Exploring corrections to the optomechanical Hamiltonian
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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Published: |
Nature Publishing Group
2018
|
| Online Access: | https://eprints.nottingham.ac.uk/51849/ |
| _version_ | 1848798588423897088 |
|---|---|
| author | Sala, Kamila Tufarelli, Tommaso |
| author_facet | Sala, Kamila Tufarelli, Tommaso |
| author_sort | Sala, Kamila |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:22:09Z |
| format | Article |
| id | nottingham-51849 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:22:09Z |
| publishDate | 2018 |
| publisher | Nature Publishing Group |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-518492020-05-04T19:41:10Z https://eprints.nottingham.ac.uk/51849/ Exploring corrections to the optomechanical Hamiltonian Sala, Kamila Tufarelli, Tommaso 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. Nature Publishing Group 2018-06-14 Article PeerReviewed Sala, Kamila and Tufarelli, Tommaso (2018) Exploring corrections to the optomechanical Hamiltonian. Scientific Reports, 8 . p. 9157. ISSN 2045-2322 https://www.nature.com/articles/s41598-018-26739-0 doi::10.1038/s41598-018-26739-0 doi::10.1038/s41598-018-26739-0 |
| spellingShingle | Sala, Kamila Tufarelli, Tommaso Exploring corrections to the optomechanical Hamiltonian |
| title | Exploring corrections to the optomechanical Hamiltonian |
| title_full | Exploring corrections to the optomechanical Hamiltonian |
| title_fullStr | Exploring corrections to the optomechanical Hamiltonian |
| title_full_unstemmed | Exploring corrections to the optomechanical Hamiltonian |
| title_short | Exploring corrections to the optomechanical Hamiltonian |
| title_sort | exploring corrections to the optomechanical hamiltonian |
| url | https://eprints.nottingham.ac.uk/51849/ https://eprints.nottingham.ac.uk/51849/ https://eprints.nottingham.ac.uk/51849/ |