Entropy bounds in nonlinear quantum nanooptics

TL;DR

This paper derives entropy bounds in nonlinear quantum nanooptics for metal nanoparticles and dielectric microdroplets, relating them to surface plasmon resonance and effective Planck lengths, similar to black hole entropy bounds.

Contribution

It introduces a novel approach to calculating entropy bounds in nonlinear nanooptics, connecting optical properties with fundamental quantum limits.

Findings

Entropy bounds depend on droplet perimeter and nanoparticle area.

Bounds are expressed as ratios involving effective Planck lengths.

Results are analogous to black hole entropy formulas.

Abstract

Optical entropy bounds for metal nanoparticles immersed in nonlinear optical media and for nonlinear dielectric microdroplets on metal surfaces are calculated near the frequency of the surface plasmon resonance. Similar to the Bekenstein-Hawking result for the black hole entropy, the entropy bounds in nonlinear quantum nanooptics may be expressed as the ratios of the droplet perimeter (nanoparticle area) to the effective Planck length (effective Planck length squared).