JacobHA / sech_pulse

TODOs:

• Various pulse shapes
• Plot pulse and detuning
• Separate animation file
• Fix factor of 2
• Add assertion for integration cutoff (ensure sech is near zero at bounds)
• compile in C with string hamiltonian

Here is an animation for the beta=0 pulse:

We measure fidelity from initial state (ground state) to find where the system is fully excited. This would correspond to a value of $\beta$ matching the detuning: $\beta=-2\Delta$.

Here is the fidelity as a function of beta (magnetometer):

And at finite temperature, with various detunings:

Here is the "error" (width at 1% fidelity) as a function of beta (magnetometer):