Dissipative structures in optomechanical cavities
Joaqu\'in Ruiz-Rivas, Carlos Navarrete-Benlloch, Giuseppe Patera,, Eugenio Rold\'an, and Germ\'an J. de Valc\'arcel

TL;DR
This paper explores complex nonlinear phenomena such as pattern formation and solitons in multimode optomechanical cavities, proposing realistic experimental setups and advancing understanding of their quantum properties.
Contribution
It introduces models predicting nonlinear structures in multimode optomechanical systems and suggests feasible experimental designs for their study.
Findings
Prediction of periodic patterns and localized structures
Proposal of intracavity membrane design for experiments
Advancement towards understanding quantum properties in multimode regimes
Abstract
Motivated by the increasing interest in the properties of multimode optomechanical devices, here we study a system in which a driven mode of a large-area optical cavity is despersively coupled to a deformable mechanical element. Two different models naturally appear in such scenario, for which we predict the formation of periodic patterns, localized structures (cavity solitons), and domain walls, among other complex nonlinear phenomena. Further, we propose a realistic design based on intracavity membranes where our models can be studied experimentally. Apart from its relevance to the field of nonlinear optics, the results put forward here are a necessary step towards understanding the quantum properties of optomechanical systems in the multimode regime of both the optical and mechanical degrees of freedom.
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