Spatial localization and pattern formation in discrete optomechanical cavities and arrays
arXiv:1609.07405 · doi:10.1088/1367-2630/abb73e
Abstract
We investigate theoretically the generation of nonlinear dissipative structures in optomechanical (OM) systems containing discrete arrays of mechanical resonators. We consider both hybrid models in which the optical system is a continuous multimode field, as it would happen in an OM cavity containing an array of micro-mirrors, and also fully discrete models in which each mechanical resonator interacts with a single optical mode, making contact with Ludwig & Marquardt [Phys. Rev. Lett. 101, 073603 (2013)]. Also, we study the connections between both types of models and continuous OM models. While all three types of models merge naturally in the limit of a large number of densely distributed mechanical resonators, we show that the spatial localization and the pattern formation found in continuous OM models can be still observed for a small number of mechanical elements, even in the presence of finite-size effects, which we discuss. This opens new venues for experimental approaches to the subject.
arXiv commentComments and constructive criticism are welcome
References in corpus (20)
- Cavity Optomechanics
- Optomechanically induced transparency
- Electromagnetically Induced Transparency and Slow Light with Optomechanics
- Radiation-pressure cooling and optomechanical instability of a micro-mirror
- Self-cooling of a micro-mirror by radiation pressure
- Quantum-coherent coupling of a mechanical oscillator to an optical cavity mode
- Strong Optomechanical Squeezing of Light
- Collective dynamics in optomechanical arrays
- Parametric Oscillatory Instability in Fabry-Perot (FP) Interferometer
- Quantum many-body dynamics in optomechanical arrays
- Controlling phonons and photons at the wavelength-scale: silicon photonics meets silicon phononics
- Analysis of Parametric Oscillatory Instability in Power Recycled LIGO Interferometer
- Synchronization of many nano-mechanical resonators coupled via a common cavity field
- Observation of Parametric Instability in Advanced LIGO
- Non-critically squeezed light via spontaneous rotational symmetry breaking
- Spatially Adiabatic Frequency Conversion in Optoelectromechanical Arrays
- Quantum squeezing of optical dissipative structures
- Theory of quantum fluctuations of optical dissipative structures and its application to the squeezing properties of bright cavity solitons
- Optomechanical transport of cold atoms induced by structured light
- Dissipative structures in optomechanical cavities