Quantum light-matter interactions in structured waveguides

• URL: http://arxiv.org/abs/2304.13306v1
• Date: Wed, 26 Apr 2023 06:17:35 GMT
• Title: Quantum light-matter interactions in structured waveguides
• Authors: Rupak Bag and Dibyendu Roy
• Abstract summary: We explore special features of quantum light-matter interactions inside structured waveguides due to their finite bandwidth, band edges, and non-trivial topological properties. We study single-photon dynamics in a heterojunction of a long TB and short SSH waveguide connected to a 2LE at the SSH end.
• Score: 1.6295305195753724
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We explore special features of quantum light-matter interactions inside structured waveguides due to their finite bandwidth, band edges, and non-trivial topological properties. We model the waveguides as either a tight-binding (TB) chain or a Su-Schrieffer-Heeger (SSH) chain. For unstructured waveguides with infinite bandwidth, the transmission and reflection amplitude of a side-coupled two-level emitter (2LE) are the same as the reflection and transmission amplitude of a direct-coupled 2LE. We show that this analogy breaks down for structured waveguides with finite bandwidth due to the appearance of Lamb shift only for the direct-coupled 2LE. We further predict a robust light-emitter coupling at zero collective decay width of a single giant 2LE (with two couplings at different points) near the band edges of the structured waveguides where topological features can be beneficial. Finally, we study single-photon dynamics in a heterojunction of a long TB and short SSH waveguide connected to a 2LE at the SSH end. We show the propagation of a photon from the excited emitter to the TB waveguide only when the SSH waveguide is in the topological phase. Thus, the heterojunction acts as a quantum switch or conditional propagation channel.

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