High-order interactions in quantum optomechanics: fluctuations, dynamics and thermodynamics

TL;DR

This paper investigates high-order resonant interactions in quantum optomechanics, revealing significant effects on system populations and entropy, beyond traditional second-order perturbation theory.

Contribution

It introduces a detailed analysis of two- and three-phonon scattering processes, extending understanding beyond second-order perturbation in quantum optomechanics.

Findings

High-order interactions significantly alter particle populations.

Corrections to the ground state are explicitly calculated.

System entropy production rate is affected by high-order terms.

Abstract

Quantum optomechanics describes the interaction between a confined field and a fluctuating wall due to radiation pressure. The dynamics of this system is typically understood using perturbation theory up to second order in the small coupling. Improving beyond this regime can shed light onto new phenomena. In this work we study high-order resonant wall-field interactions characterized by two- and three-phonon scattering processes. We obtain the Hamiltonian, compute the perturbed energy spectrum and explicitly calculate corrections to the ground state. Finally, we study the dynamics of the system when second- and third-order resonance conditions are activated, showing that the presence of high-order terms in the Hamiltonian drastically affects the populations of all particles, as well as the entropy production rate.