We present a theory of the cavity quantum electrodynamics of graphene cyclotron resonance. By employing a canonical transformation, we derive an effective Hamiltonian for the system comprised of two neighboring Landau levels dressed by the cavity electromagnetic field (integer quantum Hall polaritons). This generalized Dicke Hamiltonian, which contains terms that are quadratic in the electromagnetic field and respects gauge invariance, is then used to verify the impossibility of super-radiant instability.
1 Jan 2017
Correlations in Condensed Matter under Extreme Conditions