Operator approach to quantum optomechanics

TL;DR

This paper explores the mirror-field interaction in quantum optomechanics using operator techniques, providing methods to solve or relate complex Hamiltonians to known solvable models under various conditions.

Contribution

It introduces a unified operator approach to analyze different scenarios in quantum optomechanics, including driven systems, environmental effects, and atom-cavity interactions.

Findings

Hamiltonians can be transformed into known solvable forms

Operator techniques simplify complex quantum optomechanical problems

Framework applies to driven, open, and atom-involved systems

Abstract

We study the mirror-field interaction in several frameworks: when it is driven, when it is affected by an environment and when a two-level atom is introduced in the cavity. By using operator techniques we show how these problems may be either solved or how the Hamiltonians involved, via sets of unitary transformations, may be taken to known Hamiltonians for which there exist approximate solutions.