Photonic realization of the relativistic Dirac oscillator

Abstract

A photonic realization of the Dirac oscillator (DO), i.e. of the relativistic extension of the quantum harmonic oscillator, is proposed for light propagation in fiber Bragg gratings. Transmission spectra clearly show the existence of electron and positron bound states of the DO, corresponding to resonance modes above and below the Bragg frequency, as well as the asymmetry of the energy spectrum for electron and positron branches.

References in corpus (9)

• Quantum interference and Klein tunneling in graphene heterojunctions
• Evidence of Klein tunneling in graphene p-n junctions
• Quantum simulation of the Dirac equation
• Observing Zitterbewegung for photons near the Dirac point of a two-dimensional photonic crystal
• Extremal transmission at the Dirac point of a photonic band structure
• Exact Mapping of the 2+1 Dirac Oscillator onto the Jaynes-Cummings Model: Ion-Trap Experimental Proposal
• The Dirac Oscillator. A relativistic version of the Jaynes--Cummings model
• Relativistic quantum mechanics of a Dirac oscillator
• Non-relativistic limit in the 2+1 Dirac Oscillator: A Ramsey Interferometry Effect

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• Experimental Realization of a Relativistic Harmonic Oscillator
• Supersymmetric Bragg gratings
• Pseudo Hermitian Generalized Dirac Oscillators
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• Generalized Dirac Oscillators with position-dependent mass
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• Mapping of the 2+1 q-deformed Dirac oscillator onto the q-deformed Jaynes-Cummings model: It's non-relativistic limit and Zitterbewegung effect
• $1+1$-dimensional Dirac oscillator with deformed algebra with minimal uncertainty in position and maximal in momentum
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• Relativistic Measurement Backaction in the Quantum Dirac Oscillator
• Transparent lattices and their solitary waves