Photonic Bound States and Scattering Resonances in Waveguide QED
- URL: http://arxiv.org/abs/2110.06093v1
- Date: Tue, 12 Oct 2021 15:42:24 GMT
- Title: Photonic Bound States and Scattering Resonances in Waveguide QED
- Authors: Bastian Bakkensen, Yu-Xiang Zhang, Johannes Bjerlin, Anders
S{\o}ndberg S{\o}rensen
- Abstract summary: We study the emergence of two types of two-photon bounds states in waveguides of any chirality.
We use an effective Hamiltonian approach to determine the properties of the two-photon bound states.
- Score: 6.422921106366847
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the emergence of two types of two-photon bounds states in waveguides
of any chirality. Specifically, we present a systematic way of analytically
determining the eigenstates of a system consisting of a waveguide coupled to a
partially chiral, infinite array of equidistant two-level emitters. Using an
effective Hamiltonian approach, we determine the properties of the two-photon
bound states by determining their dispersion relation and internal structure.
The bound states come in two varieties, depending on the two-photon momentum
and emitter spacing. One of these states is a long-lived true bound state,
whereas the other, a scattering resonance, decays in time via coupling to free
two-photon states, leading to resonances and corresponding phase shifts in the
photon-photon scattering.
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