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The study introduces a simple, robust optical trapping geometry in vacuum using a parabolic mirror and optical gradient force to trap a single nanoparticle. Rapid parametric feedback cooling is demonstrated for all three motional degrees of freedom, reducing temperatures from room temperature to a few mK. A single 1550 nm laser and a single photodiode perform trapping, position detection, and cooling, enabling stable operation across particle sizes from 26 nm to 160 nm and supporting ultra-high vacuum conditions.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/parametric-feedback-cooling-of-levitated-optomechanics-in-a-parabolic-mirror-trap-paper/232775/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/parametric-feedback-cooling-of-levitated-optomechanics-in-a-parabolic-mirror-trap-paper/232775.png","ImageObject",300,407,{"name":92,"@type":93},"eBook King","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-09-10",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",15,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What trapping method and geometry are used in the study?","Question",{"text":113,"@type":114},"The work demonstrates a single nanoparticle optical trapping geometry in vacuum based on a parabolic mirror and the optical gradient force, providing tight focusing and reduced scattering for small particles.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How is the nanoparticle cooled and what components are used?",{"text":118,"@type":114},"Rapid parametric feedback cooling is applied to all three motional degrees of freedom using a single 1550 nm laser and a single photodiode for trapping, position detection, and cooling.",{"name":120,"@type":111,"acceptedAnswer":121},"What performance is achieved in terms of temperature and vacuum conditions?",{"text":122,"@type":114},"Cooling reduces motional temperatures from room temperature to a few mK, and the trapped particles are operated at pressures around 10^-5 mbar without feedback, with feedback engaged reducing pressure to about 10^-6 mbar.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},232775,1789073595,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":39,"category_name":40,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":46,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":130,"read_time":31,"preview_page_count":4},962088006270,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Parametric feedback cooling of levitated optomechanics in a parabolic mirror trap  \nVovrosh, J. , Rashid, M. , Hempston, D. , Bateman, J. , Paternostro, M. , & Ulbricht, H. (2017) . Parametric feedback cooling of levitated optomechanics in a parabolic mirror trap. Journal of the Optical Society of America B: Optical  \nPhysics, 34(7), 1421-1428 . [https://doi.org/10.1364/JOSAB.34.001421](https://doi.org/10.1364/JOSAB.34.001421)  \nPublished in:  \nJournal of the Optical Society of America B: Optical Physics  \nDocument Version:  \nPeer reviewed version  \nQueen's University Belfast-Research Portal:  \nLink to publication record in Queen's University Belfast Research Portal  \nPublisher rights  \n© 2017 Optical Society of America. This work is made available online in accordance with the publisher’s policies. Please refer to any applicable terms of use of the publisher.  \nGeneral rights  \nCopyright for the publications made accessible via the Queen's University Belfast Research Portal is retained by the author(s) and / or other copyright owners and it is a condition of accessing these publications that users recognise and abide by the legal requirements associated with these rights.  \nTake down policy  \nThe Research Portal is Queen's institutional repository that provides access to Queen's research output. Every effort has been made to ensure that content in the Research Portal does not infringe any person's rights, or applicable UK laws. If you discover content in the Research Portal that you believe breaches copyright or violates any law, [please contact openaccess@qub.ac.uk](please contact openaccess@qub.ac.uk).  \nOpen Access  \nThis research has been made openly available by Queen's academics and its Open Research team. We would love to hear how access to this research benefits you.– Share your feedback with us: [http://go.qub.ac.uk/oa-feedback](http://go.qub.ac.uk/oa-feedback)  \n[Download date:10. Sept. 2026](Download date:10. Sept. 2026)  \narXiv : 1603 .02917v3 [ quant-ph] 23 Jan 2017  \nParametric Feedback Cooling of Levitated Optomechanics in a Parabolic Mirror Trap  \nJamie Vovrosh, 1 Muddassar Rashid, 1 David Hempston, 1 James  \nBateman, 1, 2 Mauro Paternostro,3 and Hendrik Ulbricht 1, 􀀃  \n1 Department of Physics and Astronomy, University of Southampton, SO17 1BJ, United Kingdom  \n2 Department of Physics, College of Science, Swansea University, Swansea SA2 8PP, UK  \n3 Centre for Theoretical Atomic, Molecular, and Optical Physics,  \nSchool of Mathematics and Physics, Queen's University, Belfast BT7 1NN, United Kingdom  \nAbstract: Levitated optomechanics, a new experimental physics platform, holds promise for fundamental science and quantum technological sensing applications. We demonstrate a simple and robust geometry for optical trapping in vacuum of a single nanoparticle based on a parabolic mirror and the optical gradient force. We demonstrate rapid parametric feedback cooling of all three motional degrees of freedom from room temperature to a few mK. A single laser at 1550nm, and a single photodiode, are used for trapping, position detection, and cooling for all three dimensions. Particles with diameters from 26nm to 160nm are trapped without feedback to 10 􀀀5mbar and with feedback-engaged the pressure is reduced to 10 􀀀6mbar. Modi􀀌cations to the harmonic motion in the presence of noise and feedback are studied, and an experimental mechanical quality factor in excess of 4􀀂107 is evaluated. This particle manipulation is key to build a nanoparticle matter-wave interferometer in order to test the quantum superposition principle in the macroscopic domain.  \nIntroduction: Levitated optomechanics, where light is used to trap a single particle and manipulate its centreof-mass motion, holds promise for unprecedented precision in the control of massive nanoparticles in vacuum [1] . Such precision will be key for the development of applications in sensing of magnetic spin resonance [2], investigating gravitational e􀀋ects and detecting i","cbCaicZDn0YCku0y","https://ap.wps.com/l/cbCaicZDn0YCku0y","pdf",3073297,"English","# Abstract\n# Introduction\n# Results","[{\"question\":\"What trapping method and geometry are used in the study?\",\"answer\":\"The work demonstrates a single nanoparticle optical trapping geometry in vacuum based on a parabolic mirror and the optical gradient force, providing tight focusing and reduced scattering for small particles.\"},{\"question\":\"How is the nanoparticle cooled and what components are used?\",\"answer\":\"Rapid parametric feedback cooling is applied to all three motional degrees of freedom using a single 1550 nm laser and a single photodiode for trapping, position detection, and cooling.\"},{\"question\":\"What performance is achieved in terms of temperature and vacuum conditions?\",\"answer\":\"Cooling reduces motional temperatures from room temperature to a few mK, and the trapped particles are operated at pressures around 10^-5 mbar without feedback, with feedback engaged reducing pressure to about 10^-6 mbar.\"}]","Parametric feedback cooling of levitated optomechanics in a parabolic mirror trap - paper | PDF"]