- #1
KFC
- 477
- 4
Hi there,
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, \rho_{ee} and it turns out that \rho_{ee} is a function of a parameter G, which could be space dependent, i.e.
\rho_{ee} = \rho_{ee}(G(x))
as we know, \rho_{ee} 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 \rho_{ee}(G(x)) turns out to be somewhat localized around x=0, so what can I tell about the linewidth of the emitted light?
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, \rho_{ee} and it turns out that \rho_{ee} is a function of a parameter G, which could be space dependent, i.e.
\rho_{ee} = \rho_{ee}(G(x))
as we know, \rho_{ee} 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 \rho_{ee}(G(x)) turns out to be somewhat localized around x=0, so what can I tell about the linewidth of the emitted light?
