Where does the 1/√N factor in the Dicke model arise from?

  • Thread starter lfqm
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Hello colleagues, hope you can help me.

The Dicke model describes a system of N two-level atoms cooperatively interacting with a single mode of an electromagnetic field as follows:

[tex] \hat{H}_{D}=\omega_{A}\hat{J}_{z}+\omega_{F}\hat{a}^{\dagger}\hat{a}-\frac{\gamma}{\sqrt{N}}\left(\hat{J}_{-}\hat{a}^{\dagger}+\hat{J}_{+}\hat{a}\right)-\frac{\gamma}{\sqrt{N}}\left(\hat{J}_{+}\hat{a}^{\dagger}+\hat{J}_{-}\hat{a}\right) [/tex]

In the case of a single atom the factor turns into 1, and the hamiltonian of the N atoms should be the sum of N single atom hamiltonians, right? So, where does the 1/√N factor arise from?

Thanks!
 

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  • #2
DrDu
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DrDu
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Actually, it was the first link in google searching for "Dicke model" not related to fat female models ("dicke" means fat, in German) :-)
 
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