A study of one-dimensional transport of Bose-Einstein condensates using exterior complex scaling
arXiv:1310.3669 · doi:10.1007/s00340-014-5804-3
Abstract
We numerically investigate the one-dimensional transport of Bose-Einstein condensates in the context of guided atom lasers using a mean-field description of the condensate in terms of a spatially discretized Gross-Pitaevskii equation. We specifically consider a waveguide configuration in which spatial inhomogeneities and nonvanishing atom-atom interactions are restricted to a spatially localized scattering region of finite extent. We show how the method of smooth exterior complex scaling can be implemented for this particular configuration in order to efficiently absorb the outgoing flux within the waveguide. A numerical comparison with the introduction of a complex absorbing potential as well as with the analytically exact elimination of the dynamics of the free non-interacting motion outside the scattering region, giving rise to transparent boundary conditions, clearly confirms the accuracy and efficiency of the smooth exterior complex scaling method.
9 pages, 6 figures
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- A study of one-dimensional transport of Bose-Einstein condensates using exterior complex scaling
Cited by in corpus (8)
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- Elastic and inelastic transmission in guided atom lasers: a truncated Wigner approach
- A study of one-dimensional transport of Bose-Einstein condensates using exterior complex scaling
- Eliminating artificial boundary conditions in time-dependent density functional theory using Fourier contour deformation
- Al'tshuler-Aronov-Spivak oscillations of bosonic matter-wave beams in the presence of interaction
- Inversion of coherent backscattering with interacting Bose-Einstein condensates in two-dimensional disorder : a Truncated Wigner approach