Quantum magneto-electrodynamics of electrons embedded in a photon cavity

Details Quantum magneto-electrodynamics of electrons embedded in a photon cavity Quantum magneto-electrodynamics of electrons embedded in a photon cavity

2011-09-21

arxiv.org/abs/1109.4594v1

New J. Phys. 14 013036, (2012)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

LaTeX 16 pages with included 5 eps figures

Scientific paper

10.1088/1367-2630/14/1/013036

We investigate the coupling between a quantized electromagnetic field in a cavity resonator and a Coulomb interacting electronic system in a nanostructure in an external magnetic field. Effects caused by the geometry of the electronic system and the polarization of the electromagnetic field are explicitly taken into account. Our numerical results demonstrate that the two-level system approximation and the Jaynes-Cummings model remain valid in the weak electron-photon coupling regime, while the quadratic vector potential in the diamagnetic part of the charge current leads to significant correction to the energy spectrum in the strong coupling regime. Furthermore, we find that a coupling to a strong cavity photon mode polarizes the charge distribution of the system requiring a large basis of single-electron eigenstates to be included in the model.

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