Replication Data for: Diamond magnetometry and gradiometry towards subpicotesla DC field measurementdoi:10.18419/darus-2817DaRUS2022-05-101Zhang, Chen, 2022, "Replication Data for: Diamond magnetometry and gradiometry towards subpicotesla DC field measurement", https://doi.org/10.18419/darus-2817, DaRUS, V1, UNF:6:jF2VO8F3SvyX3605VjOSlw== [fileUNF]Replication Data for: Diamond magnetometry and gradiometry towards subpicotesla DC field measurementdoi:10.18419/darus-2817Zhang, ChenMiLiQuantGRK2198GRK2642ASTERIQS17H02751DaRUSChen ZhangZhang, Chen2022-04-20PhysicsQuantum SensingQuantum TechnologyNV CenterNitrogen-Vacancy CenterMagnetometryMagnetic gradiometryDatasets to reproduce all plots in the paper. Each spreadsheet contains the horizontal and vertical data of a subfigure. The research investigates sensitivity optimization of nitrogen-vacancy center ensemble magnetometry and gradiometry. Subpicotesla magnetic field noise measurement is presented in the paper.Diamond magnetometry and gradiometry towards subpicotesla DC field measurement, C. Zhang, F. Shagieva, M. Widmann, M. Kübler, V. Vorobyov, P. Kapitanova, E. Nenasheva, R. Corkill, O. Röhrle, K. Nakamura, H. Sumiya, S. Onoda, J. Isoza, J. Wrachtrup, Physical Review Applied 15.6 (2021): 064075.10.1103/PhysRevApplied.15.064075Diamond magnetometry and gradiometry towards subpicotesla DC field measurement, C. Zhang, F. Shagieva, M. Widmann, M. Kübler, V. Vorobyov, P. Kapitanova, E. Nenasheva, R. Corkill, O. Röhrle, K. Nakamura, H. Sumiya, S. Onoda, J. Isoza, J. Wrachtrup, Physical Review Applied 15.6 (2021): 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RhrEI03lV9HQ==64.5654229-0.708752622-4.708735856401.0.-8.559541297-4.7000108458204482.30468282780269941.0UNF:6:fJXfs00Cy4hztyvjRYxesg==66.06934482.30469149390769751.0-4.708283928-4.699564627945137-0.708300683401.0.-8.559181872UNF:6:OAmH9Wm1KX/HGmnWDPKTuw==67.608297541.0-4.699128413897755.2.3046999606166763-0.707858879-8.558830459401.0-4.707842136UNF:6:56QbkvvtxtoArtx33fhEfQ==69.18309709-8.558486883.-4.698701982765587-4.7074102552.3047082325188506401.01.0-0.707426987UNF:6:bVHAtbmBCVRNYFXAHlO3qQ==70.79457844-4.706988066-8.558150972401.0-0.7070047882.3047163141596251.0-4.6982851183790535.UNF:6:SRI4HZFht9brn+oj9VpGEg==72.44359601.1.0-8.557822559401.02.304724209925247-0.706592066-4.69787760921197-4.706575355UNF:6:uG0CHHA+u862OFHfOLfmFw==74.13102413.2.3047319241511173-0.706188613-4.706171912401.0-8.5575014791.0-4.697479248204488UNF:6:FHoGtlCvtrlXrfmsCjEE1w==75.8577575401.01.0-4.705777531-8.557187573.-4.6970898328154612.304739461114724-0.705794222UNF:6:uOdV8beTYlF85zpPAFDqzQ==77.62471166401.0-4.705392012-8.556880682-0.7054086932.30474682482412251.0-4.696709164835413.UNF:6:OE+y0mGOCBhqNrOS+TK7dA==79.43282347-4.696337050403989-4.7050151582.30475401935046341.0.-8.556580654-0.705031829401.0UNF:6:SIP0eJ0lhH25AozUqfmAVw==81.28305162401.0-0.704663438-4.6959732996932671.02.304761048643116-4.704646777.-8.556287337UNF:6:/xOn97XMNiywH4p2i39sRw==83.17637711-0.704303332-4.6956177270798012.3047679164616026-4.704286681.0.-8.556000583401.0UNF:6:/YOe7hAIgvkEf6DjHmLScQ==85.11380382401.0-4.695270150977556-8.5557202492.3047746265709557.1.0-0.703951326-4.703934683UNF:6:8nCKO5wD5BKhDFXOKlKetg==87.096359-0.703607241.1.0-8.555446193-4.703590607-4.694930393695762401.02.3047811826776057UNF:6:N0Ep8Uzt89B7KWjqUwWLRw==89.125093811.0-4.694598281339152-8.5551782762.304787588277532401.0.-4.703254275-0.703270901UNF:6:2areudBzd+r07FJQN37ZSA==91.20108394401.0-8.554916364-4.702925515.-4.6942736438628421.0-0.7029421322.304793846864965UNF:6:x0bykJPGiIY9p5y/Te+V4g==93.32543008-8.554660324401.0-4.7026041572.304799961876081-0.7026207671.0-4.693956314970076.UNF:6:f0DMIzw9QrbkORissT/vqQ==95.49925861.0-8.554410026-4.693646131793018-4.702290038401.0.2.3048059365799864-0.70230664UNF:6:7xmqcEc4A5y0ydpFUZzyfw==97.7237221.2.3048117742483147-8.5541653431.0-4.701982996-0.70199959-4.693342935226933401.0UNF:6:8VmBZQCQ+6M6WrnWSB6RBA==1002.3048174780450745-4.701682873-4.6930465694688281.0-0.701699459-8.553926151.401.0UNF:6:chOlea+Pc1O1QWLWtXTV9g==Experiment (80mW) - time (us)281.614951846578151600.00.0487.3142857974.6285714.487.31428571428513399.0UNF:6:lXIzD9nZfwcgRWg+aNL7xg==Experiment (80mW) - Signal (a.u.)0.84599372329437480.23783075245280708.0.97411107053399.01600.01.00.0UNF:6:Xux3I9uW7W0s6OR6li/Iug==Simulation - time(us).288.76177034597174999.0500.01000.0500.00000000001810.00.0UNF:6:lB2oxlIROniLEyAG92dzjw==Simulation - k=0.026,T1=6ms0.0.0.9646325921.04999.00.00.84957906231726340.2311693759020702UNF:6:wIzea39juSSzk5QeAlp6RA==Simulation - k=0.26,T1=6ms0.00.9999999941.0.0.98336732455171020.00.092320722040576744999.0UNF:6:kpqM3B0B26ATz8h+Ct8fWg==Simulation - k=0.026,T1=0.5ms0.213833797471627530.0.0.88123509607921574999.00.00.9855385371.0UNF:6:AqOCakrjX09W7d/a8UoCXQ==Rabi (MHz)0.0086300284751192110.0357142860.025.00.0177935940.006944444.0.019206070999999998UNF:6:EKCf6jBd3cDkEZYQelDJmQ==linewidth/contrast - exp10.02704.117818.25.02452.20306793.382324551823472478.292448842370.252454UNF:6:mznQOUS4dsNu8ZCmLdY7oA==linewidth/contrast - exp2.2461.6965782480.12536468100.065215112856310.02346.8222292705.32805625.0UNF:6:i1ykkD61VqhEVbKtRlM7HA==linewidth/contrast - exp3.2468.2657120.02690.2631082480.843150122356.11535898.3667665115243625.0UNF:6:+4J/iU0895/QayitNmMOVw==linewidth/contrast - fitting25.00.02453.9615092479.753654562382.47972994.611550676902282689.711548.UNF:6:T+tDi3Kov0LhL67HcK9hFg==Modulation frequency (Hz)15.02000.0500000.0.10.0133725.8547961177859258.666666666680.0UNF:6:LEwyGk5+pRHXXKXss9UNlA==Signal contrast (a.u.) - k=0.026 T1=6ms1.03E-60.0050860066666666660.009790.0044730770072986470.0057315.0.0.0UNF:6:SCi/stinfdVp1shzKXEUFA==Signal contrast (a.u.) - k=0.026, T1=0.5ms15.0.0.0070.00374143193333333330.004594.29E-70.00.003203506755827398UNF:6:HlG7VbVQam0luoT9UwDgqQ==Signal contrast (a.u.) - k=0.26, T1=6ms0.00188.219635726356735E-40.00182.1.11E-615.00.00.001195976UNF:6:4aAmMH94of1rkHQ7qfs3nQ==Rabi (MHz)0.1117431684174371.0.089943491399999990.00.047727272520.00.0250.5UNF:6:8UxGiC/GIOU6D0PeXhK2Nw==linewidth - CW-ODMR_1.64.6836.40.0170.83499999999998179.74421380043597102.520.0UNF:6:S5QIBjC1ZiK4pUPD/4QACQ==linewidth - CW-ODMR_261.2.712.620.00.096.0157.01155.4119818587459UNF:6:4DuiUA4pULAWY/NLUL6WBQ==linewidth - CW-ODMR_3157.8160.80.0709.4.20.0155.7359975964722698.25UNF:6:lmZpfRZ+VvPtvRR6eQbv9Q==linewidth - Pulsed-ODMR_1385.0112.7288.986.8.20.068.98799743052180.0UNF:6:riFTENubshKpSNWKAQJb1w==linewidth - Pulsed-ODMR_2114.9776.004965904243820.0.89.50.087.0418.0UNF:6:Of7fjkehojoYwpJ5Ltet8g==linewidth - Pulsed-ODMR_3114.2299999999999984.6.72.5862978225156920.00.0400.089.55000000000001UNF:6:G7itpjY33Q0UMUpMUw2HEA==linewidth - CE pulsed-ODMR_1114.2788.420.085.2.72.21809876667820.0396.5UNF:6:7uG8T+43bZ3cqOQW6rUuzQ==linewidth - CE pulsed-ODMR_283.9115.95520.090.0.428.70.079.16224827928765UNF:6:2AkHxXeEaxhIt3EbfV07nA==linewidth - CE pulsed-ODMR_320.00.074.94367902842633115.38499999999999.82.3407.490.8UNF:6:f4ZBaTeXuPBlFKGbntHyuQ==Inset - MW power (dBm)-50.019.011.254628677422755.-14.0-32.01.0-32.0UNF:6:kzg0hwptSLC+HkxMsRQgLA==Inset - CW-ODMR linewidth (kHz)35.5646135318874819.0151.21.028.0463.6136842105263151.9.UNF:6:XDMMoNfFUpTFve45AvFeGQ==FM deviation frequency (kHz)5.91607978309961610.5.20.020.01.010.50.0UNF:6:/FIOZM/29oC3TK/IE52m2A==Maximum sensitivity (mV/kHz) - fm=1kHz0.081687687736274810.28360659820.00.02021985.0.00.166971499450.1824328895UNF:6:A0b4cpOL/utURVTpU7lQPA==Maximum sensitivity (mV/kHz) - fm=5kHz.0.094356829250.042134689050950620.1386841440.00957996820.00.00.1099352065UNF:6:xUY95aHEdvF7TF6JUCOCbA==Maximum sensitivity (mV/kHz) - fm=10kHz0.011381510.06432627330.0241968683568373370.099509461.0.020.00.07254613700000001UNF:6:X9aSrr38UqIvFqM86GzRBg==Maximum sensitivity (mV/kHz) - fm=20kHz0.01023785220.00.0417290119999999960.047147375.0.0100864303021074660.00.0385128927UNF:6:ULUnv6t92QNrfwgj4fIpKg==fitting fm=1kHz0.0.0.161404292050.079113156924721420.00.0180023990.2660186690.17309023350000002UNF:6:h6b9qyrMWKpR7syzfJMSnw==fitting fm=5kHz.0.098197746350.0115145610.00.0460071403933358660.10743719850.15452701120.0UNF:6:Jql+xyoDrbkgTP7Tn+/FtQ==demodulation frequency (kHz)0.05.916079783099616.20.020.01.010.510.5UNF:6:/FIOZM/29oC3TK/IE52m2A==Maximum sensitivity (mV/kHz) - beta=10.073960.014442711729632464.0.0535319999999999960.05261000000000000420.00.023490.0UNF:6:1FM3Sw0VQp33Gz3DZIha3A==Maximum sensitivity (mV/kHz) - fitting beta10.05395903280.0.0.0640782960.0123542107770282150.05728680320.00.014132901UNF:6:S6siUGaA3HvOWhWxE8fA5w==Maximum sensitivity (mV/kHz) - beta=20.00.10810.0693250.038550.0223637119129699920.00.07026.UNF:6:9lBuohJVUCrhfUukruT9MQ==Maximum sensitivity (mV/kHz) - fitting beta20.0723132682499999920.00.047222135.0.00.073092924499999990.09281520.015762816715185493UNF:6:aJvPOwnrBqNbMg/ZkDFdfw==Maximum sensitivity (mV/kHz) - beta=40.081047520.00.15410.027840.0405157228577278440.0696150.0.UNF:6:zMyM/7dtn5zjYQaarrlaCw==Maximum sensitivity (mV/kHz) - fitting beta40.0818346220.140086640.0387469199725176750.0300353720.00.0799277284999999920.0.UNF:6:fR9cwKRNUxkw8qe18LgaGw==Maximum sensitivity (mV/kHz) - BW=100kHz.0.065785785800741580.041860.107446520.00.083510.00.235UNF:6:VAKOWs9kZl1oeXS13TNn1w==CW-Ramsey0.20630.11150.0502969918112719620.00.052680.1183080.0.UNF:6:g7kqij6RZETSyNrNsifiIw==Noise Floor (V) - Demod. Freq. (Hz)231039.432683833641000000.0200.0146413.91088279531627.539689999998.1000.00.0UNF:6:jaj+E6+R9+QV9REs0W9uWg==Noise Floor (V) - Elec. Noise2.523E-8200.00.04.519023473691955E-92.032E-94.3784E-92.4485E-9.UNF:6:OupCCBt/m3BJN0ESHcYeoQ==Noise Floor (V) - Demod. Freq. (kHz)20.0180.010.510.5.5.91607978309961620.01.0UNF:6:iyqgaCIHuXxZzYsxVcFXBw==Noise Floor (V) - Laser6.759E-71.5089536135951436E-7180.06.522E-95.332634999999999E-86.9704999999999995E-920.0.UNF:6:5XBe5sza9R+Q9D6RX7B7QA==Minimum Detectable field (nT) - CE-Ramsey20.00.04589487045973427180.00.20840.0019940.0151559.0.0031335UNF:6:1NJ+gPxijdTbuuLvxjFS8Q==Minimum Detectable field (nT) - CW-ODMR0.010486750.002551.180.00.10270.0222765168917617620.00.004409UNF:6:8G2bKvwXUPGv+/cl9elI9Q==Freq. for OPM (Hz)101.460689322916650.132358.73131204784259101.45202.8384.01254.0.UNF:6:EZoHHybAbfeGZpDbMhDWNQ==Fig5a - OPM.3.951E-132.802112417222722E-7384.01254.05.491E-61.4302975208333333E-81.5615000000000002E-12UNF:6:XzsRCdk94pQ+xjxMv5ss/A==Fig5a - Freq. (Hz)0.2608224.8.449.3819.0129.8738619333495224.7977956043955819.0UNF:6:d8tkTRTgVjqSsKmq6skXEg==Fig5a Diamond Mag..7.434E-133.55E-91.2407647130915098E-10819.0819.07.074106837606835E-121.79E-12UNF:6:qu+x9CN1rcVtuB6xLmEDLw==Fig5a Off resonant baseline819.07.893672903974922E-13.6.73E-131.830857264957265E-12819.03.426E-121.745E-12UNF:6:ZYxzda7bPA2xpx1hxPM2MQ==Fig5b_1 - Freq. (Hz)224.8819.0.819.00.2608224.7977956043955449.3129.8738619333495UNF:6:d8tkTRTgVjqSsKmq6skXEg==Fig5b - Without Ferrite1.783E-127.088684537460616E-122.374792673992674E-127.275E-13819.01.913E-10819.0.UNF:6:9nrE+ezn7KLvRgYSNTV9Wg==Fig5b_2 - Freq. (Hz)390.46505549450563.1638.0225.51773266264960.2146780.70.0390.45UNF:6:0yj0qhH445CYC65hHNTt4Q==Fig5b - With Ferrite1.257E-101638.04.654459531233496E-125.576999999999999E-130.06.681E-14.1.4030195177045184E-12UNF:6:ReKJqBrFSZzeHhONDrhS0A==Fig5b - With ferrite(recal).8.8525E-141.061E-140.02.227034493284492E-137.38861238680555E-131638.01.996E-11UNF:6:ZQ5egO4cvnAIaQCca0l3Ag==Fig5c - Freq. (Hz)0.2608129.8738619333495819.0449.3.819.0224.8224.7977956043955UNF:6:d8tkTRTgVjqSsKmq6skXEg==Fig5c - Channel11.6919672749117022E-117.18359951159951E-12819.05.472E-12.819.02.11E-123.577E-10UNF:6:X64AHLLj0kfEtMCwRO2RQw==Fig5c - Channel2819.03.929E-12819.01.1075367521367521E-11.1.268E-107.713491616785494E-121.002E-11UNF:6:6ZW2Oy5AvBt2NFDEjo+9hg==Fig5c - Gradiometer819.03.816E-121.404E-12819.01.749E-109.7091812242431E-124.832894993894994E-12.UNF:6:NewZP0YiFT+HTHWehebzsA==time9.74629E-42.8161490600695876E-44.873143125000001E-44.8731450000000004E-40.0.1600.00.0UNF:6:qy1auBy20bIOHgUqBOuN6g==power 3.5 mW1600.0.0.76026220739875010.00.27254487584332720.86640403151.11732878-0.305665238UNF:6:zKjcSCy+gfcoNILrRpML0w==power 7.3 mW1600.0-0.057287437.0.273051423123277350.88169428550000011.0486400690.76499808668562510.0UNF:6:tm2GflaS0c77Af6x/6A7Zw==power 18.7 mW0.2655628258944281600.0.1.0160841910.91743133050.78784096002374980.00.0UNF:6:w4F8jqAPKGBCdVxop+zxNw==power 38 mW1600.01.0245047830.97288179150000010.260706401110820830.83441498991000010.0.0.0UNF:6:8zcr+QzCot0fe1uOUfmxmg==power 80 mW.1.00010089199999991600.0-5.20951E-41.0266943980.244303399373874160.00.8684967868700002UNF:6:hcNiEpV/V74eymHUxWwFcw==cw_odmr.mThe codes calculate the theoretical sensitivity with different laser and MW power. The calculated variable 'sensitivity_log' is used for the plotting of Fig3a. The codes are written in m file for matlab. It can also be reproduced for other languages.text/x-matlabFig3a.xlsxRow 1 from C is the optical saturation parameter;
Column A from A3 is the Rabi frequency in Hz;
The table from C3 to ADW403 is the logarithmic sensitivity.application/vnd.openxmlformats-officedocument.spreadsheetml.sheetFig3b.xlsxColumn A: time tags of the experimental data;
Column B: measured fluorescence signal (normalized);
Column C: time tags for the simulation;
Column D-F: Simulated signal
In the legends: k is the pumping rate, and T1 is the longitude decoherence time (see controlled variables)
Laser power is at 80 mW.application/vnd.openxmlformats-officedocument.spreadsheetml.sheetFig3c.xlsxColumn A: Rabi frequency (MHz);
Column B-D: Experimental data (3 times);
Column E: fittingapplication/vnd.openxmlformats-officedocument.spreadsheetml.sheetFig3d.xlsxColumn A: Modulation frequency (Hz);
Column B-D: simulated fluorescence signal contrast.
In the legends: k is the pumping rate, and T1 is the longitude decoherence time (see controlled variables)
Laser power is at 80 mW.application/vnd.openxmlformats-officedocument.spreadsheetml.sheetFig4a.xlsxColumn A: Rabi frequency (MHz);
Column B-D: Linewidth measured by CW-ODMR method;
Column E-G: Linewidth measured by Pulsed ODMR method;
Column H-J: Linewidth measured by CE-pulsed ODMR method;
Column K: Microwave(MW) power (dBm);
Column L: CW-ODMR linewidth (kHz)application/vnd.openxmlformats-officedocument.spreadsheetml.sheetFig4b.xlsxColumn A: frequency modulation (FM) deviation frequency (kHz);
Column B-E: maximum sensitivity with fm=1, 5, 10, 20 kHz, fm is the modulation frequency.
Column F-G: fitting results of fm=1, 5 kHzapplication/vnd.openxmlformats-officedocument.spreadsheetml.sheetFig4c.xlsxColumn A: demodulation frequency;
Column B-G: experimental and fitting results with \beta=1, 2, 4;
Column H: experimental data with BW=100kHz;
Column I: CE-Ramsey resultsapplication/vnd.openxmlformats-officedocument.spreadsheetml.sheetFig4d.xlsxColumn A: demodulation frequency (Hz);
Column B: Electric noise;
Column C: demodulation frequency (kHz);
Column D: laser noise;
Column E-F: minimum detectable field by CE-Ramsey and CW-ODMRapplication/vnd.openxmlformats-officedocument.spreadsheetml.sheetFig5.xlsxColumn A: frequency for optically pumped magnetometer (OPM);
Column B: OPM measured field spectrum;
Column C, F, K: frequency for diamond sensor;
Column D-E: noise spectrum measured by diamond magnetometer with and without MW on resonance;
Column G: noise measurement without ferrite;
Column H: frequency for measurement with ferrite;
Column I, J: results of noise of measurement with ferrite, without calibration and with calibration;
Colum L-N: noise of the gradiometer, Ch1, Ch2, and the graditometerapplication/vnd.openxmlformats-officedocument.spreadsheetml.sheetPL_kinetics.pycodes for the simulation to calculate data in fig3b and fig3dtext/x-pythonrecovery2.xlsxData for the simulation of NV- kinetics. The data is the fluorescence recovery curves under different laser power. The file is imported by the codes in the file 'PL_kinetics.py'application/vnd.openxmlformats-officedocument.spreadsheetml.sheet