Describing many-body bosonic waveguide scattering with the truncated Wigner method
arXiv:1502.02890 · doi:10.1002/andp.201500113
Abstract
We consider quasi-stationary scattering of interacting bosonic matter waves in one-dimensional waveguides, as they arise in guided atom lasers. We show how the truncated Wigner (tW) method, which corresponds to the semiclassical description of the bosonic many-body system on the level of the diagonal approximation, can be utilized in order to describe such many-body bosonic scattering processes. Special emphasis is put on the discretization of space at the exact quantum level, in order to properly implement the semiclassical approximation and the tW method, as well as on the discussion of the results to be obtained in the continuous limit.
9 pages, 3 figures
References in corpus (7)
- DMRG and periodic boundary conditions: a quantum information perspective
- Quantum corrections to the dynamics of interacting bosons: beyond the truncated Wigner approximation
- A quasi-monomode guided atom-laser from an all-optical Bose-Einstein condensate
- Nonlinear transport of Bose-Einstein condensates through mesoscopic waveguides
- Functional Wigner representation of BEC quantum dynamics
- Time-dependent Semiclassics for Ultracold Bosons
- Elastic and inelastic transmission in guided atom lasers: a truncated Wigner approach
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