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.
Original language | English |
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Article number | 053630 |
Number of pages | 14 |
Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
Volume | 92 |
Issue number | 5 |
DOIs | |
Publication status | Published - 30 Nov 2015 |
Documents
- PhysRevA.92.053630
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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