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

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.

Quantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

arXiv:2609.08382 [quant-ph]

(or arXiv:2609.08382v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.08382 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

https://doi.org/10.1393/ncc/i2026-26171-7 Focus to learn more DOI(s) linking to related resources

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