AtomicDensityMatrix`

AtomicDensityMatrix`

# LiouvilleEquation

LiouvilleEquation[sys, h]

gives the evolution equations for the density matrix describing atomic system sys under the action of the Hamiltonian h.

LiouvilleEquation[sys, h, rel]

gives the evolution equations for the system subject to the relaxation matrix rel.

LiouvilleEquation[sys, h, rel, rep]

gives the evolution equations for the system subject to the repopulation matrix rep.

# Details and Options

- The atomic system sys is specified as a list of AtomicState objects.
- LiouvilleEquation takes the same options as DensityMatrix, with the default value for each being Automatic, indicating that the corresponding default value for DensityMatrix is used.
- With TimeDependenceTrue specified directly for LiouvilleEquation or as the default value for DensityMatrix, the evolution equations are ordinary differential equations in time.
- With TimeDependenceFalse, algebraic equations for the steady state are returned.

# Examples

open allclose all## Basic Examples (1)

## Options (1)

### TimeDependence (1)

With TimeDependenceFalse, algebraic equations for the steady state are returned: