Marc and Yuhang
We ran mcmc fit of measurement in elog2546 based on the emcee pakage. This run took about 3 hours by using a computer with 20 cores, which is ten times faster than the time of 30 hours by using a single core. This time consuming is reasonable since there will be some overhead while using multiprocessing.
In this run, we tried two situations: two free parameters (detuning, homodyne angle), four free parameters (squeezing level, optical losses, detuning, homodyne angle).
The mcmc run for two free parameters is shown in attached figure 1 and 2. This run is very successful since we see a clear contour distribution in figure 1 and parameters are always in the stable region as figure 2.
least square | mcmc | |
homodyne angle | 5.3 +/- 0.2 | 4.9 +0.1026/-0.0987 |
detuning | 72.1 +/- 0.6 | 78.25 + 0.5013/-0.4992 |
The mcmc run for four free parameters is shown in attached figure 3 and 4. This run needs some optimization.