Entanglement dynamics of Multi-Level Atoms embedded in Photonic Crystals: Leveraging Resonant Dipole Interactions and Quantum Interference

• URL: http://arxiv.org/abs/2505.18813v2
• Date: Fri, 11 Jul 2025 07:50:14 GMT
• Title: Entanglement dynamics of Multi-Level Atoms embedded in Photonic Crystals: Leveraging Resonant Dipole Interactions and Quantum Interference
• Authors: Nancy Ghangas, Shubhrangshu Dasgupta,
• Abstract summary: Investigation of entanglement dynamics in multi-level V-type atomic systems embedded within PC cavities.<n>Key findings reveal that resonant interaction dominates when interatomic distances align with the localization length of photon-atom bound states lying in the bandgap region.<n>Our analysis establishes RDDI and quantum interference as potential tools for controlling entanglement lifetimes in photonic crystal environments.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a comprehensive investigation of entanglement dynamics in multi-level V-type atomic systems embedded within PC cavities. We mainly focus on the synergistic roles of resonant dipole-dipole interactions and quantum interference through analytical modeling and numerical simulations using the Schrodinger equation. Key findings reveal that resonant interaction dominates when interatomic distances align with the localization length of photon-atom bound states lying in the bandgap region. The entanglement is preserved for extended times due to stronger RDDI, when dipoles of each atom are aligned parallel or anti-parallel for both quantum-correlated and separable initial states. For orthogonally oriented atomic dipoles, initially entangled states display a distinctive oscillatory entanglement behavior characterized by non-Markovian effects such as delayed feedback and entanglement revival. In contrast, initially separable states experience a more rapid decay of entanglement under these conditions. It is mainly driven by destructive interference between vacuum-mediated pathways and bandgap-engineered photonic density of states. We further demonstrate that positioning the atomic excited states deeper within the photonic bandgap accelerates the decay of entanglement oscillations due to the exponential suppression of resonant energy exchange mediated by evanescent modes. Our analysis establishes RDDI and quantum interference as potential tools for controlling entanglement lifetimes in photonic crystal environments, offering new strategies for engineered quantum coherence.

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