AtomicDensityMatrix`

AtomicDensityMatrix`

DensityMatrix

DensityMatrix[sys]

forms the density matrix for an atomic system (list of AtomicState objects) sys.

Details and Options

The following options can be given:

	AllowedElements	All	density-matrix elements that are allowed to be nonzero
	ComplexExpandVariables	False	whether to express density-matrix elements in terms of real and imaginary parts
	DMLabel	None	additional label for density-matrix elements
	DMSymbol	ρ	symbol to use for density-matrix elements
	NeglectedElements	None	density-matrix elements that are required to be zero
	Representation	"Zeeman"	Zeeman or polarization-moment representation
	TimeDependence	True	whether density-matrix elements should have explicit time dependence
	TimeVariable	t	symbol to use for time variable

Possible values for the Representation option include "Zeeman" and "PolarizationMoments".
Possible values for the ComplexExpandVariables option are True, False, and Subscript, meaning real and imaginary parts are indicated in a subscript.
Density-matrix elements are set to zero if they are specified by the NeglectedElements option or if they are not specified by the AllowedElements option.

Examples

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Basic Examples (3)

Density matrix for a system with no angular momentum:

Density matrix for a system with Zeeman structure:

Density matrix for a system with hyperfine structure:

Options (8)

AllowedElements (1)

Write a density matrix allowing only matrix elements between states with and :

ComplexExpandVariables (1)

Write density matrix in terms of real and imaginary parts:

Indicate real and imaginary parts using subscript labels:

DMLabel (1)

Label the density matrix elements:

DMSymbol (1)

Use a different symbol for the density matrix:

NeglectedElements (1)

Write a density matrix neglecting the matrix elements between states with and :

Representation (1)

Write the density matrix in the polarization-moment representation:

TimeDependence (1)

Remove explicit time dependence:

TimeVariable (1)

Use a different time variable: