Bound States in Sharply Bent Waveguides: Analytical and Experimental Approach

Abstract

Quantum wires and electromagnetic waveguides possess common features since their physics is described by the same wave equation. We exploit this analogy to investigate experimentally with microwave waveguides and theoretically with the help of an effective potential approach the occurrence of bound states in sharply bent quantum wires. In particular, we compute the bound states, study the features of the transition from a bound to an unbound state caused by the variation of the bending angle and determine the critical bending angles at which such a transition takes place. The predictions are confirmed by calculations based on a conventional numerical method as well as experimental measurements of the spectra and electric field intensity distributions of electromagnetic waveguides.

References in corpus (13)

• Random Matrices and Chaos in Nuclear Physics: Nuclear Reactions
• Quantum Chaotic Scattering in Microwave Resonators
• Classical wave experiments on chaotic scattering
• First Experimental Observation of Superscars in a Pseudointegrable Barrier Billiard
• Fidelity amplitude of the scattering matrix in microwave cavities
• Multiple bound states in scissor-shaped waveguides
• Quantum anti-centrifugal force
• First experimental evidence for quantum echoes in scattering systems
• R-matrix theory of driven electromagnetic cavities
• Trapped modes in finite quantum waveguides
• Unusual bound or localized states
• Bound states in open coupled asymmetrical waveguides and quantum wires
• Conformal Mapping and Bound States in Bent Waveguides

Cited by in corpus (13)

• Subwavelength edge detection through trapped resonances in waveguides
• Bent waveguides for matter-waves: supersymmetric potentials and reflectionless geometries
• Nonadiabatic couplings and gauge-theoretical structure of curved quantum waveguides
• Quantum single-particle properties in a one-dimensional curved space
• Experimental study of closed and open microwave waveguide graphs with preserved and partially violated time-reversal invariance
• Fundamental constraints on two-time physics
• Inverse lattice design and its application to bent waveguides
• Eigenfunction and eigenmode-spacing statistics in chaotic photonic crystal graphs
• Closed and open superconducting microwave waveguide networks as a model for quantum graphs
• Weakly bound states in heterogeneous waveguides
• Self-similar analogues of Stark ladders: a path to fractal potentials
• Dynamics and transport of Bose-Einstein condensates in bent potentials
• Emulating tightly bound electrons in crystalline solids using mechanical waves