Dresden 2017 – wissenschaftliches Programm
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HL: Fachverband Halbleiterphysik
HL 63: Poster: Quantum Dots and Optics
HL 63.59: Poster
Mittwoch, 22. März 2017, 15:00–19:00, P1A
Fock states, annihilation and creation operators, and quantum statistical applications of quasinormal modes — •Sebastian Franke, Andreas Knorr, and Marten Richter — Institut für Theoretische Physik, Nichtlineare Optik und Quantenelektronik, EW 7-1, Technische Universität Berlin, Hardenbergstrasse 36, 10623 Berlin, Germany
A quantum description of an open optical cavity, e.g. a metal nanoparticle or a micropillar cavity, is of high interest in the field of quantum optics of nanostructures. The open and dissipative character of these systems prevents the use of a canonical quantization scheme with photon modes for such cavities.
Our objective is to develop a quantization scheme via a Green’s function approach1 for an inhomogeneous and dispersive medium for the open cavity. Therefore, we use quasinormal modes2 (QNM) with complex eigenfrequencies ωµ and complex eigenfunctions fµ as a basis for the quantization. We construct suitable non-bosonic annihilation and creation operators αµ, ᵆ for every quasinormal mode ωµ in the cavity. Furthermore the calculation of commutation relations and Heisenberg equations of motion for these operators coupled to quantum emitters (like quantum dots) will be shown together with a construction of the analogue of Fock states.
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