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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Generalized Born-Huang expansion under macroscopic quantum electrodynamics framework.

Hung-Sheng Tsai^1,2, Chih-En Shen^1,2, Liang-Yan Hsu^1,2,3

¹Department of Chemistry, National Taiwan University, Taipei 10617, Taiwan.

The Journal of Chemical Physics

|April 10, 2024

Summary

We developed a generalized Born-Huang expansion theory using macroscopic quantum electrodynamics to study molecules interacting with quantum light. This new framework incorporates polaritons into non-adiabatic couplings (NACs) for a deeper understanding of light-matter interactions.

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Area of Science:

Theoretical Chemistry
Quantum Electrodynamics
Spectroscopy

Background:

The Born-Huang expansion is crucial for studying molecular potential energy surfaces and non-adiabatic couplings (NACs).
Traditional methods struggle to describe systems strongly interacting with quantum light, such as molecules in dielectric media.
Macroscopic quantum electrodynamics (QED) offers a framework to model these interactions.

Purpose of the Study:

To develop a generalized Born-Huang expansion theory within a macroscopic QED framework.
To incorporate the effects of dressed photons (polaritons) into NACs.
To provide a theoretical tool for understanding molecules coupled with quantum light.

Main Methods:

Developed a generalized Born-Huang expansion theory.
Integrated macroscopic QED to account for vacuum fluctuations and polaritons.
Classified electronic nuclear NACs, polaritonic nuclear NACs, and polaritonic electronic NACs.

Main Results:

Successfully incorporated polaritons into NACs, enabling the study of light-matter interactions.
Estimated polaritonic electronic NACs without free parameters, showing distance dependence in a silver planar system.
Derived spontaneous emission rates from photonic electronic NACs for a hydrogen atom.

Conclusions:

The generalized Born-Huang expansion within macroscopic QED provides a robust framework for studying coupled nucleus-electron-polariton systems.
This approach offers a more comprehensive understanding of non-adiabatic couplings in molecules interacting with quantum light.
The presented theory paves the way for exploring complex light-matter interactions in molecular systems.