Hi there,(adsbygoogle = window.adsbygoogle || []).push({});

I am thinking an interesting problem of spatial linewidth of two-level system. Suppose in some way I find out an element of the desinty matrix for the upper state of two-level system, [tex]\rho_{ee}[/tex] and it turns out that [tex]\rho_{ee}[/tex] is a function of a parameter G, which could be space dependent, i.e.

[tex]\rho_{ee} = \rho_{ee}(G(x))[/tex]

as we know, [tex]\rho_{ee}[/tex] tells the inversed population of the system, when the atoms jump back to ground state from excited state, one line will be observed. Now, suppose I choose G(x) to be a specific function, e.g. Gaussian, such that [tex]\rho_{ee}(G(x))[/tex] turns out to be somewhat localized around x=0, so what can I tell about the linewidth of the emitted light?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Spatial linewidth and density matrix

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads for Spatial linewidth density |
---|

I What is the meaning of coherent states of mean photon number |

I Normalization and the probability amplitude |

I Indices of a Density Matrix |

A States in usual QM/QFT and in the algebraic approach |

I Does spatial entanglement reduce total classical entropy? |

**Physics Forums | Science Articles, Homework Help, Discussion**