Nonlinear dynamics of weakly dissipative optomechanical systems
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2020-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab6522 |
| _version_ | 1797750330580008960 |
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| author | Thales Figueiredo Roque Florian Marquardt Oleg M Yevtushenko |
| author_facet | Thales Figueiredo Roque Florian Marquardt Oleg M Yevtushenko |
| author_sort | Thales Figueiredo Roque |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T16:31:11Z |
| format | Article |
| id | doaj.art-20b3c2554183455585d625e8931b2908 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:31:11Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-20b3c2554183455585d625e8931b29082023-08-08T15:28:12ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122101304910.1088/1367-2630/ab6522Nonlinear dynamics of weakly dissipative optomechanical systemsThales Figueiredo Roque0Florian Marquardt1Oleg M Yevtushenko2Max Planck Institute for the Science of Light, Staudtstraße 2, D-91058 Erlangen, GermanyMax Planck Institute for the Science of Light, Staudtstraße 2, D-91058 Erlangen, Germany; Institute for Theoretical Physics, Department of Physics, University of Erlangen-Nürnberg , Staudtstraße 7, D-91058 Erlangen, GermanyLudwig-Maximilians-Universität , Arnold Sommerfeld Center, and Center for Nano-Science, Munich, D-80333, GermanyOptomechanical 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.https://doi.org/10.1088/1367-2630/ab6522optomechanical systemsnonlinear dynamicschaosattractors |
| spellingShingle | Thales Figueiredo Roque Florian Marquardt Oleg M Yevtushenko Nonlinear dynamics of weakly dissipative optomechanical systems New Journal of Physics optomechanical systems nonlinear dynamics chaos attractors |
| title | Nonlinear dynamics of weakly dissipative optomechanical systems |
| title_full | Nonlinear dynamics of weakly dissipative optomechanical systems |
| title_fullStr | Nonlinear dynamics of weakly dissipative optomechanical systems |
| title_full_unstemmed | Nonlinear dynamics of weakly dissipative optomechanical systems |
| title_short | Nonlinear dynamics of weakly dissipative optomechanical systems |
| title_sort | nonlinear dynamics of weakly dissipative optomechanical systems |
| topic | optomechanical systems nonlinear dynamics chaos attractors |
| url | https://doi.org/10.1088/1367-2630/ab6522 |
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