Comparison between two models of absorption of matter waves by a thin time-dependent barrier
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We report a quantitative, analytical, and numerical comparison between two models of the interaction of a nonrelativistic 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 δ 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.
|Number of pages||14|
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|Publication status||Published - 30 Nov 2015|
Rights statement: Maximilien Barbier et al. 'Comparison between two models of absorption of matter waves by a thin time-dependent barrier.' Phys. Rev. A 92:5, 053630. © 2015 American Physical Society. All rights reserved.
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