Bent waveguides for matter-waves: supersymmetric potentials and reflectionless geometries
| Autor: | Malcolm Boshier, Avadh Saxena, Adolfo del Campo |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Physics
Quantum Physics Multidisciplinary Scattering Bent molecular geometry Quantum potential FOS: Physical sciences Physics::Optics Mathematical Physics (math-ph) Curvature Article law.invention Isospectral Quantum Gases (cond-mat.quant-gas) law Quantum mechanics Matter wave Supersymmetric quantum mechanics Condensed Matter - Quantum Gases Quantum Physics (quant-ph) Waveguide Nonlinear Sciences::Pattern Formation and Solitons Mathematical Physics |
| Zdroj: | Scientific Reports |
| ISSN: | 2045-2322 |
| Popis: | Non-zero curvature in a waveguide leads to the appearance of an attractive quantum potential which crucially affects the dynamics in matter-wave circuits. Using methods of supersymmetric quantum mechanics, pairs of bent waveguides are found whose geometry-induced potentials share the same scattering properties. As a result, reflectionless waveguides, dual to the straight waveguide, are identified. Strictly isospectral waveguides are also found by modulating the depth of the trapping potential. Numerical simulations are used to demonstrate the efficiency of these approaches in tailoring and controlling curvature-induced quantum-mechanical effects. Comment: 6 pages, 4 figures |
| Databáze: | OpenAIRE |
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