TACC clock transition

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Table of contents

1 Trapped Atom Clock on a Chip 
1.1 Atomic clocks
1.1.1 Rabi and Ramsey spectroscopy
1.1.2 Clock stability
1.2 Trapped atom clock on a chip (TACC)
1.2.1 Magic traps
1.2.2 Density shifts in trapped atom clouds
1.2.3 87Rb for TACC
1.2.4 TACC clock transition
1.3 Magnetic trapping and manipulation of neutral atoms
1.3.1 Basic principle
1.3.2 Majorana losses
1.4 Atom chip technology
1.4.1 Basic principle
1.4.2 Trap types
1.4.3 Trap depth
1.4.4 Gravitational sag and rotation
2 Spin-Squeezing for Metrology 
2.1 Spin-squeezing
2.2 Atom-light interaction
2.3 Spin-squeezing for TACC 2
2.3.1 Cavity feedback squeezing
2.3.2 Squeezing by QND measurement
2.4 Requirements for the new experiment
2.5 Conclusion
3 CO2 Machining with Multiple Pulses 
3.1 CO2 machining of fused silica
3.2 Limiting factors in single-pulse machining
3.3 Dot milling setup
3.3.1 In situ profilometry
3.3.2 Multi-fiber holder for mass production
3.4 Dot milling with CO2 laser pulses on fiber end facets
3.4.1 Fiber preparation
3.4.2 Multiple shots
3.4.3 Machining large spherical structures by CO2 dot milling
3.5 Conclusion
4 Long Fiber Fabry-Pérot Resonators 
4.1 Optical Resonators
4.1.1 Resonance, transmission and finesse
4.1.2 Mode geometry
4.1.3 Fiber Fabry-Pérot resonators
4.1.4 Resonator losses
4.1.5 Coupling to the resonator
4.1.6 Photonic-crystal fibers for FFP cavities
4.1.7 Conclusion
4.2 Experimental realization and results
4.2.1 Finesse and transmission measurements
4.2.2 Analytical model: clipping loss
4.2.3 Full simulation of the cavity mode using reconstructed mirror profiles
4.2.4 Cavity transmission
4.2.5 Higher order modes
4.2.6 Double -Resonators
4.2.7 A compact FFP resonator mount
4.2.8 Resonators for TACC2
4.3 Conclusion
5 Atom Chip for TACC 2 
5.1 Requirements catalogue
5.2 Layout of the atom chip
5.2.1 Atom transport
5.2.2 Three-wire trap
5.2.3 Effect of the bias field inhomogeneity on the trap position
5.2.4 Stand-alone chip trap
5.2.5 MW coplanar wave guide
5.3 Fabrication
5.3.1 Base chip
5.3.2 Science chip
5.3.3 “Marriage” of chip and resonator
Conclusion and Outlook

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