- #1

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## Main Question or Discussion Point

From the reading I have done:

In the presence of a drive, which is described by an addition term in the Jaynes-Cummings Hamiltonian, the Hamiltonian cannot be solved analytically. The dynamics of the system become non-trivial, with the behaviour depending on the specic parameter regime. So, the bad cavity limit is where the cavity relaxation ##\kappa## is much greater than the dephasing rates of the qubit ##\gamma##. A system that obeys both the dispersive regime and bad cavity limit allows for a hierarchical scale to be established:

##\gamma << \kappa <<\frac{g^2}{\Delta}<< \Delta << \omega_c##

where ##\Delta## is the difference in the cavity and field frequency and g is the coupling between the qubit and cavity.

So finally my question: What do ##\kappa## and ##\gamma## actually represent? Are the rate at which caivty/qubit emit photons?

In the presence of a drive, which is described by an addition term in the Jaynes-Cummings Hamiltonian, the Hamiltonian cannot be solved analytically. The dynamics of the system become non-trivial, with the behaviour depending on the specic parameter regime. So, the bad cavity limit is where the cavity relaxation ##\kappa## is much greater than the dephasing rates of the qubit ##\gamma##. A system that obeys both the dispersive regime and bad cavity limit allows for a hierarchical scale to be established:

##\gamma << \kappa <<\frac{g^2}{\Delta}<< \Delta << \omega_c##

where ##\Delta## is the difference in the cavity and field frequency and g is the coupling between the qubit and cavity.

So finally my question: What do ##\kappa## and ##\gamma## actually represent? Are the rate at which caivty/qubit emit photons?