Comparison between two models of absorption of matter waves by a thin time-dependent barrier

Abstract

We report a quantitative, analytical and numerical, comparison between two models of the interaction of a non-relativistic quantum particle with a thin time-dependent absorbing barrier. The first model represents the barrier by a set of time-dependent discontinuous matching conditions, which are closely related to Kottler boundary conditions used in stationary wave optics as a mathematical basis for Kirchhoff diffraction theory. The second model mimics the absorbing barrier with an off-diagonal $\delta$-potential with a time-dependent amplitude. We show that the two models of absorption agree in their predictions in a semiclassical regime -- the regime readily accessible in modern experiments with ultracold atoms.

17 pages, 5 figures

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Cited by in corpus (2)

• Superradiance in a ghost-free scalar theory
• Phase-space representation of diffraction in time: Analytic results