title: Bent waveguides for matter-waves: supersymmetric potentials and reflectionless geometries.
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.
authors.affiliation: 1] Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA [2] Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA.
authors.forename: Adolfo
authors.initials: A
authors.lastname: del Campo
authors.affiliation: Physics Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA.
authors.forename: Malcolm G
authors.initials: MG
authors.lastname: Boshier
authors.affiliation: 1] Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA [2] Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA.
authors.forename: Avadh
authors.initials: A
authors.lastname: Saxena