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DY: Fachverband Dynamik und Statistische Physik

DY 12: Delay and Feedback Dynamics

DY 12.3: Talk

Monday, March 20, 2017, 16:00–16:15, ZEU 147

Steering quantum feedback via a dielectric medium of resonant two-level systems — •Fabian Faulstich, Nicolas Naumann, Andreas Knorr, and Alexander Carmele — Institut für Theoretische Physik, Nichtlineare Optik und Quantenelektronik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany

Recently, feedback effects have become accessible in quantum optical few emitter systems [1, 2] and theoretical investigations of the feedback delay time have become necessary to reveal the underlying physics [3, 4]. To model quantum delayed feedback, a frequency dependent coupling element in the light-matter interaction is assumed. Here, we derive this light-coupling element by considering a dielectric of identical two-state atoms coupled by the radiation field to an atom outside the dielectric [5].

The Heisenberg equation yields a delay differential operator equation describing the interaction of the atom with the dielectric via photon exchanges. In the macroscopic limit of a continuous distribution of atoms in the dielectric, we derive a more compact delay differential operator equation in which a Fresnel reflection coefficient appears. These equations allow the simulation of the many-photon limit including additional dynamics within the dielectric.

[1] C. Hopfmann, New J. Phys., 15, 025030 (2013).

[2] F. Schulze, et al. Phys. Rev. A, 89.4 (2014): 041801.

[3] H. Pichler and P. Zoller, Phys. Rev. Lett., 116, 093601 (2016).

[4] A. Carmele et al., JOSA B 33.7 (2016): C10-C16.

[5] P. W. Milonni et al. Phys. Rev. A ,35.12 (1987): 5081.

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