Non-Markovian dynamics of a qubit on the zigzag edge of photonic graphene

• URL: http://arxiv.org/abs/2609.08382v1
• Date: Tue, 08 Sep 2026 07:53:00 GMT
• Title: Non-Markovian dynamics of a qubit on the zigzag edge of photonic graphene
• Abstract summary: We map the spectrum of qubit-photon bound states and complex poles to uncover the long-time scaling laws of the qubit population.<n>The presence of a zero-energy flat band connecting the Dirac points suppresses long-time branch-cut-induced tails, instead driving damped Rabi oscillations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: We present an analytical study of the dynamics of a qubit coupled to the zigzag edge of a photonic honeycomb lattice. Leveraging a resolvent operator approach and exact lattice Green's functions, we map the spectrum of qubit-photon bound states and complex poles to uncover the long-time scaling laws of the qubit population. Unlike a qubit coupled to the bulk of graphene, the presence of a zero-energy flat band connecting the Dirac points suppresses long-time branch-cut-induced tails, instead driving damped Rabi oscillations. Potential experimental platforms are briefly discussed.

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