Dynamic stabilization of an optomechanical oscillator

TL;DR

This paper demonstrates how a membrane in the middle optomechanical system can be dynamically stabilized through temporal modulation of radiation pressure, with analysis in both classical and quantum regimes.

Contribution

It introduces a method for stabilizing an inverted mechanical oscillator using dynamic modulation in a quadratic optomechanical system, bridging classical and quantum analyses.

Findings

Mechanical oscillator stabilization achieved via radiation pressure modulation

Classical and quantum regimes show similar stabilization behavior

Quantum effects influence the stability conditions

Abstract

Quantum optomechanics offers the potential to investigate quantum effects in macroscopic quantum systems in extremely well controlled experiments. In this paper we discuss one such situation, the dynamic stabilization of a mechanical system such as an inverted pendulum. The specific example that we study is a "membrane in the middle" mechanical oscillator coupled to a cavity field via a quadratic optomechanical interaction, with cavity damping the dominant source of dissipation. We show that the mechanical oscillator can be dynamically stabilized by a temporal modulation of the radiation pressure force. We investigate the system both in the classical and quantum regimes highlighting similarities and differences.