Cavity-induced topological edge and corner states
- URL: http://arxiv.org/abs/2309.01927v1
- Date: Tue, 5 Sep 2023 03:25:22 GMT
- Title: Cavity-induced topological edge and corner states
- Authors: Motohiko Ezawa
- Abstract summary: We investigate a two-level system with alternating XX coupling in a photon cavity.
Some intriguing topological phenomena emerge as a function of the photon coupling.
We analyze a cavity-induced topological edge state in the Su-Schrieffer-Heeger model and a cavity-induced topological corner state in the breathing Kagome model.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We investigate a two-level system with alternating XX coupling in a photon
cavity. It is mapped to a free boson model equally coupled to a photon, whose
interaction is highly nonlocal. Some intriguing topological phenomena emerge as
a function of the photon coupling. The photon energy level anticrosses the
zero-energy topological edges at a certain photon coupling, around which the
symmetric edge state acquires nonzero energy due to the mixing with the photon.
Furthermore, the photon state is transformed into the topological zero-energy
edge or corner state when the photon coupling is strong enough. It is a
cavity-induced topological edge or corner state. On the other hand, the other
topological edge or corner states do not couple with the photon and remains at
zero energy even in the presence of the cavity. We analyze a cavity-induced
topological edge state in the Su-Schrieffer-Heeger model and a cavity-induced
topological corner state in the breathing Kagome model.
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