A What’s the meaning of decay rate in optical Bloch equations?

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The decay rate, represented by the parameter gamma (Γ or γ), is crucial in optical Bloch equations as it quantifies the spontaneous radiative decay between energy levels. It is not a constant for a specific medium, as it can vary based on environmental conditions such as temperature and pressure. Understanding the decay rate is essential for accurate modeling of atomic behavior in quantum optics. For specific values, resources like the NIST Atomic Spectral Database can provide detailed information on the decay rates of energy levels, such as those in 85Rubidium. The decay rate plays a significant role in the dynamics of atomic probability amplitudes.
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TL;DR
there is a parameter called decay rate(Γ or γ)in the optcial bloch equation or the equation of motion for the atomic probability amplitude.what‘s the meaning of it?
i have some questions about decay rate.
1:why do we need decay rate in these equations?
2:is it a constant for a specific medium?
3:it can be changed with respect to some conditions like temprature or pressure?
4:how can i know the decay rate of some energy levels in 85Rubidium
 
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hongqiaozhang said:
TL;DR Summary: there is a parameter called decay rate(Γ or γ)in the optcial bloch equation or the equation of motion for the atomic probability amplitude.what‘s the meaning of it?

i have some questions about decay rate.
1:why do we need decay rate in these equations?
2:is it a constant for a specific medium?
3:it can be changed with respect to some conditions like temprature or pressure?
4:how can i know the decay rate of some energy levels in 85Rubidium
##\gamma## describes spontaneous radiative decay between the two energy levels.

For quite detailed quantitative information on atoms, consult NIST Atomic Spectral Database.
 
An antilinear operator ##\hat{A}## can be considered as, ##\hat{A}=\hat{L}\hat{K}##, where ##\hat{L}## is a linear operator and ##\hat{K} c=c^*## (##c## is a complex number). In the Eq. (26) of the text https://bohr.physics.berkeley.edu/classes/221/notes/timerev.pdf the equality ##(\langle \phi |\hat{A})|\psi \rangle=[ \langle \phi|(\hat{A}|\psi \rangle)]^*## is given but I think this equation is not correct within a minus sign. For example, in the Hilbert space of spin up and down, having...

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