Degenerate parametric oscillation in quantum membrane optomechanics

TL;DR

This paper demonstrates that modern optomechanical systems, specifically membrane-based setups, can realize degenerate parametric oscillation, enabling the study of dissipative phase transitions and spontaneous symmetry breaking in a controllable quantum environment.

Contribution

It shows that degenerate parametric oscillation can be implemented in mechanical membranes coupled to optical cavities using multi-chromatic laser driving, overcoming previous experimental limitations.

Findings

Implementation of degenerate parametric oscillation in membrane optomechanics.

Observation of signatures of spontaneous symmetry breaking.

Potential for studying dissipative phase transitions in clean quantum systems.

Abstract

The promise of innovative applications has triggered the development of many modern technologies capable of exploiting quantum effects. But in addition to future applications, such quantum technologies have already provided us with the possibility of accessing quantum-mechanical scenarios that seemed unreachable just a few decades ago. With this spirit, in this work we show that modern optomechanical setups are mature enough to implement one of the most elusive models in the field of open system dynamics: degenerate parametric oscillation. The possibility of implementing it in nonlinear optical resonators was the main motivation for introducing such model in the eighties, which rapidly became a paradigm for the study of dissipative phase transitions whose corresponding spontaneously broken symmetry is discrete. However, it was found that the intrinsic multimode nature of optical cavities makes it impossible to experimentally study the model all the way through its phase transition. In contrast, here we show that this long-awaited model can be implemented in the motion of a mechanical object dispersively coupled to the light contained in a cavity, when the latter is properly driven with multi-chromatic laser light. We focus on membranes as the mechanical element, showing that the main signatures of the degenerate parametric oscillation model can be studied in state-of-the-art setups, thus opening the possibility of studying spontaneous symmetry breaking and enhanced metrology in one of the cleanest dissipative phase transitions.