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

In summary, the decay rate (Γ or γ) is a parameter in the optical Bloch equations or the equation of motion for the atomic probability amplitude. It represents the rate of spontaneous radiative decay between two energy levels and can be affected by conditions such as temperature and pressure. The NIST Atomic Spectral Database can provide specific information on the decay rate for energy levels in 85Rubidium.
  • #1
hongqiaozhang
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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
 
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  • #2
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.
 

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

What is the decay rate in the context of optical Bloch equations?

The decay rate in optical Bloch equations refers to the rate at which the population of an excited atomic or molecular state decreases over time due to spontaneous emission or other relaxation processes. It quantifies how quickly the excited state returns to the ground state.

How is the decay rate represented in the optical Bloch equations?

In optical Bloch equations, the decay rate is typically represented by the symbol Γ (gamma). It appears in the equations governing the time evolution of the density matrix elements, particularly in the equations for the excited state population and the off-diagonal coherence terms.

What physical processes contribute to the decay rate in optical Bloch equations?

The decay rate can include contributions from various physical processes such as spontaneous emission, non-radiative decay, collisional quenching, and other forms of dephasing. Each of these processes can contribute to the overall rate at which the excited state population decays.

Why is the decay rate important in understanding the dynamics of a two-level system?

The decay rate is crucial for understanding the dynamics of a two-level system because it determines how quickly the system loses energy and coherence. This affects the system's response to external fields, the steady-state population distribution, and the overall behavior of the system in various applications, such as laser operation and quantum information processing.

How can the decay rate be experimentally measured in optical systems?

The decay rate can be experimentally measured using techniques such as time-resolved fluorescence spectroscopy, where the intensity of emitted light is monitored as a function of time after excitation. The decay rate can be extracted from the exponential decay of the fluorescence signal. Other methods include pump-probe spectroscopy and photon correlation measurements.

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