Schematic baryon models, their tight binding description and their microwave realization

Abstract

A schematic model for baryon excitations is presented in terms of a symmetric Dirac gyroscope, a relativistic model solvable in closed form, that reduces to a rotor in the non-relativistic limit. The model is then mapped on a nearest neighbour tight binding model. In its simplest one-dimensional form this model yields a finite equidistant spectrum. This is experimentally implemented as a chain of dielectric resonators under conditions where their coupling is evanescent and good agreement with the prediction is achieved.

17 pages, 15 figures

References in corpus (7)

• First experimental realization of the Dirac oscillator
• Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene
• Tight-binding couplings in microwave artificial graphene
• Enhancement of localization in one-dimensional random potentials with long-range correlations
• Dirac Point and Edge States in a Microwave Realization of Tight-Binding Graphene-like Structures
• Playing relativistic billiards beyond graphene
• Phase-space correlations of chaotic eigenstates

Cited by in corpus (6)

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• Microwave emulations and tight-binding calculations of transport in polyacetylene
• Fundamental constraints on two-time physics
• Inverse lattice design and its application to bent waveguides
• Stern-Gerlach splitters for lattice quasispin
• Transparent lattices and their solitary waves