Geometric optics of Bloch waves in a chiral and dissipative medium
Open accessAbstract
We present a geometric optics theory for the transport of quantum particles (or classical waves) in a chiral and dissipative periodic crystal subject to slowly varying perturbations in space and time. Taking account of some properties of particles and media neglected in previous theory, we find important additional terms in the equations of motion of particles. The (energy) current density field, which traces the geometric optics rays, is not only governed by the Bloch band energy dispersion but also involves there additional fields. These are the angular momentum of the particle, the dissipation dipole density, and various geometric gauge fields in the extended phase space spanned by space time and its reciprocal, momentum, and frequency. For simplicity, the theory is presented using light propagation in photonic crystals.
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The centre-of-energy velocity of the wave packet contains an anomalous contribution proportional to the Berry curvature of the band, and this contribution is responsible for various Hall effects.
“Based on the semi-classic equations of motion for wave packet propagation in the presence of Berry curvature1,19,20,33,34, the centre-of-energy velocity of the wave packet contains an ‘anomalous’ contribution proportional to the Berry curvature of the band, and this contribution is responsible for various Hall effects1,19,33.”
From Photonic Hall effect and helical Zitterbewegung in a synthetic Weyl system (2019) · cites this paper as [20]
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Photonic Hall effect and helical Zitterbewegung in a synthetic Weyl system
Ye, W., Liu, Y., Liu, J., Horsley, S. A. R., Wen, S., & Zhang, S. (2019) · Light: Science & Applications · doi:10.1038/s41377-019-0160-z · Cited by 31 · see citing works
- Authors
- Zhang, C., & Niu, Q.
- Affiliations
- Washington State University (US)
- The University of Texas at Austin (US)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2010-05-03
- Volume
- 81
- Issue
- 5
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2165723769
- Cited by
- 16
- References
- 0
- Citations by year
- 2026: 2 · 2019: 2 · 2018: 1 · 2017: 1 · 2016: 1 · 2015: 2 · 2013: 1 · 2012: 3
- FWCI
- 1.20
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Photonic Crystals and Applications
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Keywords
- geometrical optics, Bloch waves, chiral media, lossy media, periodic crystals, angular momentum, extended phase space, photonic crystals, light propagation, equations of motion
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