Code Prop TB

class propTB.propTB(lat, steps, dz)[source]

Bases: object

Get lattice time evolution. Time dependent Schrödinger equation solved by Crank-Nicolson method.

get_prop_nonlin(ham, psi_init, nu=0, norm=True)[source]

Get the time evolution.

Parameters:
  • ham – Tight-Binding Hamilonian.
  • psi_init – Initial state.
  • norm – Default value True. Normalize the norm to 1 at each step.
get_prop(ham, psi_init, norm=True)[source]

Get the time evolution.

Parameters:
  • ham – Tight-Binding Hamilonian.
  • psi_init – Initial state.
  • norm – Default value True. Normalize the norm to 1 at each step.
get_pump(hams, psi_init, nu=0, norm=True)[source]

Get the time evolution under adiabatic pumpings.

Parameters:
  • hams – Tight-Binding Hamilonians.
  • psi_init – Initial state.
  • norm – Default value True. Normalize the norm to 1 at each step.
plt_prop1d(fs=20)[source]

Plot time evolution for 1D systems.

Parameters:fs – Default value 20. Fontsize.
prop_smooth1d(prop, a=14.0, no=40)[source]

Smooth propagation for 1D systems. Perform Gaussian interpolation e^{-a(x-x_i)^2},

Parameters:
  • prop – Propagation.
  • a – Default value 10. Gaussian Parameter.
  • no – Default value 40. Number of points of each Gaussians.
Returns:

  • smooth – Smoothed propagation.
get_ani(s=300, fs=20)[source]

Get time evolution animation.

Parameters:
  • s – Default value 300. Circle shape.
  • fs – Default value 20. Fontsize.
Returns:

  • ani – Animation.
get_ani_nb(s=300, fs=20)[source]

Get time evolution animation for iPython notebooks.

Parameters:
  • s – Default value 300. Circle shape.
  • fs – Default value 20. Fontsize.
Returns:

  • ani – Animation.
plt_prop_dimer(lw=5, fs=20)[source]

Plot time evolution for dimers.

Parameters:
  • lw – Default value 5. Linewidth.
  • fs – Default value 20. Fontsize.
Returns:

  • fig – Figure.