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.

6 pages, 4 figures

References in corpus (9)

• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• Supersymmetric mode converters
• Cold atom confinement in an all-optical dark ring trap
• A quasi-monomode guided atom-laser from an all-optical Bose-Einstein condensate
• One-dimensional description of a Bose-Einstein condensate in a rotating closed-loop waveguide
• Microwave guiding of electrons on a chip
• Demonstration of an inductively coupled ring trap for cold atoms
• Bound States in Sharply Bent Waveguides: Analytical and Experimental Approach
• Exact propagators for SUSY partners

Cited by in corpus (19)

• Atomtronic circuits: from many-body physics to quantum technologies
• Low-dimensional quantum gases in curved geometries
• Quantum mechanics of a constrained particle and the problem of prescribed geometry-induced potential
• Quantum motion of a point particle in the presence of the Aharonov--Bohm potential in curved space
• Geometric effects resulting from square and circular confinements for a particle constrained to a space curve
• Quantum control beyond the adiabatic regime in 2D curved matter-wave guides
• Bose-Einstein condensate in an elliptical waveguide
• Schrödinger formalism for a particle constrained to a surface in ${\mathbb{R}}_1^3$
• Quantum Vortices in Curved Geometries
• Quantum single-particle properties in a one-dimensional curved space
• Supersymmetric correspondence in spectra on a graph and its line graph: From circuit theory to spoof plasmons on metallic lattices
• Implementing supersymmetric dynamics in ultracold atom systems
• Linear and nonlinear dynamics of isospectral granular chains
• Dispersion Managed Elliptical Atomtronics for Interferometry
• Quantum Mechanics of Particles Constrained to Spiral Curves with Application to Polyene Chains
• Dynamics and transport of Bose-Einstein condensates in bent potentials
• Quantum control and quantum speed limits in supersymmetric potentials
• Exactly solvable model for transmission line with artificial dispersion
• Controlled acoustic-driven vortex transport in coupled superfluid rings