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Related Experiment Video

Updated: May 13, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Cavity quantum electrodynamics ring coupled cluster and the random phase approximation.

A Eugene DePrince¹, Stephen H Yuwono¹, Henk Eshuis²

¹Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, USA.

The Journal of Chemical Physics

|May 12, 2026

Summary

This summary is machine-generated.

The study shows that Random Phase Approximation (RPA) and Coupled Cluster Doubles (CCD) models yield equivalent ground-state correlation energy in cavity Quantum Electrodynamics (QED). This equivalence holds for QED-RPA and a QED ring-CCD model.

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Area of Science:

Quantum Chemistry
Quantum Electrodynamics
Computational Physics

Background:

The ground-state correlation energy from the particle-hole channel of the Random Phase Approximation (RPA) is formally equivalent to a simplified Coupled Cluster Doubles (CCD) model.
This equivalence is based on ring-diagram contributions in the residual equations.

Purpose of the Study:

To generalize the analytic equivalence between RPA and CCD to the cavity Quantum Electrodynamics (QED) framework.
To demonstrate the numerical equivalence of QED-RPA and a QED ring-CCD model.

Main Methods:

Generalization of analytic results from standard quantum chemistry to cavity QED.
Numerical demonstration of equivalence between QED-RPA and a QED ring-CCD model.

Main Results:

The study establishes the formal equivalence between QED-RPA and a QED ring-CCD model.
The QED ring-CCD model accounts for double electron excitations, coupled single-electron/single-photon excitations, and double-photon creation.

Conclusions:

The findings extend the known RPA-CCD equivalence to the domain of cavity QED.
This provides a valuable connection between different theoretical models for describing quantum electrodynamic systems.