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We show that a mixed quantum-classical approach accurately simulates quantum Rabi oscillations. This method, applied to the quantum Rabi model, yields persistent, anharmonic oscillations, offering insights for quantum dynamics simulations.

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Area of Science:

  • Quantum mechanics
  • Quantum optics
  • Computational physics

Background:

  • The quantum Rabi model describes light-matter interactions.
  • Mixed quantum-classical (MQC) methods offer computational advantages for quantum systems.
  • Accurate simulation of quantum dynamics is crucial for understanding light-matter interactions.

Purpose of the Study:

  • To investigate the validity of a mixed quantum-classical (MQC) approach for the quantum Rabi model.
  • To analytically derive the dynamics of the coupled quantum-classical system.
  • To assess the accuracy of MQC simulations in the single-quantum limit.

Main Methods:

  • Application of a mixed quantum-classical (MQC) approach.
  • Self-consistent coupling of a classical optical field to a quantum two-level system.
  • Analytical derivation under the rotating wave approximation.

Main Results:

  • The MQC approach yields persistent, anharmonic Rabi oscillations.
  • These oscillations are governed by an undamped and unforced Duffing equation.
  • In the single-quantum limit, MQC results closely match full-quantum results when zero-point energy is considered.

Conclusions:

  • The MQC approach is a viable method for simulating the quantum Rabi model, particularly for small quantum numbers.
  • The derived Duffing equation provides an analytical description of the observed anharmonic Rabi oscillations.
  • Findings guide the application of MQC dynamics in regimes relevant to quantum information and quantum optics.