Dresden 2009 – scientific programme
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HL: Fachverband Halbleiterphysik
HL 9: Poster 1
HL 9.97: Poster
Monday, March 23, 2009, 14:30–17:00, P2
Few-Photon-Quantum Transport Through a Photonic-Crystal Waveguide With A Two-Level System — •Paolo Longo1, Kurt Busch1,2, and Peter Schmitteckert2 — 1Institut für Theoretische Festkörperphysik, Universität Karlsruhe (TH) — 2Institut für Nanotechnologie, Forschungszentrum Karlsruhe
Quantum optics in photonic crystals is a very fascinating field of research. Recent work [1] shows that scattering of a two-photon state with a two-level impurity is qualitatively different from single-particle physics which effectively enables the possibility to induce interactions between photons.
Exact numerical studies of the interaction of a multi-photon, multi-moded, quantized light field with a single two-level impurity are presented. The time evolution of photonic wave-packets, observables and correlation functions can be calculated by using a discrete finite-lattice version of a generalized Dicke-Hamiltonian.
For first considerations the Hamiltonian is reformulated as a tight-binding model,
H=-t ∑i=1M-1 (a^†_i+1 a^_i + a^†_i a^_i+1)+ Ω/2 σ_z + V (a^†_l σ^- + a^_l σ^+),
with which we evolute photonic quantum states in time
in order to calculate scattering properties of
single- und multi-photon states.
[1] J. T. Shen and S. Fan, Phys. Rev. Lett. 98, 153003 (2007).