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Updated: Jun 12, 2025
09:23
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
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Mixed quantum-classical dynamics yields anharmonic Rabi oscillations.
Ming-Hsiu Hsieh1, Roel Tempelaar1
1Department of Chemistry, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208, USA.
The Journal of Chemical Physics
|June 11, 2025
Summary
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.
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.
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