Erlangen 2018 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 55: Quantum Effects

Q 55.6: Vortrag

Donnerstag, 8. März 2018, 12:00–12:15, K 1.013

Linking ab-initio theory and phenomenological models of cavity QED — •Dominik Lentrodt, Kilian P. Heeg, Christoph H. Keitel, and Jörg Evers — MPI für Kernphysik, Heidelberg

Historically, there has been a gap in cavity QED between ab-initio theory and a class of phenomenological models based on the input-output formalism. These models have been important in understanding empirical results in the strong coupling regime of cavity QED, since they allow to reduce the dynamics of the atom-cavity system to an effective description in terms of few cavity modes. However despite their success, a derivation of the underlying Gardiner-Collett Hamiltonian from ab-initio quantisation has been elusive and its applicability in low-Q cavities has been debated [1].

Here we present a method to construct a family of Gardiner-Collett Hamiltonians from canonical quantisation of the dielectric Maxwell equations. We explicitly show the relation between classical scattering theory and the input-output formalism, revealing the necessity of a previously unknown background scattering factor. When an atom is added to the cavity, our formalism naturally yields an effective few-mode description of the system as a non-perturbative approximation scheme, in the same way as phenomenological models.

We expect our technique to find applications in the emerging field of x-ray cavity QED with Mössbauer nuclei, where low-Q cavities are in use and previously unknown phase shifts have been observed [2].

[1] S M Dutra & G Nienhuis (2000). Journal of Optics B, 2, 584. [2] Heeg, K. P. & Evers, J. (2015). Phys. Rev. A, 91, 063803.