Controllable Single Photon Scattering via Coupling of Driven $Λ$ System with Topological Waveguide

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Main Authors: Yadav, Gunjan, Mahana, Madan Mohan, Dey, Tarak Nath
Format: Preprint
Published: 2025
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author Yadav, Gunjan
Mahana, Madan Mohan
Dey, Tarak Nath
author_facet Yadav, Gunjan
Mahana, Madan Mohan
Dey, Tarak Nath
contents We investigate the coherent single photon scattering process in a topological waveguide coupled with a driven $Λ$ system. We derive an analytical expression for transmittance by using the scattering formalism for three different sublattice sites (A, B, and AB), which couples to the $Λ$ system. We have demonstrated that the system's response is topology-independent for A and B sublattice-site coupling and becomes topology-dependent for AB sublattice-site coupling. In a weak control field regime, the system behaves as a perfect mirror in all of these configurations. Upon the control field strength enhancement, the transmission spectrum evolves from Electromagnetically Induced Transparency (EIT) to Autler-Townes splitting (ATS) in A and B sublattice-site coupling. The manipulation of transmission from opaque to transparent holds the key mechanism of a single photon switch. Further, the topology-dependent AB sublattice configuration allows the sharper Fano line shape that is absent in topology-independent A and B sublattice configurations. This characteristic of the Fano line can be used as a tunable single-photon switch and for sensing external perturbations. Furthermore, our study paves the way for the robustness and tunability of systems with applications in quantum technologies such as quantum switches, sensors, and communication devices.
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id arxiv_https___arxiv_org_abs_2503_17058
institution arXiv
publishDate 2025
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spellingShingle Controllable Single Photon Scattering via Coupling of Driven $Λ$ System with Topological Waveguide
Yadav, Gunjan
Mahana, Madan Mohan
Dey, Tarak Nath
Quantum Physics
We investigate the coherent single photon scattering process in a topological waveguide coupled with a driven $Λ$ system. We derive an analytical expression for transmittance by using the scattering formalism for three different sublattice sites (A, B, and AB), which couples to the $Λ$ system. We have demonstrated that the system's response is topology-independent for A and B sublattice-site coupling and becomes topology-dependent for AB sublattice-site coupling. In a weak control field regime, the system behaves as a perfect mirror in all of these configurations. Upon the control field strength enhancement, the transmission spectrum evolves from Electromagnetically Induced Transparency (EIT) to Autler-Townes splitting (ATS) in A and B sublattice-site coupling. The manipulation of transmission from opaque to transparent holds the key mechanism of a single photon switch. Further, the topology-dependent AB sublattice configuration allows the sharper Fano line shape that is absent in topology-independent A and B sublattice configurations. This characteristic of the Fano line can be used as a tunable single-photon switch and for sensing external perturbations. Furthermore, our study paves the way for the robustness and tunability of systems with applications in quantum technologies such as quantum switches, sensors, and communication devices.
title Controllable Single Photon Scattering via Coupling of Driven $Λ$ System with Topological Waveguide
topic Quantum Physics
url https://arxiv.org/abs/2503.17058