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Updated: Jan 16, 2026

Correlative Light- and Electron Microscopy Using Quantum Dot Nanoparticles
Published on: August 7, 2016
Light-Matter Correlation Energy Functional of the Cavity-Coupled Two-Dimensional Electron Gas via Quantum Monte Carlo
Lukas Weber1,2, Miguel A Morales1, Johannes Flick1,3,4
1The Flatiron Institute, Center for Computational Quantum Physics, 162 Fifth Avenue, New York, New York 10010, USA.
None:
We perform extensive simulations of the two-dimensional cavity-coupled electron gas in a modulating potential as a minimal model for cavity quantum materials. These simulations are enabled by a newly developed quantum-electrodynamical (QED) auxiliary-field quantum Monte Carlo method. We present a procedure to greatly reduce finite-size effects in such calculations. Based on our results, we show that a modified version of weak-coupling perturbation theory is remarkably accurate for a large parameter region. We further provide a simple parametrization of the light-matter correlation energy as a functional of the cavity parameters and the electronic density. These results provide a crucial step toward a numerical foundation for the development of the QED density functional theory, which was previously reliant on analytical approximations, to allow quantitative modeling of a wide range of systems with light-matter coupling.
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