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	\bibitem [{\citenamefont {{LIGO Scientific Collaboration and Virgo
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	\bibitem [{\citenamefont {Sterr}\ \emph {et~al.}(2009)\citenamefont {Sterr},
	\citenamefont {Legero}, \citenamefont {Kessler}, \citenamefont {Schnatz},
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	\bibfield {author} {\bibinfo {author} {\bibfnamefont {U.}~\bibnamefont
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	\bibitem [{\citenamefont {Ye}\ \emph {et~al.}(2008)\citenamefont {Ye},
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	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {J.}~\bibnamefont
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	\bibitem [{\citenamefont {Aspelmeyer}\ \emph {et~al.}(2014)\citenamefont
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	\BibitemOpen
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	{\bibinfo {volume} {86}},\ \bibinfo {pages} {1391} (\bibinfo {year}
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	\bibitem [{\citenamefont {Braginsky}\ \emph {et~al.}(2000)\citenamefont
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	\BibitemOpen
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	\bibitem [{\citenamefont
	{Gorodetsky}(2008)}]{gorodetsky_thermal_noise_compensation_2008}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {M.~L.}\ \bibnamefont
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	\bibitem [{\citenamefont {Audoin}\ \emph {et~al.}(1991)\citenamefont {Audoin},
	\citenamefont {Candelier},\ and\ \citenamefont
	{Diamarcq}}]{audoin_intermodulation_1991}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {C.}~\bibnamefont
	{Audoin}}, \bibinfo {author} {\bibfnamefont {V.}~\bibnamefont {Candelier}}, \
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	{\doibase 10.1109/TIM.1990.1032896} {\bibfield {journal} {\bibinfo
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	{\bibinfo {volume} {40}},\ \bibinfo {pages} {121} (\bibinfo {year}
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	\bibitem [{\citenamefont {Ferguson}\ and\ \citenamefont
	{Elliott}(1990)}]{ferguson_laser-noise-induced_1990}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {B.~A.}\ \bibnamefont
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	{\bibinfo {journal} {Physical Review A}\ }\textbf {\bibinfo {volume} {41}},\
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	\bibitem [{\citenamefont {Bahoura}\ and\ \citenamefont
	{Clairon}(2003)}]{bahoura_ultimate_2003}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {M.}~\bibnamefont
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	\bibinfo {pages} {1414} (\bibinfo {year} {2003})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Miao}\ \emph {et~al.}(2009)\citenamefont {Miao},
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	\BibitemOpen
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	\bibitem [{\citenamefont {Khalili}\ \emph {et~al.}(2010)\citenamefont
	{Khalili}, \citenamefont {Danilishin}, \citenamefont {Miao}, \citenamefont
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	\bibitem [{\citenamefont {Sudhir}\ \emph
	{et~al.}(2017{\natexlab{a}})\citenamefont {Sudhir}, \citenamefont {Wilson},
	\citenamefont {Schilling}, \citenamefont {Schütz}, \citenamefont {Fedorov},
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	\BibitemOpen
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	{\bibinfo {volume} {7}},\ \bibinfo {pages} {011001} (\bibinfo {year}
	{2017}{\natexlab{a}})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Wilson}\ \emph {et~al.}(2015)\citenamefont {Wilson},
	\citenamefont {Sudhir}, \citenamefont {Piro}, \citenamefont {Schilling},
	\citenamefont {Ghadimi},\ and\ \citenamefont
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	\bibitem [{\citenamefont {Chan}\ \emph {et~al.}(2011)\citenamefont {Chan},
	\citenamefont {Alegre}, \citenamefont {Safavi-Naeini}, \citenamefont {Hill},
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	{\bibfnamefont {M.}~\bibnamefont {Aspelmeyer}}, \ and\ \bibinfo {author}
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	{2011})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Qiu}\ \emph {et~al.}(2019)\citenamefont {Qiu},
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	\bibinfo {author} {\bibfnamefont {P.}~\bibnamefont {Seidler}}, \ and\
	\bibinfo {author} {\bibfnamefont {T.~J.}\ \bibnamefont {Kippenberg}},\ }\href
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	{arXiv:1903.10242 [quant-ph]}\ } (\bibinfo {year} {2019})},\ \bibinfo {note}
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	\bibitem [{\citenamefont {Rossi}\ \emph {et~al.}(2018)\citenamefont {Rossi},
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	\citenamefont {Schliesser}}]{rossi_measurement-based_2018}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {M.}~\bibnamefont
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	{\bibfnamefont {Y.}~\bibnamefont {Tsaturyan}}, \ and\ \bibinfo {author}
	{\bibfnamefont {A.}~\bibnamefont {Schliesser}},\ }\href {\doibase
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	{Nature}\ }\textbf {\bibinfo {volume} {563}},\ \bibinfo {pages} {53}
	(\bibinfo {year} {2018})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Hong}\ \emph {et~al.}(2017)\citenamefont {Hong},
	\citenamefont {Riedinger}, \citenamefont {Marinković}, \citenamefont
	{Wallucks}, \citenamefont {Hofer}, \citenamefont {Norte}, \citenamefont
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	{\bibfnamefont {S.~G.}\ \bibnamefont {Hofer}}, \bibinfo {author}
	{\bibfnamefont {R.~A.}\ \bibnamefont {Norte}}, \bibinfo {author}
	{\bibfnamefont {M.}~\bibnamefont {Aspelmeyer}}, \ and\ \bibinfo {author}
	{\bibfnamefont {S.}~\bibnamefont {Gröblacher}},\ }\href {\doibase
	10.1126/science.aan7939} {\bibfield {journal} {\bibinfo {journal}
	{Science}\ } (\bibinfo {year} {2017}),\ 10.1126/science.aan7939}\BibitemShut
	{NoStop}%
	\bibitem [{\citenamefont {Riedinger}\ \emph {et~al.}(2018)\citenamefont
	{Riedinger}, \citenamefont {Wallucks}, \citenamefont {Marinković},
	\citenamefont {Löschnauer}, \citenamefont {Aspelmeyer}, \citenamefont
	{Hong},\ and\ \citenamefont {Gröblacher}}]{riedinger_remote_2018}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {R.}~\bibnamefont
	{Riedinger}}, \bibinfo {author} {\bibfnamefont {A.}~\bibnamefont {Wallucks}},
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	{\bibfnamefont {M.}~\bibnamefont {Aspelmeyer}}, \bibinfo {author}
	{\bibfnamefont {S.}~\bibnamefont {Hong}}, \ and\ \bibinfo {author}
	{\bibfnamefont {S.}~\bibnamefont {Gröblacher}},\ }\href {\doibase
	10.1038/s41586-018-0036-z} {\bibfield {journal} {\bibinfo {journal}
	{Nature}\ }\textbf {\bibinfo {volume} {556}},\ \bibinfo {pages} {473}
	(\bibinfo {year} {2018})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Safavi-Naeini}\ \emph {et~al.}(2013)\citenamefont
	{Safavi-Naeini}, \citenamefont {Gröblacher}, \citenamefont {Hill},
	\citenamefont {Chan}, \citenamefont {Aspelmeyer},\ and\ \citenamefont
	{Painter}}]{safavi-naeini_squeezed_2013}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {A.~H.}\ \bibnamefont
	{Safavi-Naeini}}, \bibinfo {author} {\bibfnamefont {S.}~\bibnamefont
	{Gröblacher}}, \bibinfo {author} {\bibfnamefont {J.~T.}\ \bibnamefont
	{Hill}}, \bibinfo {author} {\bibfnamefont {J.}~\bibnamefont {Chan}}, \bibinfo
	{author} {\bibfnamefont {M.}~\bibnamefont {Aspelmeyer}}, \ and\ \bibinfo
	{author} {\bibfnamefont {O.}~\bibnamefont {Painter}},\ }\href {\doibase
	10.1038/nature12307} {\bibfield {journal} {\bibinfo {journal} {Nature}\
	}\textbf {\bibinfo {volume} {500}},\ \bibinfo {pages} {185} (\bibinfo {year}
	{2013})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Purdy}\ \emph {et~al.}(2013)\citenamefont {Purdy},
	\citenamefont {Yu}, \citenamefont {Peterson}, \citenamefont {Kampel},\ and\
	\citenamefont {Regal}}]{purdy_strong_2013}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {T.~P.}\ \bibnamefont
	{Purdy}}, \bibinfo {author} {\bibfnamefont {P.-L.}\ \bibnamefont {Yu}},
	\bibinfo {author} {\bibfnamefont {R.~W.}\ \bibnamefont {Peterson}}, \bibinfo
	{author} {\bibfnamefont {N.~S.}\ \bibnamefont {Kampel}}, \ and\ \bibinfo
	{author} {\bibfnamefont {C.~A.}\ \bibnamefont {Regal}},\ }\href {\doibase
	10.1103/PhysRevX.3.031012} {\bibfield {journal} {\bibinfo {journal}
	{Physical Review X}\ }\textbf {\bibinfo {volume} {3}} (\bibinfo {year}
	{2013}),\ 10.1103/PhysRevX.3.031012}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Purdy}\ \emph {et~al.}(2016)\citenamefont {Purdy},
	\citenamefont {Grutter}, \citenamefont {Srinivasan},\ and\ \citenamefont
	{Taylor}}]{purdy_observation_2016}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {T.~P.}\ \bibnamefont
	{Purdy}}, \bibinfo {author} {\bibfnamefont {K.~E.}\ \bibnamefont {Grutter}},
	\bibinfo {author} {\bibfnamefont {K.}~\bibnamefont {Srinivasan}}, \ and\
	\bibinfo {author} {\bibfnamefont {J.~M.}\ \bibnamefont {Taylor}},\ }\href
	{http://arxiv.org/abs/1605.05664} {\bibfield {journal} {\bibinfo {journal}
	{arXiv:1605.05664 [cond-mat, physics:physics, physics:quant-ph]}\ } (\bibinfo
	{year} {2016})},\ \bibinfo {note} {arXiv: 1605.05664}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Sudhir}\ \emph
	{et~al.}(2017{\natexlab{b}})\citenamefont {Sudhir}, \citenamefont
	{Schilling}, \citenamefont {Fedorov}, \citenamefont {Schütz}, \citenamefont
	{Wilson},\ and\ \citenamefont {Kippenberg}}]{sudhir_quantum_2017}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {V.}~\bibnamefont
	{Sudhir}}, \bibinfo {author} {\bibfnamefont {R.}~\bibnamefont {Schilling}},
	\bibinfo {author} {\bibfnamefont {S.}~\bibnamefont {Fedorov}}, \bibinfo
	{author} {\bibfnamefont {H.}~\bibnamefont {Schütz}}, \bibinfo {author}
	{\bibfnamefont {D.}~\bibnamefont {Wilson}}, \ and\ \bibinfo {author}
	{\bibfnamefont {T.}~\bibnamefont {Kippenberg}},\ }\href {\doibase
	10.1103/PhysRevX.7.031055} {\bibfield {journal} {\bibinfo {journal}
	{Physical Review X}\ }\textbf {\bibinfo {volume} {7}},\ \bibinfo {pages}
	{031055} (\bibinfo {year} {2017}{\natexlab{b}})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Cripe}\ \emph {et~al.}(2019)\citenamefont {Cripe},
	\citenamefont {Aggarwal}, \citenamefont {Lanza}, \citenamefont {Libson},
	\citenamefont {Singh}, \citenamefont {Heu}, \citenamefont {Follman},
	\citenamefont {Cole}, \citenamefont {Mavalvala},\ and\ \citenamefont
	{Corbitt}}]{cripe_measurement_2019}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {J.}~\bibnamefont
	{Cripe}}, \bibinfo {author} {\bibfnamefont {N.}~\bibnamefont {Aggarwal}},
	\bibinfo {author} {\bibfnamefont {R.}~\bibnamefont {Lanza}}, \bibinfo
	{author} {\bibfnamefont {A.}~\bibnamefont {Libson}}, \bibinfo {author}
	{\bibfnamefont {R.}~\bibnamefont {Singh}}, \bibinfo {author} {\bibfnamefont
	{P.}~\bibnamefont {Heu}}, \bibinfo {author} {\bibfnamefont {D.}~\bibnamefont
	{Follman}}, \bibinfo {author} {\bibfnamefont {G.~D.}\ \bibnamefont {Cole}},
	\bibinfo {author} {\bibfnamefont {N.}~\bibnamefont {Mavalvala}}, \ and\
	\bibinfo {author} {\bibfnamefont {T.}~\bibnamefont {Corbitt}},\ }\href
	{\doibase 10.1038/s41586-019-1051-4} {\bibfield {journal} {\bibinfo
	{journal} {Nature}\ }\textbf {\bibinfo {volume} {568}},\ \bibinfo {pages}
	{364} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Yap}\ \emph {et~al.}(2019)\citenamefont {Yap},
	\citenamefont {Cripe}, \citenamefont {Mansell}, \citenamefont {McRae},
	\citenamefont {Ward}, \citenamefont {Slagmolen}, \citenamefont {Heu},
	\citenamefont {Follman}, \citenamefont {Cole}, \citenamefont {Corbitt},\ and\
	\citenamefont {McClelland}}]{yap_broadband_2019}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {M.~J.}\ \bibnamefont
	{Yap}}, \bibinfo {author} {\bibfnamefont {J.}~\bibnamefont {Cripe}}, \bibinfo
	{author} {\bibfnamefont {G.~L.}\ \bibnamefont {Mansell}}, \bibinfo {author}
	{\bibfnamefont {T.~G.}\ \bibnamefont {McRae}}, \bibinfo {author}
	{\bibfnamefont {R.~L.}\ \bibnamefont {Ward}}, \bibinfo {author}
	{\bibfnamefont {B.~J.~J.}\ \bibnamefont {Slagmolen}}, \bibinfo {author}
	{\bibfnamefont {P.}~\bibnamefont {Heu}}, \bibinfo {author} {\bibfnamefont
	{D.}~\bibnamefont {Follman}}, \bibinfo {author} {\bibfnamefont {G.~D.}\
	\bibnamefont {Cole}}, \bibinfo {author} {\bibfnamefont {T.}~\bibnamefont
	{Corbitt}}, \ and\ \bibinfo {author} {\bibfnamefont {D.~E.}\ \bibnamefont
	{McClelland}},\ }\href {\doibase 10.1038/s41566-019-0527-y} {\bibfield
	{journal} {\bibinfo {journal} {Nature Photonics}\ ,\ \bibinfo {pages} {1}}
	(\bibinfo {year} {2019})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Aggarwal}\ \emph {et~al.}(2018)\citenamefont
	{Aggarwal}, \citenamefont {Cullen}, \citenamefont {Cripe}, \citenamefont
	{Cole}, \citenamefont {Lanza}, \citenamefont {Libson}, \citenamefont
	{Follman}, \citenamefont {Heu}, \citenamefont {Corbitt},\ and\ \citenamefont
	{Mavalvala}}]{aggarwal_room_2018}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {N.}~\bibnamefont
	{Aggarwal}}, \bibinfo {author} {\bibfnamefont {T.}~\bibnamefont {Cullen}},
	\bibinfo {author} {\bibfnamefont {J.}~\bibnamefont {Cripe}}, \bibinfo
	{author} {\bibfnamefont {G.~D.}\ \bibnamefont {Cole}}, \bibinfo {author}
	{\bibfnamefont {R.}~\bibnamefont {Lanza}}, \bibinfo {author} {\bibfnamefont
	{A.}~\bibnamefont {Libson}}, \bibinfo {author} {\bibfnamefont
	{D.}~\bibnamefont {Follman}}, \bibinfo {author} {\bibfnamefont
	{P.}~\bibnamefont {Heu}}, \bibinfo {author} {\bibfnamefont {T.}~\bibnamefont
	{Corbitt}}, \ and\ \bibinfo {author} {\bibfnamefont {N.}~\bibnamefont
	{Mavalvala}},\ }\href {http://arxiv.org/abs/1812.09942} {\bibfield {journal}
	{\bibinfo {journal} {arXiv:1812.09942 [physics, physics:quant-ph]}\ }
	(\bibinfo {year} {2018})},\ \bibinfo {note} {arXiv: 1812.09942}\BibitemShut
	{NoStop}%
	\bibitem [{\citenamefont {Thompson}\ \emph {et~al.}(2008)\citenamefont
	{Thompson}, \citenamefont {Zwickl}, \citenamefont {Jayich}, \citenamefont
	{Marquardt}, \citenamefont {Girvin},\ and\ \citenamefont
	{Harris}}]{thompson_strong_2008}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {J.~D.}\ \bibnamefont
	{Thompson}}, \bibinfo {author} {\bibfnamefont {B.~M.}\ \bibnamefont
	{Zwickl}}, \bibinfo {author} {\bibfnamefont {A.~M.}\ \bibnamefont {Jayich}},
	\bibinfo {author} {\bibfnamefont {F.}~\bibnamefont {Marquardt}}, \bibinfo
	{author} {\bibfnamefont {S.~M.}\ \bibnamefont {Girvin}}, \ and\ \bibinfo
	{author} {\bibfnamefont {J.~G.~E.}\ \bibnamefont {Harris}},\ }\href {\doibase
	10.1038/nature06715} {\bibfield {journal} {\bibinfo {journal} {Nature}\
	}\textbf {\bibinfo {volume} {452}},\ \bibinfo {pages} {72} (\bibinfo {year}
	{2008})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Wilson}\ \emph {et~al.}(2009)\citenamefont {Wilson},
	\citenamefont {Regal}, \citenamefont {Papp},\ and\ \citenamefont
	{Kimble}}]{wilson_cavity_2009}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {D.~J.}\ \bibnamefont
	{Wilson}}, \bibinfo {author} {\bibfnamefont {C.~A.}\ \bibnamefont {Regal}},
	\bibinfo {author} {\bibfnamefont {S.~B.}\ \bibnamefont {Papp}}, \ and\
	\bibinfo {author} {\bibfnamefont {H.~J.}\ \bibnamefont {Kimble}},\ }\href
	{\doibase 10.1103/PhysRevLett.103.207204} {\bibfield {journal} {\bibinfo
	{journal} {Physical Review Letters}\ }\textbf {\bibinfo {volume} {103}},\
	\bibinfo {pages} {207204} (\bibinfo {year} {2009})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Tsaturyan}\ \emph {et~al.}(2017)\citenamefont
	{Tsaturyan}, \citenamefont {Barg}, \citenamefont {Polzik},\ and\
	\citenamefont {Schliesser}}]{tsaturyan_ultracoherent_2017}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {Y.}~\bibnamefont
	{Tsaturyan}}, \bibinfo {author} {\bibfnamefont {A.}~\bibnamefont {Barg}},
	\bibinfo {author} {\bibfnamefont {E.~S.}\ \bibnamefont {Polzik}}, \ and\
	\bibinfo {author} {\bibfnamefont {A.}~\bibnamefont {Schliesser}},\ }\href
	{\doibase 10.1038/nnano.2017.101} {\bibfield {journal} {\bibinfo {journal}
	{Nature Nanotechnology}\ }\textbf {\bibinfo {volume} {12}},\ \bibinfo {pages}
	{776} (\bibinfo {year} {2017})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Reetz}\ \emph {et~al.}(2019)\citenamefont {Reetz},
	\citenamefont {Fischer}, \citenamefont {Assumpção}, \citenamefont
	{McNally}, \citenamefont {Burns}, \citenamefont {Sankey},\ and\ \citenamefont
	{Regal}}]{reetz_analysis_2019}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {C.}~\bibnamefont
	{Reetz}}, \bibinfo {author} {\bibfnamefont {R.}~\bibnamefont {Fischer}},
	\bibinfo {author} {\bibfnamefont {G.}~\bibnamefont {Assumpção}}, \bibinfo
	{author} {\bibfnamefont {D.}~\bibnamefont {McNally}}, \bibinfo {author}
	{\bibfnamefont {P.}~\bibnamefont {Burns}}, \bibinfo {author} {\bibfnamefont
	{J.}~\bibnamefont {Sankey}}, \ and\ \bibinfo {author} {\bibfnamefont
	{C.}~\bibnamefont {Regal}},\ }\href {\doibase
	10.1103/PhysRevApplied.12.044027} {\bibfield {journal} {\bibinfo {journal}
	{Physical Review Applied}\ }\textbf {\bibinfo {volume} {12}},\ \bibinfo
	{pages} {044027} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Brawley}\ \emph {et~al.}(2016)\citenamefont
	{Brawley}, \citenamefont {Vanner}, \citenamefont {Larsen}, \citenamefont
	{Schmid}, \citenamefont {Boisen},\ and\ \citenamefont
	{Bowen}}]{brawley_nonlinear_2016}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {G.~A.}\ \bibnamefont
	{Brawley}}, \bibinfo {author} {\bibfnamefont {M.~R.}\ \bibnamefont {Vanner}},
	\bibinfo {author} {\bibfnamefont {P.~E.}\ \bibnamefont {Larsen}}, \bibinfo
	{author} {\bibfnamefont {S.}~\bibnamefont {Schmid}}, \bibinfo {author}
	{\bibfnamefont {A.}~\bibnamefont {Boisen}}, \ and\ \bibinfo {author}
	{\bibfnamefont {W.~P.}\ \bibnamefont {Bowen}},\ }\href {\doibase
	10.1038/ncomms10988} {\bibfield {journal} {\bibinfo {journal} {Nature
	Communications}\ }\textbf {\bibinfo {volume} {7}},\ \bibinfo {pages} {10988}
	(\bibinfo {year} {2016})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Leijssen}\ \emph {et~al.}(2017)\citenamefont
	{Leijssen}, \citenamefont {Gala}, \citenamefont {Freisem}, \citenamefont
	{Muhonen},\ and\ \citenamefont {Verhagen}}]{leijssen_nonlinear_2017}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {R.}~\bibnamefont
	{Leijssen}}, \bibinfo {author} {\bibfnamefont {G.~R.~L.}\ \bibnamefont
	{Gala}}, \bibinfo {author} {\bibfnamefont {L.}~\bibnamefont {Freisem}},
	\bibinfo {author} {\bibfnamefont {J.~T.}\ \bibnamefont {Muhonen}}, \ and\
	\bibinfo {author} {\bibfnamefont {E.}~\bibnamefont {Verhagen}},\ }\href
	{\doibase 10.1038/ncomms16024} {\bibfield {journal} {\bibinfo {journal}
	{Nature Communications}\ }\textbf {\bibinfo {volume} {8}},\ \bibinfo {pages}
	{1} (\bibinfo {year} {2017})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Gangat}\ \emph {et~al.}(2011)\citenamefont {Gangat},
	\citenamefont {Stace},\ and\ \citenamefont {Milburn}}]{gangat_phonon_2011}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {A.~A.}\ \bibnamefont
	{Gangat}}, \bibinfo {author} {\bibfnamefont {T.~M.}\ \bibnamefont {Stace}}, \
	and\ \bibinfo {author} {\bibfnamefont {G.~J.}\ \bibnamefont {Milburn}},\
	}\href {\doibase 10.1088/1367-2630/13/4/043024} {\bibfield {journal}
	{\bibinfo {journal} {New Journal of Physics}\ }\textbf {\bibinfo {volume}
	{13}},\ \bibinfo {pages} {043024} (\bibinfo {year} {2011})}\BibitemShut
	{NoStop}%
	\bibitem [{\citenamefont {Clerk}\ \emph {et~al.}(2010)\citenamefont {Clerk},
	\citenamefont {Marquardt},\ and\ \citenamefont
	{Harris}}]{clerk_quantum_2010}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {A.~A.}\ \bibnamefont
	{Clerk}}, \bibinfo {author} {\bibfnamefont {F.}~\bibnamefont {Marquardt}}, \
	and\ \bibinfo {author} {\bibfnamefont {J.~G.~E.}\ \bibnamefont {Harris}},\
	}\href {\doibase 10.1103/PhysRevLett.104.213603} {\bibfield {journal}
	{\bibinfo {journal} {Physical Review Letters}\ }\textbf {\bibinfo {volume}
	{104}},\ \bibinfo {pages} {213603} (\bibinfo {year} {2010})}\BibitemShut
	{NoStop}%
	\bibitem [{\citenamefont {Nunnenkamp}\ \emph {et~al.}(2010)\citenamefont
	{Nunnenkamp}, \citenamefont {Børkje}, \citenamefont {Harris},\ and\
	\citenamefont {Girvin}}]{nunnenkamp_cooling_and_squeezing_2010}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {A.}~\bibnamefont
	{Nunnenkamp}}, \bibinfo {author} {\bibfnamefont {K.}~\bibnamefont {Børkje}},
	\bibinfo {author} {\bibfnamefont {J.~G.~E.}\ \bibnamefont {Harris}}, \ and\
	\bibinfo {author} {\bibfnamefont {S.~M.}\ \bibnamefont {Girvin}},\ }\href
	{\doibase 10.1103/PhysRevA.82.021806} {\bibfield {journal} {\bibinfo
	{journal} {Physical Review A}\ }\textbf {\bibinfo {volume} {82}},\ \bibinfo
	{pages} {021806} (\bibinfo {year} {2010})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Martin}\ and\ \citenamefont
	{Zurek}(2007)}]{martin_measurement_2007}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {I.}~\bibnamefont
	{Martin}}\ and\ \bibinfo {author} {\bibfnamefont {W.~H.}\ \bibnamefont
	{Zurek}},\ }\href {\doibase 10.1103/PhysRevLett.98.120401} {\bibfield
	{journal} {\bibinfo {journal} {Physical Review Letters}\ }\textbf {\bibinfo
	{volume} {98}},\ \bibinfo {pages} {120401} (\bibinfo {year}
	{2007})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Paraïso}\ \emph {et~al.}(2015)\citenamefont
	{Paraïso}, \citenamefont {Kalaee}, \citenamefont {Zang}, \citenamefont
	{Pfeifer}, \citenamefont {Marquardt},\ and\ \citenamefont
	{Painter}}]{paraiso_position-squared_2015}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {T.~K.}\ \bibnamefont
	{Paraïso}}, \bibinfo {author} {\bibfnamefont {M.}~\bibnamefont {Kalaee}},
	\bibinfo {author} {\bibfnamefont {L.}~\bibnamefont {Zang}}, \bibinfo {author}
	{\bibfnamefont {H.}~\bibnamefont {Pfeifer}}, \bibinfo {author} {\bibfnamefont
	{F.}~\bibnamefont {Marquardt}}, \ and\ \bibinfo {author} {\bibfnamefont
	{O.}~\bibnamefont {Painter}},\ }\href {\doibase 10.1103/PhysRevX.5.041024}
	{\bibfield {journal} {\bibinfo {journal} {Physical Review X}\ }\textbf
	{\bibinfo {volume} {5}},\ \bibinfo {pages} {041024} (\bibinfo {year}
	{2015})}\BibitemShut {NoStop}%
	\bibitem [{spe()}]{specta_notations}%
	\BibitemOpen
	\href@noop {} {}\bibinfo {howpublished} {We use two-sided spectral densities,
	denoted as $S_{xx}[\omega]$, in theoretical derivations and one-sided
	spectral densities, denoted as $S_{x}[\omega]=2S_{xx}[\omega]$ for
	$\omega>2$, for the presentation of experimental data.}\BibitemShut {Stop}%
	\bibitem [{\citenamefont {Gardiner}()}]{gardiner_handbook_1985}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {C.~W.}\ \bibnamefont
	{Gardiner}},\ }\href@noop {} {\emph {\bibinfo {title} {Handbook of Stochastic
	Methods}}},\ \bibinfo {edition} {2nd}\ ed.\ (\bibinfo {publisher}
	{Springer},\ \bibinfo {address} {Berlin})\ \bibinfo {note} {section
	2.8.1}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Kampel}\ \emph {et~al.}(2017)\citenamefont {Kampel},
	\citenamefont {Peterson}, \citenamefont {Fischer}, \citenamefont {Yu},
	\citenamefont {Cicak}, \citenamefont {Simmonds}, \citenamefont {Lehnert},\
	and\ \citenamefont {Regal}}]{kampel_improving_2017}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {N.}~\bibnamefont
	{Kampel}}, \bibinfo {author} {\bibfnamefont {R.}~\bibnamefont {Peterson}},
	\bibinfo {author} {\bibfnamefont {R.}~\bibnamefont {Fischer}}, \bibinfo
	{author} {\bibfnamefont {P.-L.}\ \bibnamefont {Yu}}, \bibinfo {author}
	{\bibfnamefont {K.}~\bibnamefont {Cicak}}, \bibinfo {author} {\bibfnamefont
	{R.}~\bibnamefont {Simmonds}}, \bibinfo {author} {\bibfnamefont
	{K.}~\bibnamefont {Lehnert}}, \ and\ \bibinfo {author} {\bibfnamefont
	{C.}~\bibnamefont {Regal}},\ }\href {\doibase 10.1103/PhysRevX.7.021008}
	{\bibfield {journal} {\bibinfo {journal} {Physical Review X}\ }\textbf
	{\bibinfo {volume} {7}},\ \bibinfo {pages} {021008} (\bibinfo {year}
	{2017})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Zhao}\ \emph {et~al.}(2012)\citenamefont {Zhao},
	\citenamefont {Wilson}, \citenamefont {Ni},\ and\ \citenamefont
	{Kimble}}]{zhao_wilson_suppression_2012}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {Y.}~\bibnamefont
	{Zhao}}, \bibinfo {author} {\bibfnamefont {D.~J.}\ \bibnamefont {Wilson}},
	\bibinfo {author} {\bibfnamefont {K.-K.}\ \bibnamefont {Ni}}, \ and\ \bibinfo
	{author} {\bibfnamefont {H.~J.}\ \bibnamefont {Kimble}},\ }\href {\doibase
	10.1364/OE.20.003586} {\bibfield {journal} {\bibinfo {journal} {Optics
	Express}\ }\textbf {\bibinfo {volume} {20}},\ \bibinfo {pages} {3586}
	(\bibinfo {year} {2012})},\ \bibinfo {note} {publisher: Optical Society of
	America}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Wilson}(2012)}]{wilson_thesis_2012}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {D.~J.}\ \bibnamefont
	{Wilson}},\ }\emph {\bibinfo {title} {Cavity optomechanics with high-stress
	silicon nitride films}},\ \href
	{http://resolver.caltech.edu/CaltechTHESIS:06122012-123343193} {\bibinfo
	{type} {phd}},\ \bibinfo {school} {California Institute of Technology}
	(\bibinfo {year} {2012})\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Gorodetksy}\ \emph {et~al.}(2010)\citenamefont
	{Gorodetksy}, \citenamefont {Schliesser}, \citenamefont {Anetsberger},
	\citenamefont {Deleglise},\ and\ \citenamefont
	{Kippenberg}}]{gorodetksy_determination_2010}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {M.~L.}\ \bibnamefont
	{Gorodetksy}}, \bibinfo {author} {\bibfnamefont {A.}~\bibnamefont
	{Schliesser}}, \bibinfo {author} {\bibfnamefont {G.}~\bibnamefont
	{Anetsberger}}, \bibinfo {author} {\bibfnamefont {S.}~\bibnamefont
	{Deleglise}}, \ and\ \bibinfo {author} {\bibfnamefont {T.~J.}\ \bibnamefont
	{Kippenberg}},\ }\href {\doibase 10.1364/OE.18.023236} {\bibfield {journal}
	{\bibinfo {journal} {Optics Express}\ }\textbf {\bibinfo {volume} {18}},\
	\bibinfo {pages} {23236} (\bibinfo {year} {2010})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Ghadimi}\ \emph {et~al.}(2018)\citenamefont
	{Ghadimi}, \citenamefont {Fedorov}, \citenamefont {Engelsen}, \citenamefont
	{Bereyhi}, \citenamefont {Schilling}, \citenamefont {Wilson},\ and\
	\citenamefont {Kippenberg}}]{ghadimi_strain_2017}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {A.~H.}\ \bibnamefont
	{Ghadimi}}, \bibinfo {author} {\bibfnamefont {S.~A.}\ \bibnamefont
	{Fedorov}}, \bibinfo {author} {\bibfnamefont {N.~J.}\ \bibnamefont
	{Engelsen}}, \bibinfo {author} {\bibfnamefont {M.~J.}\ \bibnamefont
	{Bereyhi}}, \bibinfo {author} {\bibfnamefont {R.}~\bibnamefont {Schilling}},
	\bibinfo {author} {\bibfnamefont {D.~J.}\ \bibnamefont {Wilson}}, \ and\
	\bibinfo {author} {\bibfnamefont {T.~J.}\ \bibnamefont {Kippenberg}},\ }\href
	{\doibase 10.1126/science.aar6939} {\bibfield {journal} {\bibinfo {journal}
	{Science}\ }\textbf {\bibinfo {volume} {360}},\ \bibinfo {pages} {764}
	(\bibinfo {year} {2018})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Saulson}(1990)}]{saulson_thermal_1990}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {P.~R.}\ \bibnamefont
	{Saulson}},\ }\href
	{http://journals.aps.org/prd/abstract/10.1103/PhysRevD.42.2437} {\bibfield
	{journal} {\bibinfo {journal} {Physical Review D}\ }\textbf {\bibinfo
	{volume} {42}},\ \bibinfo {pages} {2437} (\bibinfo {year}
	{1990})}\BibitemShut {NoStop}%
	\bibitem [{zen()}]{zenodo_repos}%
	\BibitemOpen
	\href@noop {} {}\bibinfo {howpublished} {Raw measurements data, analysis code
	to repoduce the manuscript figures, and the GDS designs of PnC membranes are
	available on zenodo.org, DOI:.../zenodo....}\BibitemShut {Stop}%
	\bibitem [{\citenamefont {Reinhardt}\ \emph {et~al.}(2016)\citenamefont
	{Reinhardt}, \citenamefont {Müller}, \citenamefont {Bourassa},\ and\
	\citenamefont {Sankey}}]{reinhardt_ultralow-noise_2016}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {C.}~\bibnamefont
	{Reinhardt}}, \bibinfo {author} {\bibfnamefont {T.}~\bibnamefont {Müller}},
	\bibinfo {author} {\bibfnamefont {A.}~\bibnamefont {Bourassa}}, \ and\
	\bibinfo {author} {\bibfnamefont {J.~C.}\ \bibnamefont {Sankey}},\ }\href
	{\doibase 10.1103/PhysRevX.6.021001} {\bibfield {journal} {\bibinfo
	{journal} {Physical Review X}\ }\textbf {\bibinfo {volume} {6}},\ \bibinfo
	{pages} {021001} (\bibinfo {year} {2016})}\BibitemShut {NoStop}%
	\bibitem [{\citenamefont {Fedorov}\ \emph {et~al.}(2020)\citenamefont
	{Fedorov}, \citenamefont {Beccari}, \citenamefont {Engelsen},\ and\
	\citenamefont {Kippenberg}}]{fedorov_fractal-like_2020}%
	\BibitemOpen
	\bibfield {author} {\bibinfo {author} {\bibfnamefont {S.}~\bibnamefont
	{Fedorov}}, \bibinfo {author} {\bibfnamefont {A.}~\bibnamefont {Beccari}},
	\bibinfo {author} {\bibfnamefont {N.}~\bibnamefont {Engelsen}}, \ and\
	\bibinfo {author} {\bibfnamefont {T.}~\bibnamefont {Kippenberg}},\ }\href
	{\doibase 10.1103/PhysRevLett.124.025502} {\bibfield {journal} {\bibinfo
	{journal} {Physical Review Letters}\ }\textbf {\bibinfo {volume} {124}},\
	\bibinfo {pages} {025502} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
	\end{thebibliography}%

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