Interaction between giant atoms in a one-dimensional topological
waveguide
- URL: http://arxiv.org/abs/2309.03663v2
- Date: Sun, 5 Nov 2023 07:36:02 GMT
- Title: Interaction between giant atoms in a one-dimensional topological
waveguide
- Authors: Da-Wei Wang, Chengsong Zhao, Junya Yang, Ye-Ting Yan, Zhihai-Wang Ling
Zhou
- Abstract summary: We consider giant atoms coupled to a one-dimensional topological waveguide reservoir.
In the bandgap regime, where the giant-atom frequency lies outside the band, we study the generation and distribution of giant atom-photon bound states.
In the band regime, the giant-atom frequency lies in the band, under the Born-Markov approximation, we obtained effective coherence and correlated dissipative interactions.
- Score: 8.661270166527038
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this paper, we consider giant atoms coupled to a one-dimensional
topological waveguide reservoir. We studied the following two cases.
In the bandgap regime, where the giant-atom frequency lies outside the band,
we study the generation and distribution of giant atom-photon bound states and
the difference between the topological waveguide in topological and trivial
phases. When the strengths of the giant atoms coupled to the two sub-lattice
points are equal, the photons distribution is symmetrical and the chiral photon
distribution is exhibited when the coupling is different. The coherent
interactions between giant atoms are induced by virtual photons, or can be
understood as an overlap of photon bound-state wave functions, and decay
exponentially with increasing distance between the giant atoms. We also find
that the coherent interactions induced by the topological phase are larger than
those induced by the trivial phase for the same bandgap width. In the band
regime, the giant-atom frequency lies in the band, under the Born-Markov
approximation, we obtained effective coherence and correlated dissipative
interactions between the giant atoms mediated by topological waveguide
reservoirs, which depend on the giant-atom coupling nodes.
We analyze the effect of the form of the giant-atom coupling point on the
decay, and on the associated dissipation. The results show that we can design
the coupling form as well as the frequency of the giant atoms to achieve zero
decay and correlation dissipation and non-zero coherent interactions. Finally
we used this scheme to realize the excitation transfer of giant atoms. Our work
will promote the study of topological matter coupled to giant atoms.
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