Nonlinear dynamics of weakly dissipative optomechanical systems

Roque TF, Marquardt F, Yevtushenko OM (2020)

Publication Type: Journal article

Publication year: 2020

Journal

New Journal of Physics Institute of Physics: Open Access Journals / Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft

Book Volume: 22

Journal Issue: 1

DOI: 10.1088/1367-2630/ab6522

Abstract

Optomechanical systems attract a lot of attention because they provide a novel platform for quantum measurements, transduction, hybrid systems, and fundamental studies of quantum physics. Their classical nonlinear dynamics is surprisingly rich and so far remains underexplored. Works devoted to this subject have typically focussed on dissipation constants which are substantially larger than those encountered in current experiments, such that the nonlinear dynamics of weakly dissipative optomechanical systems is almost uncharted waters. In this work, we fill this gap and investigate the regular and chaotic dynamics in this important regime. To analyze the dynamical attractors, we have extended the 'generalized alignment index' method to dissipative systems. We show that, even when chaotic motion is absent, the dynamics in the weakly dissipative regime is extremely sensitive to initial conditions. We argue that reducing dissipation allows chaotic dynamics to appear at a substantially smaller driving strength and enables various routes to chaos. We identify three generic features in weakly dissipative classical optomechanical nonlinear dynamics: the Neimark-Sacker bifurcation between limit cycles and limit tori (leading to a comb of sidebands in the spectrum), the quasiperiodic route to chaos, and the existence of transient chaos.

Authors with CRIS profile

Florian Marquardt Lehrstuhl für Theoretische Physik

Involved external institutions

Max-Planck-Institut für die Physik des Lichts (MPL) / Max Planck Institute for the Science of Light DE Germany (DE) Ludwig-Maximilians-Universität (LMU) DE Germany (DE)

How to cite

APA:

Roque, T.F., Marquardt, F., & Yevtushenko, O.M. (2020). Nonlinear dynamics of weakly dissipative optomechanical systems. New Journal of Physics, 22(1). https://doi.org/10.1088/1367-2630/ab6522

MLA:

Roque, Thales Figueiredo, Florian Marquardt, and Oleg M. Yevtushenko. "Nonlinear dynamics of weakly dissipative optomechanical systems." New Journal of Physics 22.1 (2020).

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