair in a Bose-Einstein condensate

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

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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.

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Authors and Affiliations

  1. Air Force Research Laboratory, Hanscom, Massachusetts, 01731, USA

    J. Yepez

  2. Department of Physics, William & Mary, Williamsburg, Virginia, 23185, USA

    G. Vahala

  3. Department of Electrical & Computer Engineering, Old Dominion University, Norfolk, Virginia, 23529, USA

    L. Vahala

Authors
  1. J. Yepez
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  2. G. Vahala
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  3. L. Vahala
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Yepez, J., Vahala, G. & Vahala, L. Vortex-antivortex pair in a Bose-Einstein condensate. Eur. Phys. J. Spec. Top. 171, 9–14 (2009). https://doi.org/10.1140/epjst/e2009-01005-y

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  • DOI: https://doi.org/10.1140/epjst/e2009-01005-y

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