Optical Lattice Data

Lifetime

You can see in this lifetime the N_0 makes no sense. We noticed this and were replotting data and found this This is without the QWP in the retro This is with the QWP which we can see improves it.

Temperature

Adding the QWP

Parametric Heating

From this it looks like we are not in a lattice in the sense that this trap frequency makes no sense with the calculations in Optical Lattice Calculations Here is steps of 100Hz, with three shots each.

Viewports

According to a thesis form the lab the viewports are fused silica with AR coating from 500nm to 1100nm

Waveplate Turning

We see the atom number is clearly affected by the polarization another piece of evidence we are in the lattice. Here we left the waveplate at 200 degrees and took parametric heating data again. You can clearly see it shifted by ~250Hz so we are changing the trap depth and the frequency.

Polarization

Rotating the waveplate by hand did not help make the polarization work better at 1064nm. We saw the eigen axes of the dichroic were linear polarization S&P. Here the polarization out of the dichroic was not affected by rotation of the dichroic.

This is the polarization after the chamber and second QWP.

This is after rotating the QWP to 200 degrees This is at 160 degrees on the QWP

Atom Number vs Power

The power was converted from this chart

Voltage (V)	Power after telescope (W)
0.1	0.51
0.2	0.51
0.3	2.38
0.4	7.82
0.5	11.05
0.6	14.11
0.7	16.32
0.8	17.34
0.9	17.68
1.0	17.68

Final Data for Lattice Before PA

We are doing Rb-87 a 1ms PG cooling step, 3.5ms cold atom step. The trap laser is 384.228005, repump is 384.234585. We will hold the ODT at 0.9 int he cold atom step, 0.3 onwards to optimize PSD.

PA AOM Voltage to Power

Without the lens, the $1/e^2$ is 1.2mm, with the lens we calculated it should be 0.6mm. To calculate this we used

$2{\omega }_0=\frac{4M^2\lambda f}{\pi D}$

Where we assumed $M=1$ for a perfect gaussian beam, $f=500mm$ and $D=2.4mm$ then used

$\omega (z)={\omega }_0\sqrt{1+\frac{z}{z_R}}$

At 19 inches since that’s where the middle of the chamber should be from the coupler. To be clear this should be measured with the profilers though.

Voltage	Power
0.1	3.6mW
0.12	7.2mW
0.15	16.5mW
0.2	46.3mW
0.25	95.7mW
0.3	1.60.5mW
0.35	202.7mW
0.4	214mW
0.43	215mW
To convert to intensity use

$I=\frac{2P}{\pi {\omega }_0}$

Where ${\omega }_0$ is the $1/e^2$ waist.