Multimode cold-damping optomechanics with delayed feedback

We investigate the role of time delay in cold-damping optomechanics with multiple mechanical resonances. For instantaneous electronic response, it was recently shown by C. Sommer and C. Genes [Phys. Rev. Lett. 123, 203605 (2019)PRLTAO0031-900710.1103/PhysRevLett.123.203605] that a single feedback lo...

Full description

Bibliographic Details
Main Authors: Christian Sommer, Alekhya Ghosh, Claudiu Genes
Format: Article
Language:English
Published: American Physical Society 2020-08-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.033299
_version_ 1797211367518765056
author Christian Sommer
Alekhya Ghosh
Claudiu Genes
author_facet Christian Sommer
Alekhya Ghosh
Claudiu Genes
author_sort Christian Sommer
collection DOAJ
description We investigate the role of time delay in cold-damping optomechanics with multiple mechanical resonances. For instantaneous electronic response, it was recently shown by C. Sommer and C. Genes [Phys. Rev. Lett. 123, 203605 (2019)PRLTAO0031-900710.1103/PhysRevLett.123.203605] that a single feedback loop is sufficient to simultaneously remove thermal noise from many mechanical modes. While the intrinsic delayed response of the electronics can induce single-mode and mutual heating between adjacent modes, we propose to counteract such detrimental effects by introducing an additional time delay to the feedback loop. For lossy cavities and broadband feedback, we derive analytical results for the final occupancies of the mechanical modes within the formalism of quantum Langevin equations. For modes that are frequency degenerate collective effects dominate, mimicking behavior similar to Dicke super- and subradiance. These analytical results, corroborated with numerical simulations of both transient and steady state dynamics, allow us to find suitable conditions and strategies for efficient single-mode or multimode feedback optomechanics.
first_indexed 2024-04-24T10:25:22Z
format Article
id doaj.art-e7f88d8d1b1c411b9f92192919ffc3c6
institution Directory Open Access Journal
issn 2643-1564
language English
last_indexed 2024-04-24T10:25:22Z
publishDate 2020-08-01
publisher American Physical Society
record_format Article
series Physical Review Research
spelling doaj.art-e7f88d8d1b1c411b9f92192919ffc3c62024-04-12T16:59:28ZengAmerican Physical SocietyPhysical Review Research2643-15642020-08-012303329910.1103/PhysRevResearch.2.033299Multimode cold-damping optomechanics with delayed feedbackChristian SommerAlekhya GhoshClaudiu GenesWe investigate the role of time delay in cold-damping optomechanics with multiple mechanical resonances. For instantaneous electronic response, it was recently shown by C. Sommer and C. Genes [Phys. Rev. Lett. 123, 203605 (2019)PRLTAO0031-900710.1103/PhysRevLett.123.203605] that a single feedback loop is sufficient to simultaneously remove thermal noise from many mechanical modes. While the intrinsic delayed response of the electronics can induce single-mode and mutual heating between adjacent modes, we propose to counteract such detrimental effects by introducing an additional time delay to the feedback loop. For lossy cavities and broadband feedback, we derive analytical results for the final occupancies of the mechanical modes within the formalism of quantum Langevin equations. For modes that are frequency degenerate collective effects dominate, mimicking behavior similar to Dicke super- and subradiance. These analytical results, corroborated with numerical simulations of both transient and steady state dynamics, allow us to find suitable conditions and strategies for efficient single-mode or multimode feedback optomechanics.http://doi.org/10.1103/PhysRevResearch.2.033299
spellingShingle Christian Sommer
Alekhya Ghosh
Claudiu Genes
Multimode cold-damping optomechanics with delayed feedback
Physical Review Research
title Multimode cold-damping optomechanics with delayed feedback
title_full Multimode cold-damping optomechanics with delayed feedback
title_fullStr Multimode cold-damping optomechanics with delayed feedback
title_full_unstemmed Multimode cold-damping optomechanics with delayed feedback
title_short Multimode cold-damping optomechanics with delayed feedback
title_sort multimode cold damping optomechanics with delayed feedback
url http://doi.org/10.1103/PhysRevResearch.2.033299
work_keys_str_mv AT christiansommer multimodecolddampingoptomechanicswithdelayedfeedback
AT alekhyaghosh multimodecolddampingoptomechanicswithdelayedfeedback
AT claudiugenes multimodecolddampingoptomechanicswithdelayedfeedback