Pina-Otey, SebastianJiménez Alburquerque, FernandoDegenfeld-Schonburg, PeterNavarrete-Benlloch, Carlos2026-01-162026-01-162016-03-21Pina-Otey, S., Jiménez, F., Degenfeld-Schonburg, P., & Navarrete-Benlloch, C. (2016). Classical and quantum-linearized descriptions of degenerate optomechanical parametric oscillators. Physical Review A, 93(3). https://doi.org/10.1103/PHYSREVA.93.0338352469-9926https://doi.org/10.1103/PhysRevA.93.033835https://hdl.handle.net/20.500.14468/31452The registered version of this article, first published in Physical Review A, is available online at the publisher's website: EDITOR, https://doi.org/10.1103/PhysRevA.93.033835La versión registrada de este artículo, publicado por primera vez en Physical Review A, está disponible en línea en el sitio web del editor: EDITOR, https://doi.org/10.1103/PhysRevA.93.033835Recent advances in the development of modern quantum technologies have opened the possibility of studying the interplay between spontaneous parametric down-conversion and optomechanics, two of the most fundamental nonlinear optical processes. Apart from practical reasons, such a scenario is very interesting from a fundamental point of view, because it allows exploration of the optomechanical interaction in the presence of a strongly quantum-correlated field, the spontaneously down-converted mode. In this work we analyze this problem from two approximate but valuable perspectives: the classical limit and the limit of small quantum fluctuations. We show that, in the presence of optomechanical coupling, the well-known classical phase diagram of the optical problem is modified by the appearance of additional dynamical instabilities. As for the quantum-mechanical description, we prove the ability of the squeezed down-converted field to cool down the mechanical motion not only to thermal but also to squeezed thermal mechanical states, and in a way that can be much less sensitive to the parameters (e.g., detuning of the driving laser) than standard sideband cooling.eninfo:eu-repo/semantics/openAccess12 Matemáticasartículo2469-9934