Reference.Variables.time.pulse

Variable "time.pulse" in MATLAB version of WavePacket

Specifies the electric field(s) to be used to externally control a quantum system by interaction with a dipole moment and/or a polarizability. The time-dependence of the electric field is constructed as a sum of pulses each of which is given by the expression F(t) = A(t−τ) cos(ω(t−τ)⋅(t−τ)+φ₀) with amplitude (pulse shape) vector A(t), delay τ, and phase φ₀. The carrier frequency is given by ω(t)=ω₀+αt+½βt², optionally with linear and/or quadratic chirp.

For the source code of the corresponding package folder, see here.

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shape | String (5 characters) that specifies the shape function g(t) of the pulse. If multiple pulses are used, you have to specify each shape as a new row! I.e., write for example ''time.efield.shape = 'Gauss'; 'Gauss';'' (note the semicolon!).
ampli | Specifies the maximum amplitude F₀ of the pulse(s).
delay | Specifies the delay time(s) τ of the center(s) of the pulse(s).
frequ | Specifies the constant part of the (carrier) frequency ω₀ of the pulse(s).
phase | Specifies the phase shift φ₀ of the pulse(s). If not set, defaults to zero for every pulse.
polar | Gives the polarization angle θ of each pulse. The Hamiltonian for the interaction with the electric field is given as H = −F(t) μ_x cos θ−F(t)μ_y sin θ, where μ_x, μ_y are the dipole moments along the first and second degree of freedom see our wiki page on the implementation of dipole functions. If not set, defaults to zero for every pulse.
linear | Optional: Specifies the linear part α of the chirp. If not set, defaults to zero for every pulse.
quadratic | Optional: Specifies the quadratic part β of the chirp. If not set, defaults to zero for every pulse.

Internal variables

time.efield	Parameters concerning the electric fields
length	An array whose i-th element gives the real length of the i-th pulse.
grid	This has two fields, grid.x and grid.y, that give the electric field along the first and second degree of freedom at each propagation time step.
short	The same as time.efield.grid, but gives the electric field only from the current to the next main time step.
times	This field only exists if at least one electric field is interpolated from a file. It is a cell array, whose i-th element caches the time points loaded from the data file. If the i-th pulse is not interpolated, the entry is empty.
fields	The same as time.efield.times, but holds the envelope function interpolated from the data file.