Topological inverse band theory in waveguide quantum electrodynamics
- URL: http://arxiv.org/abs/2301.05481v3
- Date: Fri, 25 Aug 2023 02:11:41 GMT
- Title: Topological inverse band theory in waveguide quantum electrodynamics
- Authors: Yongguan Ke, Jiaxuan Huang, Wenjie Liu, Yuri Kivshar, Chaohong Lee
- Abstract summary: Topological phases play a crucial role in the fundamental physics of light-matter interaction and emerging applications of quantum technologies.
Here, we introduce a concept of the inverse energy band and explore analytically topological scattering in a waveguide with an array of quantum emitters.
- Score: 1.6036148576537623
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Topological phases play a crucial role in the fundamental physics of
light-matter interaction and emerging applications of quantum technologies.
However, the topological band theory of waveguide QED systems is known to break
down, because the energy bands become disconnected. Here, we introduce a
concept of the inverse energy band and explore analytically topological
scattering in a waveguide with an array of quantum emitters. We uncover a rich
structure of topological phase transitions, symmetric scale-free localization,
completely flat bands, and the corresponding dark Wannier states. Although
bulk-edge correspondence is partially broken because of radiative decay, we
prove analytically that the scale-free localized states are distributed in a
single inverse energy band in the topological phase and in two inverse bands in
the trivial phase. Surprisingly, the winding number of the scattering textures
depends on both the topological phase of inverse subradiant band and the
odevity of the cell number. Our work uncovers the field of the topological
inverse bands, and it brings a novel vision to topological phases in
light-matter interactions.
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