Exploring corrections to the optomechanical Hamiltonian

Sala, Kamila; Tufarelli, Tommaso

Abstract

We compare two approaches for deriving corrections to the “linear model” of cavity optomechanics, in order to describe effects that are beyond first order in the radiation pressure coupling. In the regime where the mechanical frequency is much lower than the cavity one, we compare: (I) a widely used phenomenological Hamiltonian conserving the photon number; (II) a two-mode truncation of C. K. Law’s microscopic model, which we take as the “true” system Hamiltonian. While these approaches agree at first order, the latter model does not conserve the photon number, resulting in challenging computations. We find that approach (I) allows for several analytical predictions, and significantly outperforms the linear model in our numerical examples. Yet, we also find that the phenomenological Hamiltonian cannot fully capture all high-order corrections arising from the C. K. Law model.

Citation

Sala, K., & Tufarelli, T. (2018). Exploring corrections to the optomechanical Hamiltonian. Scientific Reports, 8, Article 9157. https://doi.org/10.1038/s41598-018-26739-0

• Journal Article Type: Article
• Acceptance Date: May 16, 2018
• Online Publication Date: Jun 14, 2018
• Publication Date: Jun 14, 2018
• Deposit Date: Jun 15, 2018
• Publicly Available Date: Jun 15, 2018
• Journal: Scientific Reports
• Electronic ISSN: 2045-2322
• Publisher: Nature Publishing Group
• Peer Reviewed: Peer Reviewed
• Volume: 8
• Article Number: 9157
• DOI: https://doi.org/10.1038/s41598-018-26739-0
• Public URL: https://nottingham-repository.worktribe.com/output/938998
• Publisher URL: https://www.nature.com/articles/s41598-018-26739-0
• Contract Date: Jun 15, 2018