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Generalized Dicke Model of Graphene Cavity QED

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Correlations in Condensed Matter under Extreme Conditions

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Abstract

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.

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Author information

Authors and Affiliations

  1. NEST and Scuola Normale Superiore and Istituto Nanoscienze-CNR, Piazza Dei Cavalieri, 7, Pisa, Italy

    F. M. D. Pellegrino

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  1. F. M. D. Pellegrino
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Correspondence to F. M. D. Pellegrino .

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Editors and Affiliations

  1. Dip Fisica e Astronomia, University of Catania Dip Fisica e Astronomia, Catania, Italy

    G. G. N. Angilella

  2. CNR-IMM, Catania, Italy

    Antonino La Magna

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Pellegrino, F.M.D. (2017). Generalized Dicke Model of Graphene Cavity QED. In: Angilella, G., La Magna, A. (eds) Correlations in Condensed Matter under Extreme Conditions. Springer, Cham. https://doi.org/10.1007/978-3-319-53664-4_12

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