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Experimental data for the manuscript titled Continuous time crystal coupled to a mechanical mode as a cavity-optomechanics-like platform

Mäkinen, Jere; Heikkinen, Petri; Autti, Samuli; Zavjalov, Vladislav; Eltsov, Vladimir

Abstract

This submission contains the minimal dataset required to reproduce the experimental findings related to the manuscript titled Continuous time crystal coupled to a mechanical mode as a cavity-optomechanics-like platform, associated with the DOI 10.1038/s41467-025-64673-8

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Desc ip ion o he da ase Ti le: Expe imen al da a o he manusc ip i led Con inuous ime c ys al coupled o a mechanical mode as a ca i y-op omechanics-like pla o m Desc ip ion: This submission con ains he minimal da ase equi ed o ep oduce he expe imen al indings ela ed o he manusc ip i led Con inuous ime c ys al coupled o a mechanical mode as a ca i y-op omechanics-like pla o m, associa ed wi h he DOI: 10.1038/s41467-025-64673-8 The manusc ip desc ibes expe imen s in supe luid 3He-B, whe e a magnon Bose-Eins ein condensa e ( om now e e ed o as he ime c ys al) was gene a ed in a 150-mm-long cylind ical sample con aine wi h 5.85 mm inne diame e by pumping su icien amoun o magnons in o a magne o- ex u al apping po en ial a empe a u es well below 1 mK. Simul aneously he con aine was shaken ho izon ally o modi y he p ecession equency o he ime c ys al. A mo e de ailed desc ip ion o he expe imen al se up, as well as he expe imen al p ocedu es and me hods, can be ound in he ci ed manusc ip and e e ences wi hin – he pu pose o his submission is o make he p esen ed da a a ailable o anyone in e es ed. Raw and addi ional da a can be p o ided on a easonable eques om co esponding au ho . The lis ed iles con ain he da a p esen ed in he manusc ip in human- eadable comma-sepa a ed (.cs ) o ma . Addi ional ele an in o ma ion is p o ided below he gene al desc ip ion o each ile. This submission includes he iles lis ed below. Fig1b.cs con ains he da a shown in Figu e 1b: •The i s column con ains he ime elapsed om beginning o he expe imen . The exci a ion pulse occu s some 58 ms a e he s a . Uni s: seconds. •The second column con ains he ol age induced on he pickup coils a e ampli ica ion. Uni s: Vol s (Scale: a bi a y) Fig1c.cs con ains he da a shown in Figu e 1c (based on aw da a om Fig1b.cs ): •The i s ow con ains he ime elapsed om beginning o he expe imen . The exci a ion pulse occu s some 58 ms a e he s a . Uni s: seconds. •The i s column con ains he equency shi om he la e- ime equency o he ime c ys al. Uni s: Hz. •The emaining ows and columns con ain he ex ac ed as Fou ie ans o ma ion (FFT) ampli ude o he aw signal a gi en ime/ equency, as gi en by he co esponding ow/column. The inse co esponds o he column, whe e Time = 40 s. Uni s: A bi a y. Fig2a_53mHz.cs and Fig2a_158mHz con ain da a om he panel Fig. 2a, whe e he gi en equency co esponds o he eading o he qua z uning o k gi en in he legend. •The i s column con ains he mechanical d i e equency. Uni s: Hz. •The second column con ains he ex ac ed modula ion ampli ude G (see manusc ip o de ails). Uni s: Hz. Fig2b_84mHz.cs and Fig2b_310mHz con ain da a om he panel Fig. 2b, whe e he gi en equency co esponds o he eading o he qua z uning o k gi en in he legend. •The i s column con ains he mechanical d i e equency. Uni s: Hz. •The second column con ains he ex ac ed modula ion ampli ude G (see manusc ip o de ails). Uni s: Hz. Files Fig2c_BulkCTC.cs and Fig2c_Su aceCTC.cs con ain da a om Fig. 2c. The ile name indica es he posi ion o he ime c ys al (in bulk liquid s close o he su ace). •The i s column con ains he he mome e o k eading. Uni s: mHz. •The second column con ains he ex ac ed su ace wa e esonance wid h. Uni s: Hz. Files Fig3abc_BulkCTC.cs and Fig3abc_Su aceCTC.cs con ain da a om Figs. 3, a,b, and c. The ile name indica es he posi ion o he ime c ys al (in bulk liquid s close o he su ace). •The i s column con ains he squa e o he ex ac ed maximum il angle θmax (see manusc ip o de ini ion). Uni s: deg². •The second column con ains he ex ac ed modula ion ampli ude G (see manusc ip o de ails). Uni s: Hz. •The hi d column con ains he ex ac ed equency shi o he p ecession equency o he ime c ys al ela i e o i s alue a ze o mechanical o cing. Uni s: Hz. •The ou h column con ains he ex ac ed asymme y ϴ×θmax (see manusc ip o de ini ion). Uni s: deg. Files Fig3d_BulkCTC.cs and Fig3d_Su aceCTC.cs con ain da a om Fig. 3d. The ile name indica es he posi ion o he ime c ys al (in bulk liquid s close o he su ace). No e: Fo each se o da a he magne ic ield p o ile was sligh ly di e en (di e en minimum coil cu en ), and o his eason he no- il equency, which was used as a e e ence, is always se o ze o o sub ac he e ec o he magne ic ield o he p ecession equency. •The i s column con ains he ex ac ed s a ic il angles. Uni s: deg. •The o he columns con ain he indi idual measu ed equency shi s o he ime c ys als la e- ime p ecession equency ela i e o he ze o il alue o he co esponding il angles. Uni s: Hz. Fig3e.cs con ains he da a shown in Figu e 3e (based on aw da a ela ed o Fig3abc_BulkCTC.cs ): •The i s ow con ains he equency shi om he cen al ime c ys al p ecession equency. Uni s: Hz. •The i s column con ains he he squa e o he ex ac ed maximum il angle θmax (see manusc ip o de ini ion). Uni s: deg². •The emaining ows and columns con ain he ex ac ed as Fou ie ans o ma ion (FFT) ampli ude o he aw signal a la e imes, and o gi en equency/maximum il angle, as gi en by he co esponding ow/column. The inse co esponds o da a om he 46 h ow, whe e θmax = 1.52 deg. Uni s: A bi a y.