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Title: Limit cycles and chaos in the hybrid atom-optomechanics system
Authors: Xu, Xingran
Krisnanda, Tanjung
Liew, Timothy Chi Hin
Keywords: Science::Physics
Issue Date: 2022
Source: Xu, X., Krisnanda, T. & Liew, T. C. H. (2022). Limit cycles and chaos in the hybrid atom-optomechanics system. Scientific Reports, 12(1), 15288-.
Project: MOE2019-T2-1-004 
Journal: Scientific Reports 
Abstract: We consider atoms in two different periodic potentials induced by different lasers, one of which is coupled to a mechanical membrane via radiation pressure force. The atoms are intrinsically two-level systems that can absorb or emit photons, but the dynamics of their position and momentum are treated classically. On the other hand, the membrane, the cavity field, and the intrinsic two-level atoms are treated quantum mechanically. We show that the mean excitation of the three systems can be stable, periodically oscillating, or in a chaotic state depending on the strength of the coupling between them. We define regular, limit cycle, and chaotic phases, and present a phase diagram where the three phases can be achieved by manipulating the field-membrane and field-atom coupling strengths. We also computed other observable quantities that can reflect the system's phase such as position, momentum, and correlation functions. Our proposal offers a new way to generate and tune the limit cycle and chaotic phases in a well-established atom-optomechanics system.
ISSN: 2045-2322
DOI: 10.1038/s41598-022-15249-9
Schools: School of Physical and Mathematical Sciences 
Research Centres: MajuLab, International Joint Research Unit UMI 3654, CNRS
Rights: © The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit
Fulltext Permission: open
Fulltext Availability: With Fulltext
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