Geometric optics of Bloch waves in a chiral and dissipative medium
arXiv:0904.1985 · doi:10.1103/PhysRevA.81.053803
Abstract
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.
6 pages, one figure, expanded version, to appear in PRA
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Cited by in corpus (10)
- Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
- Theoretical prediction of rotating magnon wavepacket in ferromagnets
- Topological chiral magnonic edge mode in a magnonic crystal
- Rotational motion of magnon and thermal Hall effect
- Thermal Hall Effect Induced by Magnon-Phonon Interactions
- Excitation band topology and edge matter waves in Bose-Einstein condensates in optical lattices
- Frequency Domain Berry Curvature Effect on Time Refraction
- Peano modes at the D=2 delocalization transition
- Experimental demonstration of photonic quantum ratchet
- Fine Structures of Berry Curvature and Unquantized Valley Chern Numbers in Valley Photonic Crystals