AtomicDensityMatrix

mathematica package

AtomicDensityMatrix is a package for Mathematica version 6 that facilitates density-matrix calculations in atomic and related systems.

Features:

Easily generate systems with Zeeman and hyperfine structure, or neglect angular momentum.
Automatically generate Hamiltonians including the effects of arbitrary electric and magnetic fields
Implements rotating-wave approximation
Include relaxation effects, including spontaneous decay
Formulate and solve density matrix evolution equations for time dependence or in the steady state
Find effect of atomic polarization on light polarization, using various light polarization parameterization schemes
Perform irreducible tensor decomposition of the density matrix
Perform arbitrary rotations of operators and irreducible tensors
Visualize atomic polarization using angular-momentum probability surfaces
User extensible

Download ADM_xx.xx.xx.zip
Unzip into the "Applications" subdirectory of the Mathematica base directory. You can find this directory by evaluating ToFileName[{$BaseDirectory, "Applications"}] or ToFileName[{$UserBaseDirectory, "Applications"}] in Mathematica
After restarting Mathematica, the beginnings of a help file and demos should be available in the Mathematica Documentation Center under "Installed Add-Ons" (lower right-hand corner)
The package can be loaded into Mathematica by evaluating <<AtomicPhysics`

Added "The AC Stark Effect" example
Added "The Wigner-Eckart Theorem", "Constructing the Hamiltonian", "The Rotating-wave Approximation" tutorials
Improved LevelDiagram function

Got documentation working in 6.0.3
Revamped Guide page
Added "Displaying the Density Matrix" tutorial
Added "Collapse and Revival Quantum Beats" example
Added symbol reference pages for DensityMatrix, DMVariables, Ket, AtomicState, L, S
Added $ADMVersion symbol.