PreprintCC BY-SA 4.0arXiv
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.
Versions
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BibTeX
@misc{benedetto2026nonmarkovian,
title = {{Non-Markovian dynamics of a qubit on the zigzag edge of photonic graphene}},
author = {Enrico Di Benedetto},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.08382},
eprint = {2609.08382},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.08382},
note = {CC BY-SA 4.0},
}
RIS
TY - UNPB
TI - Non-Markovian dynamics of a qubit on the zigzag edge of photonic graphene
AU - Enrico Di Benedetto
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.08382
UR - https://arxiv.org/abs/2609.08382
AB - 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.
ER -