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Gradient Echo Quantum Memory in Warm Atomic Vapor
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Defining the Semiclassical Limit of the Quantum Rabi Hamiltonian.

E K Irish1, A D Armour2

  • 1School of Physics and Astronomy, University of Southampton, Highfield, Southampton SO17 1BJ, United Kingdom.

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|November 14, 2022
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Summary

Researchers developed a new method to rigorously derive the semiclassical Rabi model from quantum mechanics. This work clarifies the quantum-to-semiclassical transition in light-matter interactions for quantum technologies.

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Area of Science:

  • Quantum Optics
  • Quantum Mechanics
  • Light-Matter Interactions

Background:

  • The seminal Rabi model describes light-matter interactions but lacks a complete quantum-to-semiclassical transition understanding.
  • Discrepancies exist between coherent-state dynamics and semiclassical Rabi oscillations.

Purpose of the Study:

  • To develop a rigorous formalism for deriving the semiclassical Rabi model directly from its quantum Hamiltonian.
  • To resolve the discrepancy between quantum and semiclassical descriptions in various coupling regimes.

Main Methods:

  • Utilizing a displaced Fock-state basis |α,n⟩.
  • Obtaining the semiclassical limit by taking |α|→∞ and coupling to zero.

Main Results:

  • A formalism is established for the direct derivation of the semiclassical Rabi model from quantum mechanics.
  • The quantum-to-semiclassical transition is clarified across standard and ultrastrong coupling regimes.
  • The discrepancy between coherent-state dynamics and semiclassical Rabi oscillations is resolved.

Conclusions:

  • The developed formalism provides a rigorous framework for studying the quantum-to-semiclassical transition.
  • This research has potential applications in advancing quantum technologies and understanding fundamental light-matter interactions.