From flat to narrow bands: Engineering quantum emission in a one-dimensional Lieb lattice

• URL: http://arxiv.org/abs/2605.06296v1
• Date: Thu, 07 May 2026 14:00:55 GMT
• Title: From flat to narrow bands: Engineering quantum emission in a one-dimensional Lieb lattice
• Abstract summary: We develop a theoretical framework that unifies quantum emission dynamics in one-dimensional Lieb lattices.<n>Our work provides a unified framework that connects idealized flat-band physics to emerging narrow-band platforms.
• Score: 18.256374797742644
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We develop a comprehensive theoretical framework that unifies quantum emission dynamics in one-dimensional Lieb lattices, bridging the gap between ideal flat-band coherence and realistic narrow-band dissipation. By coupling an emitter to sublattices with finite flat-band wavefunction overlap, we activate a collective, size-independent interaction fundamentally distinct from dispersive-band processes. Controllably breaking lattice symmetry transforms the flat band into a narrow dispersive band, enabling a continuous crossover from non-Markovian to Markovian dynamics governed by the competition between coupling strength and engineered bandwidth. Crucially, we derive explicit scaling laws that provide a quantitative blueprint for tuning spontaneous emission from coherent trapping to Markovian decay. Our work provides a unified framework that connects idealized flat-band physics to emerging narrow-band platforms such as moir$\rm\acute{e}$ photonic crystals, offering a practical toolkit for interpreting experiments and engineering quantum emission in structured photonic environments.

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