RabiGuessr
How it works
For a thermal motional state in a trapped ion, the carrier Rabi signal is a weighted average over Fock states:
\[P_e(t) = \sum_n p_n\cos^2\left(\Omega_n t / 2\right)\]
where the thermal weights are \(p_n = \frac{1}{1+\bar{n}}\left(\frac{\bar{n}}{1+\bar{n}}\right)^n\) and the Rabi frequencies are given by \(\Omega_n = \Omega_0 e^{-\eta^2/2} L_n\left(\eta^2\right)\) in terms of the the Laguerre polynomials \(L_n\). In each round you see simulated data for an unknown value of \(\bar{n}\) and must estimate it as accurately as possible.
The closer your guess is to the true \(\bar{n}\), the more citations you earn!
Ion settings
Choose your favorite ion species or enter a custom Lamb-Dicke parameter!
Gameplay for different \(\eta\) selections are made as equivalent as possible by scaling \(\bar{n}\) distributions by \(1/\eta^2\). If you're accustomed to Raman Rabi flops, enter the effective difference wavelength.
A five-round trapped-ion challenge where you guess the thermal excitation of the ion's motional state.
50 simulated points with 100 shots each.
Guess \(\bar{n}\)
Guess the thermal excitation of the ion's motional state.