Berlin 2018 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 39: Focus Session: Quantum Nanophotonics in Solid State Systems I (joint session HL/TT)
TT 39.16: Vortrag
Dienstag, 13. März 2018, 15:15–15:30, EW 201
Quantization of three-dimensional leaky and lossy cavities using quasinormal modes — •Sebastian Franke1, Stephen Hughes2, Andreas Knorr1, and Marten Richter1 — 1Institut für Theoretische Physik, Nichtlineare Optik und Quantenelektronik, EW 7-1, Technische Universität Berlin, Hardenbergstrasse 36, 10623 Berlin, Germany — 2Department of Physics,Engineering Physics and Astronomy,Queen’s University, Kingston, Ontario, Canada K7L 3N6
Open cavity systems, e.g. plasmonic metal nanoparticles or micropillar cavities, are of high interest in modern research on quantum optics and quantum plasmonics. However, the dissipative character of these systems prevents the use of a canonical quantization scheme with the open cavity photon modes.
We develop a rigorous quantization scheme using a Green’s function approach1 of an inhomogeneous and dispersive medium, and quasinormal modes2 (QNMs) with complex eigenfrequencies ωµ and complex eigenfunctions fµ as a basis for the mode expansion of the quantization. In this way we obtain suitable annihilation and creation operators for modified QNMs to create QNM multi-photon Fock states. Applications to density matrix equations and comparison to the Jaynes-Cummings model will be shown, including extensions to the multi-mode case.
1T. Gruner, and D.-G. Welsch, Phys. Rev. A 53, 1818, 1996
2P. T. Leung, S. Y. Liu, and K. Young, Phys. Rev. A 49, 3057, 1994