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August 31, 2026Annalen der PhysikOpen Access

Quantum Limits to Linewidth Narrowing in Single‐ and Few‐Atom Cavity Electromagnetically Induced Transparency

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Authors

LSLucas R. S. SantosMOMurilo Henrique de OliveiraLSLuiz O. R. Solak

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Overview

Theoretical modeling reveals quantum bounds on linewidth narrowing in few-atom cavity systems, indicating that multiphoton blockade is essential for optimizing narrow optical filters.

Key Points

  • To identify and analyze the fundamental quantum limits constraining resonance linewidth narrowing in cavity electromagnetically induced transparency from single- to few-atom regimes.
  • Formulated a Lindblad master equation for identical three-level atoms coupled to a single cavity mode driven by coherent probe and control fields.
  • Calculated the full width at half maximum of the transmission feature across varying probe drives and atom numbers, contrasting fully quantum dynamics with semiclassical approximations.
  • Derived an analytical cubic polynomial describing linewidth narrowing in the strictly low-excitation limit that reproduces linear-response scaling.
  • Showed that finite probe powers establish a strict quantum bound on achievable linewidth due to unavoidable transitions into lossy multiphoton states that degrade the dark state.
  • Found that increasing atom number enhances collective cooperativity, generating a multiphoton blockade that suppresses unwanted excitations and reduces minimum linewidth in a stepwise manner.

Cite This Study

Santos et al. (2026) studied this question.

synapsesocial.com/papers/6a95427bf20e493292a74cfbhttps://doi.org/10.1002/andp.70283
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