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arXiv · 2609.08382

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

Enrico Di Benedetto
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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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Enrico Di Benedetto. 2026-09-08. Non-Markovian dynamics of a qubit on the zigzag edge of photonic graphene. https://doi.org/10.1393/ncc%2Fi2026-26171-7

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