Photonic realization of the relativistic Dirac oscillator
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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.
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Several recent works have shown that optical structures in media with a complex refractive index can provide an experimentally accessible test bed to simulate in a purely classical setting non-Hermitian features rooted in the non-relativistic Schrödinger equation with a complex potential.
“Several recent works have shown that optical structures in media with a complex refractive index can provide an experimentally accessible test bed to simulate in a purely classical setting non-Hermitian features rooted in the non-relativistic Schr¨ odinger equation with a complex potential [91,92,90,93,94,95,96].”
From Classical simulation of relativistic quantum mechanics in periodic optical structures (2011) · cites this paper as [95]
The paper’s introduction and proposed setup describe an accessible classical optical analogue using fiber Bragg gratings. But the analogue is of the relativistic Dirac oscillator; the paper describes its nonrelativistic limit as a Schrödinger equation with a quadratic potential, not a study of non-Hermitian features of a Schrödinger equation with a complex potential. The relevant passages in our copy have no page labels. (LLM, conf=0.85)
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References 24 · Cited by 49
Research works printed but not linked: 1
- [8]8. W. Greiner, Relativistic Quantum Mechanics (Springer-Verlag, Berlin, 1990).
- Authors
- Longhi, S.
- Affiliations
- Politecnico di Milano (IT)
- Corresponding author
- Longhi, S.
- ORCID
- Longhi, S.
- Venue
- Optics Letters
- Publisher
- Optica Publishing Group
- Published
- 2010-04-15
- Volume
- 35
- Issue
- 8
- Pages
- 1302
- ISSN
- 0146-9592 (ISSN-L)
- 1539-4794
- OpenAlex
- W2086749336
- Cited by
- 49
- References
- 24
- Citations by year
- 2026: 3 · 2025: 2 · 2024: 2 · 2023: 1 · 2022: 1 · 2021: 6 · 2020: 6 · 2019: 6 · 2018: 4 · 2017: 1 · 2015: 4 · 2014: 6 · 2013: 3 · 2012: 1
- FWCI
- 1.20
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Optics Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- MIUR (2008)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Orbital Angular Momentum in Optics
- Keywords
- Dirac oscillator, relativistic quantum mechanics, fiber Bragg grating, bound states, transmission spectra, resonant modes, Dirac equation
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