Collective Effects of Organic Molecules based on Holstein-Tavis-Cummings Model

TL;DR

This paper investigates the collective optical effects of organic molecules in a cavity using the Holstein-Tavis-Cummings model, deriving analytical expressions for spectra and exploring applications in ultra-cold molecule detection.

Contribution

It introduces an analytical approach to study collective molecular effects in cavities and demonstrates potential for ultra-cold molecule detection.

Findings

Analytical expression for cavity transmission spectrum.

Frequency shift of polaritonic states depends on molecule number.

Spectral profile variations reveal molecular conformation changes.

Abstract

We study the collective effects of an ensemble of organic molecules confined in an optical cavity based on Holstein-Tavis-Cummings model. By using the quantum Langevin approach and adiabatically eliminating the degree of freedom of the vibrational motion, we analytically obtain the expression of the cavity transmission spectrum to analyze the features of polaritonic states. As an application, we show that the dependence for the frequency shift of the lower polaritonic state on the number of molecules can be used in the detection of the ultra-cold molecules. We also numerically analyze the fluorescence spectrum. The variation of the spectral profile with various numbers of molecules gives signatures for the modification of molecular conformation.