Multimode Phonon Cooling via Three Wave Parametric Interactions with Optical Fields

TL;DR

This paper explores a theoretical framework for cooling multiple phonon modes using three-wave mixing interactions with optical fields, accounting for diverse geometries and potential collective effects, and predicts experimentally observable bimodal cooling.

Contribution

It introduces a general theory for multimode phonon cooling via three-wave interactions, including spatial mode functions and collective effects, with explicit results for dual-mode cooling.

Findings

Bimodal phonon cooling via anti-Stokes processes is theoretically feasible.

The theory accounts for various geometries and mode structures.

Predicted effects are experimentally observable.

Abstract

We discuss the possible cooling of different phonon modes via three wave mixing interactions of vibrational and optical modes. Since phonon modes exhibit a variety of dispersion relations or frequency spectra with diverse spatial structures, depending on the shape and size of the sample, we formulate our theory in terms of relevant spatial mode functions for the interacting fields in any given geometry. We discuss the possibility of Dicke like collective effects in phonon cooling and present explicit results for simultaneous cooling of two phonon modes via the anti-Stokes up conversions. We show that the bimodal cooling should be observable experimentally.