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Open Quantum Systems Decoherence Quantum Simulation

Bent waveguides for matter-waves: supersymmetric potentials and reflectionless geometries

arXiv

Authors: Adolfo del Campo, Malcolm G. Boshier, Avadh Saxena

Year

2013

Paper ID

32012

Status

Preprint

Abstract Read

~2 min

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Abstract

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.

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Non-zero curvature in a waveguide leads to the appearance of an attractive quantum potential which crucially affects the dynamics in matter-wave circuits.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1311.2062 [2] arXiv https://arxiv.org/abs/1311.2062 [3] Publisher https://arxiv.org/abs/1311.2062

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