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Exact solution of polaritonic systems with arbitrary light and matter frequency-dependent losses.

The Journal of chemical physics·2022

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Polaritonic quantization in nonlocal polar materials.

Christopher R Gubbin¹, Simone De Liberato¹

¹Department of Physics and Astronomy, University of Southampton, Southampton, United Kingdom.

The Journal of Chemical Physics

|January 16, 2022

Summary

This study develops a second-quantized theory for longitudinal-transverse polaritons, revealing how nonlocality enhances light-matter interactions. These findings offer new possibilities for mid-infrared sensing applications.

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Area of Science:

Solid-state physics
Quantum optics
Materials science

Background:

Polar dielectric materials exhibit unique optical properties in the Reststrahlen region.
Surface phonon polaritons arise from strong light-matter interactions.
Nanoscale polar elements can lead to longitudinal-transverse polaritons due to material dispersion.

Purpose of the Study:

To develop a full second-quantized theory for longitudinal-transverse polaritons.
To investigate the role of nonlocality in polariton behavior.
To explore potential applications in mid-infrared sensing.

Main Methods:

Formulation of a second-quantized Hamiltonian for the light-matter system.
Inclusion of elastic free energy to account for lattice distortion.
Diagonalization of the Hamiltonian and quantization of nonlocal operators.

Main Results:

Demonstration of polariton equations of motion equivalent to macroscopic electromagnetism.
Reconstruction of electromagnetic fields from polariton states.
Exploration of polariton-enhanced Purcell factor for near-field emission.

Conclusions:

Nonlocality in polaritons can narrow, enhance, and spectrally tune near-field emission.
The developed theory provides a framework for understanding complex light-matter interactions.
Potential applications include advanced mid-infrared sensing technologies.