add_rectangle_pulse

DrivingField.add_rectangle_pulse(amplitude, frequency, phase, duration, start=None, rise_time=0, fall_time=0)

Add a pulse to the driving field with rectangular envelope (constant-amplitude). The pulse is described by a frequency and a phase, and its envelope is characterized by an amplitude and a duration. By default, the pulse is turned on and off instantly, but by setting the rise_time and fall_time parameters, the rise and fall of the pulse can be set to a finite duration.

Parameters:

  • amplitude (float) – Amplitude of the pulse (in \(\text{T}\)).

  • frequency (float) – Frequency of the pulse (in \(\text{MHz}\)).

  • phase (float) – Phase of the pulse.

  • duration (float) – Duration of the pulse (in \(\mu\text{s}\)).

  • start (float | None) – Trigger (start) time of the pulse (in \(\mu\text{s}\), defaults to end of the last pulse).

  • rise_time (float) – Rise time of the pulse (in \(\mu\text{s}\)).

  • fall_time (float) – Fall time of the pulse (in \(\mu\text{s}\)).

Note

  • The time-dependence of the rise and fall is described by a sinusoidal function, for instance:

\[f_\text{rise}(t) = \frac{A}{2}\left(1+\cos\left[\pi\left(1-\frac{t}{\tau_\text{rise}}\right) \right]\right),\quad\text{where } 0 \le t \le \tau_\text{rise}.\]