Data supporting the PhD thesis titled "Levitated Magnetomechanical and Optomechanical Systems as Ultra-Sensitive Resonators" by Christopher Timberlake.

Dataset DOI: 10.5258/SOTON/D1629

Licence: CC BY

Data for chapter "Magnetic Trap: Optical Detection"

Data used in Fig. 3.12. All files are begin with C2cal-0.193x3000 and end in a different 2 digit number:

	Piezo voltage		|		file ending
		0.0		|		04
		0.2		|		05
		0.4		|		06
		0.6		|		07
		0.8		|		08
		1.0		|		09
		1.2		|		10
		1.4		|		11
		1.6		|		12
		1.8		|		13
		2.0		|		14
		2.2		|		15
		2.4		|		16
		2.6		|		17
		2.8		|		18
		3.0		|		19
		3.2		|		20
		3.4		|		21
		3.6		|		22
		3.8		|		23
		4.0		|		24
		4.2		|		25
		4.4		|		26
		4.6		|		27
		4.8		|		28
		5.0		|		29
		5.2		|		30

	Data used for Fig. 3.13: C115-5-1900000.trc
	
	Dataset is 100 seconds of time data converted into a power spectral density, which can be read and analysed with Optoanalysis data analysis tool (used with PYHTON): https://github.com/AshleySetter/optoanalysis

	Data used for Figs. 3.14 and 3.15: C115-5-1900005.trc

	Dataset is 2000 seconds of time data, read with Optonanlysis. 
	Fig. 3.14 is a power spectral density of the entire 2000 seconds of data
	Fig. 3.15 (A) shows 500s of the time data. Figs. 3.15 (B), (C) and (D) show the power spectral densities for different 30s time chunks. 

Data for chapter "The Levitating Magnet as a Harmonic Oscillator"

	Data used for Fig. 4.1: C1maglev100026.trc
	
	Fig. 4.1 (A) is a small portion of the time trace of this dataset
	Fig. 4.1 (B) is a power spectral density of the entire time trace of 1000 seconds

	Data used for Fig, 3.2: C1maglev100031.trc

	Fig. 4.2 is a power spectral density generated from 2000 seconds of time data, zoomed around 19.5 Hz

	Data used for Fig. 3.6: 11-2000s.trc

	Fig. 4.6 is a power spectral density of the entire 2000 seconds of time data

	Data used for Fig. 4.7 (A): RD.trc and 4.7 (B): RD_cooling.trc

	Fig. 4.7 (A) is a ringdown measurement of the 19.6 Hz mode. The plot is made by using a FIR filter around the relevant mode, and plotting the time trace of the filtered data
	Fig. 4.7 (B) is a ringdown measurement of the 19.6 Hz mode with feedback cooling applied. The plot is made by using a FIR filter around the relevant mode, and plotting the time trace of the filtered data
	

Data for chapter "The Levitating Magnet as a Sensor":

	All datasets are time data, and can be read and analysed with Optoanalysis data analysis tool (used with PYHTON): https://github.com/AshleySetter/optoanalysis

	The dataset used for Figs 5.1 and 5.2 is a time trace where the oscillator was excited mechanical a number of times. Fig. 5.1 is a ring down measurement starting from -450 s, and Fig. 5.2 is the frequency spectrum of the entire time trace.

	The datasets used for Fig. 3 is for a series of applied AC voltages (on resonance), which resulted in amplitude responses of the oscillator.

	Data used in Figs. 5.1 and 5.2: 'DataFig2.trc'

	Data used in Figs. 5.5 and 5.6:

	filename		|		Applied AC RMS Voltage (mV)
	DataFig3_0-0mV.trc	|			0.0 
	DataFig3_1-3mV.trc	|			1.3
	DataFig3_2-6mV.trc	|			2.6
	DataFig3_3-9mV.trc	|			3.9
	DataFig3_5-2mV.trc	|			5.2
	DataFig3_6-5mV.trc	|			6.5

	Data used in Fig. 5.8:

	filename		|		Figure		
	Geophone_1.csv		|		C
	Geophone_2.csv		|		A
	Geophone_5.csv		|		E	
	Geophone_14.csv		|		F
	Geophone_15.csv		|		B
	Geohpne_16.csv		|		D

	Data used in Figs. 5.9 and 5.10 are the same as used in 5.8, but with different comparisons made.

Data for chapter "Magnetic Trap: SQUID Detection"

	Data used for Figs. 6.7, 6.8, 6.9 and 6.10 : C1maglev-overnight00028.trc

	Dataset is 2000 seconds of time data, read with Optonanlysis.

	Fig. 6.7 is a time trace of 3 seconds of data
	Fig. 6.8 is a power spectral density of all 2000s of time data
	Fig. 6.9 is a power spectral density of 2000s zoomed around 55Hz	
	Fig. 6.10 (A) are ringdown measurements of a 15.2Hz (A) and 53.9 Hz (B) modes. The plots are made by using a FIR filter around the relevant mode, and plotting the time trace of the filtered data
	
	Data used for Fig. 6.12 (A): C1maglev-overnight00000.trc and 6.12 (B): C1maglev-overnight00013.trc

	Fig. 6.12 (A) is a ringdown of the 118.6 Hz mode with no feedback cooling applied
	Fig. 6.12 (B) is a ringdown of the 118.6 Hz mode with feedback cooling applied

	Data used in Fig. 6.13:

	filename			|		Figure		
	Geophone_300mK_1.csv		|		B
	Geophone_300mK_2.csv		|		C
	Geophone_300mK_3.csv		|		A

	Data used in Figs. 6.14 and 6.15 are from the same datasets as Fig. 6.13, but with different comparisons made.	



Data for chapter "Fano Anti-Resonance in Levitated Optomechanics"

	DC voltage run for data in folder "Particle 1"

	'C1_3mbar.trc' is reference save at pressure of 3 mbar. All subsequent data is taken at 3 x 10^-5 mbar pressure. Run number corresponds to the digits at the end of the filename, which is in the form "C1_00XXX.trc" where XXX is the run number.

	Run number       		|   DC voltage (kV)   |  
	0-9					0
	10-19   				1	
	20-29					2
	30-39					3
	40-49					4
	50-59					5
	60-69					6
	70-79					7
	80-89					8
	90-99					9
	100-109					10

	---------------------------------------------------------------------------------------------------------------------------
	DC voltage run for data in folder "Particle 2"

	All data taken at a vacuum pressure of 8 x 10^-5 mbar. Run number corresponds to the digits at the end of the filename, which is in the form "C1_00XXX.trc" where XXX is the run number.

	Run number       		|   DC voltage (kV)   |  	
	0-9					0
	10-19   				1
	20-29					0
	30-39					2
	40-49					0
	50-59					3
	60-69					0
	70-79					4
	80-89					0
	90-99					5
	100-109					0
	110-119					6
	120-129					0
	130-139					7
	140-149					0
	150-159					8
	160-169					0
	170-179					9
	180-189					0
	190-199					10
	200-209					0

Related projects/Funders: EU (H2020-FETOPEN-RIA, 517339), Leverhulme Trust (RPG-2016-046)

Some of the data presented in this thesis has been published in journal articles. The articles are:

Acceleration sensing with magnetically levitated oscillators above a superconductor, C. Timberlake, G. Gasbarri, A. Vinante, A. Setter, and H. Ulbricht, Applied Physics Letters 115, 224101 (2019).

Static force characterization with Fano anti-resonance in levitated optomechanics, C. Timberlake, M. Toros, D. Hempston, G. Winstone, M. Rashid, and H. Ulbricht, Applied Physics Letters 114, 023104 (2019).

Ultralow mechanical damping with Meissner-levitated ferromagnetic microparticles, A. Vinante, P. Falferi, G. Gasbarri, A. Setter, C. Timberlake,  and  H.  Ulbricht, Physical Review Applied 13, 064027 (2020).